ALEX Lesson Plans
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Title: Number Carousel
Description:
First grade students will be able to use various strategies and their understanding of addition to make 10 and 17 in multiple ways. Lesson will help students using 2 or 3 different numbers to make 10 or using 2 or 3 different numbers up to make 20.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2]
Subject: Mathematics (1)
Title: Number Carousel
Description: First grade students will be able to use various strategies and their understanding of addition to make 10 and 17 in multiple ways. Lesson will help students using 2 or 3 different numbers to make 10 or using 2 or 3 different numbers up to make 20.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Adding with the Associative Property
Description:
Students will learn ways to add using the associative property of addition. Students will view a PowerPoint presentation to introduce associative property of addition.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [TC2] (02) 7: Use digital tools to access and retrieve information.
Subject: Mathematics (1), or Technology Education (K  2)
Title: Adding with the Associative Property
Description: Students will learn ways to add using the associative property of addition. Students will view a PowerPoint presentation to introduce associative property of addition.
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Title: Camp Add 'Em Up
Description:
When you go to camp, you expect to have a great time and learn a lot. The Camp Add 'Em Up lesson series is designed to guide a first grade student through development of addition and subtraction strategies through patterning. This lesson has the unique element of offering the learning pages in Spanish for students who are bilingual or for the teacher who would like to integrate Spanish language elements into lessons. Creative learners and technical learners have options included within each lesson as extension activities.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3]
Subject: Mathematics (1)
Title: Camp Add 'Em Up
Description: When you go to camp, you expect to have a great time and learn a lot. The Camp Add 'Em Up lesson series is designed to guide a first grade student through development of addition and subtraction strategies through patterning. This lesson has the unique element of offering the learning pages in Spanish for students who are bilingual or for the teacher who would like to integrate Spanish language elements into lessons. Creative learners and technical learners have options included within each lesson as extension activities.
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Title: Cookie Jar Subtraction
Description:
In this language development subtraction lesson English Language Learners will learn and practice using vocabulary and sentence structures for subtraction. The lesson incorporates technology, handson manipulatives, and multiple opportunities for interaction to engage students in the math content. The format follows the Sheltered English Instructional Protocol (SIOP).
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 14: Subtract multiples of 10 in the range 1090 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [1NBT6] [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4]
Subject: Mathematics (1)
Title: Cookie Jar Subtraction
Description: In this language development subtraction lesson English Language Learners will learn and practice using vocabulary and sentence structures for subtraction. The lesson incorporates technology, handson manipulatives, and multiple opportunities for interaction to engage students in the math content. The format follows the Sheltered English Instructional Protocol (SIOP).
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Title: You Can Add!
Description:
Students will learn ways to add using the associative property of addition. Students will view a PowerPoint presentation to introduce associative property of addition.
Standard(s): [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7]
Subject: Mathematics (1), or Technology Education (K  2)
Title: You Can Add!
Description: Students will learn ways to add using the associative property of addition. Students will view a PowerPoint presentation to introduce associative property of addition.
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Title: How Many Times Did You Add That?
Description:
After watching the video clip of the Hershey's plant, students will use grid paper to investigate multiplication as repeated addition.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [T1] P&P (2) 5: Explain the relationship between the production and distribution processes. [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4] [MA2013] (1) 13: Given a twodigit number, mentally find 10 more or 10 less than the number without having to count; explain the reasoning used. [1NBT5] [MA2013] (1) 14: Subtract multiples of 10 in the range 1090 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [1NBT6] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 2: Fluently add and subtract within 20 using mental strategies. (See standard 6, Grade 1, for a list of mental strategies.) By end of Grade 2, know from memory all sums of two onedigit numbers. [2OA2] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 4: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. [2OA4] [MA2013] (2) 18: Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. [2MD5] [MA2013] (3) 4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [3OA4] [MA2013] (4) 6: Recognize that in a multidigit whole number, a digit in one place represents ten times what it represents in the place to its right. [4NBT1]
Subject: Mathematics (1  4), or Social Studies (2)
Title: How Many Times Did You Add That?
Description: After watching the video clip of the Hershey's plant, students will use grid paper to investigate multiplication as repeated addition.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: My Time!
Description:
This lesson provides the students with practice in telling time, record keeping, and elapsed time.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [CE] (012) 16: Punctuality [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 17: Tell and write time in hours and halfhours using analog and digital clocks. [1MD3] [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (2) 20: Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. [2MD7] [MA2013] (2) 23: Draw a picture graph and a bar graph (with singleunit scale) to represent a data set with up to four categories. Solve simple puttogether, takeapart, and compare problems using information presented in a bar graph. (See Appendix A, Table 1.) [2MD10]
Subject: Character Education (K  12), or Mathematics (K  2)
Title: My Time!
Description: This lesson provides the students with practice in telling time, record keeping, and elapsed time.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: "No More Money Trouble"
Description:
This lesson will allow students to identify and count money. They will enjoy playing with coins that look like real money. This lesson is guaranteed to motivate students through the use of handson and cooperative group activities. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [ELA2013] (2) 30: Recount or describe key ideas or details from a text read aloud or information presented orally or through other media. [SL.2.2] [ELA2013] (2) 29: Participate in collaborative conversations with diverse partners about Grade 2 topics and texts with peers and adults in small and larger groups. [SL.2.1] [ELA] (2) 4: Demonstrate comprehension of secondgrade reading materials across the curriculum, including drawing simple conclusions, classifying ideas and things, identifying sequence, and retelling directions and information from informational and functional reading materials. [TC2] (02) 9: Identify digital tools used for problem solving. [MA2013] (0) 5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. [KCC5] [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (3) 11: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. [3NBT2]
Subject: English Language Arts (2), or English Language Arts (2), or Mathematics (K  3), or Technology Education (K  2)
Title: "No More Money Trouble"
Description: This lesson will allow students to identify and count money. They will enjoy playing with coins that look like real money. This lesson is guaranteed to motivate students through the use of handson and cooperative group activities. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: "Triple Addition Shuffle"
Description:
Student will engage in a card game that will enhance their thinking while adding more than two numbers.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (0) 2: Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [KCC2] [MA2013] (0) 3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 020 (with 0 representing a count of no objects). [KCC3] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 9: Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. [1NBT1] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1]
Subject: Mathematics (K  2)
Title: "Triple Addition Shuffle"
Description: Student will engage in a card game that will enhance their thinking while adding more than two numbers.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Mix it Up! Exploring the Commutative and Associative Properties of Addition.
Description:
By now, students have learned that fact families include both addition and subtraction facts. They have also learned that by reversing the order of the addends, they can form related addition facts with the same sum. The students will revisit this concept to help them prepare for addition and subtraction with regrouping.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3]
Subject: Mathematics (1)
Title: Mix it Up! Exploring the Commutative and Associative Properties of Addition.
Description: By now, students have learned that fact families include both addition and subtraction facts. They have also learned that by reversing the order of the addends, they can form related addition facts with the same sum. The students will revisit this concept to help them prepare for addition and subtraction with regrouping.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Multiplication Facts, Facts, Facts and Some Reese's Pieces for Snack!!
Description:
This lesson teaches the basic math multiplication facts in a fun way so that students will want to remember them. Knowledge of all multiplication facts will help with learning subsequent skills in longer multiplication, division, fractions, etc.
Standard(s): [TC2] (35) 8: Collect information from a variety of digital sources. [TC2] (35) 6: Describe social and ethical behaviors related to technology use. [TC2] (35) 5: Practice safe use of technology systems and applications. [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. [1OA8] [MA2013] (1) 10: Understand that the two digits of a twodigit number represent amounts of tens and ones. Understand the following as special cases: [1NBT2] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4] [MA2013] (1) 13: Given a twodigit number, mentally find 10 more or 10 less than the number without having to count; explain the reasoning used. [1NBT5] [MA2013] (1) 14: Subtract multiples of 10 in the range 1090 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [1NBT6] [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 2: Fluently add and subtract within 20 using mental strategies. (See standard 6, Grade 1, for a list of mental strategies.) By end of Grade 2, know from memory all sums of two onedigit numbers. [2OA2] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 4: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. [2OA4] [MA2013] (2) 6: Count within 1000; skipcount by 5s, 10s, and 100s. [2NBT2] [MA2013] (2) 7: Read and write numbers to 1000 using baseten numerals, number names, and expanded form. [2NBT3] [MA2013] (2) 8: Compare two threedigit numbers based on meanings of the hundreds, tens, and ones digits using >, =, and < symbols to record the results of comparisons. [2NBT4] [MA2013] (2) 9: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2NBT5] [MA2013] (2) 10: Add up to four twodigit numbers using strategies based on place value and properties of operations. [2NBT6] [MA2013] (2) 11: Add and subtract within 1000 using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting threedigit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. [2NBT7] [MA2013] (2) 12: Mentally add 10 or 100 to a given number 100 – 900, and mentally subtract 10 or 100 from a given number 100 – 900. [2NBT8] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9] [MA2013] (3) 1: Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. [3OA1] [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Subject: Mathematics (1  3), or Technology Education (3  5)
Title: Multiplication Facts, Facts, Facts and Some Reese's Pieces for Snack!!
Description: This lesson teaches the basic math multiplication facts in a fun way so that students will want to remember them. Knowledge of all multiplication facts will help with learning subsequent skills in longer multiplication, division, fractions, etc.
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Title: Toy Store Money
Description:
During this lesson students will have the opportunity to use real coins to purchase items in a class department store. Students will work to determine which coins they need to purchase an object. They will also practice counting skills on the Internet before the big shopping day.
Standard(s): [TC2] (02) 1: Identify basic parts of various technology systems. [TC2] (02) 2: Identify applications and operations of various technology systems. [TC2] (02) 3: Demonstrate correct posture and finger placement while using a technology system. [TC2] (02) 4: Identify safe use of technology systems and applications. [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [MA2013] (0) 2: Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [KCC2] [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 6: Count within 1000; skipcount by 5s, 10s, and 100s. [2NBT2] [MA2013] (2) 7: Read and write numbers to 1000 using baseten numerals, number names, and expanded form. [2NBT3]
Subject: Mathematics (K  2), or Technology Education (K  2)
Title: Toy Store Money
Description: During this lesson students will have the opportunity to use real coins to purchase items in a class department store. Students will work to determine which coins they need to purchase an object. They will also practice counting skills on the Internet before the big shopping day.
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Title: Hundred Blocks Board
Description:
In this lesson students will practice adding, subtracting, and multiplying without regrouping using a hundred blocks board. Students will be given opportunities to identify and discuss different patterns that they discover and relate number patterns to visual patterns.
Standard(s): [TC2] (02) 6: Identify uses of technology systems in daily living. [TC2] (02) 7: Use digital tools to access and retrieve information. [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 10: Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). [KOA3] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4] [MA2013] (1) 14: Subtract multiples of 10 in the range 1090 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [1NBT6] [MA2013] (2) 4: Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends. [2OA4] [MA2013] (2) 9: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2NBT5] [MA2013] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9]
Subject: Mathematics (K  3), or Technology Education (K  2)
Title: Hundred Blocks Board
Description: In this lesson students will practice adding, subtracting, and multiplying without regrouping using a hundred blocks board. Students will be given opportunities to identify and discuss different patterns that they discover and relate number patterns to visual patterns.
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Title: How Many More?
Description:
In this lesson, one of a multipart unit from Illuminations, students write subtraction problems, model them with sets of fishshaped crackers, and communicate their findings in words and pictures. They record differences in words and symbols. The additive identity is reviewed in the context of comparing equal sets. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 13: Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. [KNBT1] [MA2013] (0) 20: Analyze and compare two and threedimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices or "corners"), and other attributes (e.g., having sides of equal length). [KG4] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. [1OA8]
Subject: Mathematics Title: How Many More?
Description: In this lesson, one of a multipart unit from Illuminations, students write subtraction problems, model them with sets of fishshaped crackers, and communicate their findings in words and pictures. They record differences in words and symbols. The additive identity is reviewed in the context of comparing equal sets. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Counting Back and Counting On
Description:
This lesson, one of a multipart unit from Illuminations, focuses on the counting model for subtraction. Students model numbers as a counting book is read. They then make a chain of links and write in vertical and horizontal format the differences suggested by adding and subtracting one link at a time from their chains. Finally, they draw a chain showing one link being taken away and write in two formats the difference it represents.
Standard(s): [MA2013] (0) 13: Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. [KNBT1] [MA2013] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [KMD3] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 17: Tell and write time in hours and halfhours using analog and digital clocks. [1MD3] [MA2013] (2) 20: Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. [2MD7]
Subject: Mathematics Title: Counting Back and Counting On
Description: This lesson, one of a multipart unit from Illuminations, focuses on the counting model for subtraction. Students model numbers as a counting book is read. They then make a chain of links and write in vertical and horizontal format the differences suggested by adding and subtracting one link at a time from their chains. Finally, they draw a chain showing one link being taken away and write in two formats the difference it represents. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Combining Foods
Description:
In this lesson, one of a multipart unit from Illuminations, students explore addition and comparison subtraction by modeling and recording related addition and subtraction facts for a given number. The students also investigate the commutative property and model fact families, including those in which one addend is zero and those in which the addends are alike.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2]
Subject: Health,Mathematics Title: Combining Foods
Description: In this lesson, one of a multipart unit from Illuminations, students explore addition and comparison subtraction by modeling and recording related addition and subtraction facts for a given number. The students also investigate the commutative property and model fact families, including those in which one addend is zero and those in which the addends are alike. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Investigating Greater Than, Less Than, and Equal To
Description:
Students are introduced to the concepts of greater than, less than, and equal to by observing quantities and making comparisons. Using varied instructional materials such as play dough, buttons, beans, and cotton balls, students will create amounts to compare with the use of a doublesided fish. Depending on its position, the fish cutout (with its mouth open) can represent either greater than or less than. For equivalent amounts, a clam cutout can represent equal to.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2]
Subject: Mathematics Title: Investigating Greater Than, Less Than, and Equal To
Description: Students are introduced to the concepts of greater than, less than, and equal to by observing quantities and making comparisons. Using varied instructional materials such as play dough, buttons, beans, and cotton balls, students will create amounts to compare with the use of a doublesided fish. Depending on its position, the fish cutout (with its mouth open) can represent either greater than or less than. For equivalent amounts, a clam cutout can represent equal to. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Building Sets of 13 and 14
Description:
In this lesson, one of a multipart unit from Illuminations, students explore sets of 13 and 14. They construct and identify sets of size 13 and size 14. They then compare sets to sets of size 13 and size 14, record the number in the sets, and decompose a set of 13 and a set of 14 in several ways.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9]
Subject: Mathematics Title: Building Sets of 13 and 14
Description: In this lesson, one of a multipart unit from Illuminations, students explore sets of 13 and 14. They construct and identify sets of size 13 and size 14. They then compare sets to sets of size 13 and size 14, record the number in the sets, and decompose a set of 13 and a set of 14 in several ways. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Do It With Dominoes
Description:
In this sixlesson unit from Illuminations, students explore the four models of addition (counting, sets, number line, and balanced equations) using dominoes. Students also learn about the order property, the relation between addition and subtraction, and the result of adding 0. Students engage in a variety of activities, including writing story problems in which the operation of addition is required, beginning to memorize addition facts, investigating properties of addition, and representing addition in pictures.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9]
Subject: Mathematics Title: Do It With Dominoes
Description: In this sixlesson unit from Illuminations, students explore the four models of addition (counting, sets, number line, and balanced equations) using dominoes. Students also learn about the order property, the relation between addition and subtraction, and the result of adding 0. Students engage in a variety of activities, including writing story problems in which the operation of addition is required, beginning to memorize addition facts, investigating properties of addition, and representing addition in pictures. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Comparing Sets
Description:
In this lesson, one of a multipart unit from Illuminations, a children s book sets the stage for encouraging students to review counting back. Students write subtraction problems and model them with cubes. They then compare sets and record differences in the form of a table. The additive identity is reviewed in the context of comparing equal sets. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2013] (0) 7: Compare two numbers between 1 and 10 presented as written numerals. [KCC7] [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 17: Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. [KG1] [MA2013] (0) 18: Correctly name shapes regardless of their orientations or overall size. [KG2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9]
Subject: Language Arts,Mathematics Title: Comparing Sets
Description: In this lesson, one of a multipart unit from Illuminations, a children s book sets the stage for encouraging students to review counting back. Students write subtraction problems and model them with cubes. They then compare sets and record differences in the form of a table. The additive identity is reviewed in the context of comparing equal sets. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Hopping Backward to Solve Problems
Description:
In this lesson, one of a multipart unit from Illuminations, students determine differences using the number line to compare lengths. At the end of the lesson, the students use reasoning and problemsolving to predict differences and answer puzzles involving subtraction.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1]
Subject: Mathematics Title: Hopping Backward to Solve Problems
Description: In this lesson, one of a multipart unit from Illuminations, students determine differences using the number line to compare lengths. At the end of the lesson, the students use reasoning and problemsolving to predict differences and answer puzzles involving subtraction. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Taking Away Sets
Description:
This lesson, one of a multipart unit from Illuminations, encourages students to explore another model for subtraction, the familiar set model. Reading one of the many books that feature subtraction sets the stage for this lesson in which the students write story problems, find differences using sets, and present results in a table. In the discussion of the table, they focus on the effects of subtracting all and subtracting 0.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5]
Subject: Mathematics Title: Taking Away Sets
Description: This lesson, one of a multipart unit from Illuminations, encourages students to explore another model for subtraction, the familiar set model. Reading one of the many books that feature subtraction sets the stage for this lesson in which the students write story problems, find differences using sets, and present results in a table. In the discussion of the table, they focus on the effects of subtracting all and subtracting 0. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Let's Learn Those Facts: Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students display their knowledge of properties of objects for sorting and creating patterns. They also demonstrate an understanding of commutativity and model addition and subtraction of whole numbers using different representations.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 11: For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. [KOA4] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 9: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2NBT5]
Subject: Mathematics Title: Let's Learn Those Facts: Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students display their knowledge of properties of objects for sorting and creating patterns. They also demonstrate an understanding of commutativity and model addition and subtraction of whole numbers using different representations. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Counting to Find Sums
Description:
This lesson, one of a multipart unit from Illuminations, focuses on the counting model for addition and begins with reading a counting book. Students model the numbers with counters as the book is read. Then they count the spots on each side of a domino and write in vertical and horizontal format the sums suggested by dominoes. Finally, the students illustrate a domino and record a sum it represents for their portfolio. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [ELA] (1) 4: Read with comprehension a variety of firstgrade narrative and informational texts, including recalling information and retelling a story with beginning, middle, and end. [ELA] (1) 12: Collect information from print and nonprint resources to investigate a teacher or
studentselected topic. [ELA] (1) 13: Listen for meaning in conversations and discussions, including looking at the speaker without interrupting. [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6]
Subject: Mathematics Title: Counting to Find Sums
Description: This lesson, one of a multipart unit from Illuminations, focuses on the counting model for addition and begins with reading a counting book. Students model the numbers with counters as the book is read. Then they count the spots on each side of a domino and write in vertical and horizontal format the sums suggested by dominoes. Finally, the students illustrate a domino and record a sum it represents for their portfolio. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Finding Sums to Six
Description:
In this lesson, one of a multipart unit from Illuminations, students discover the role of the additive identity and explore sums to six. They continue to fill in their personal addition chart.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6]
Subject: Mathematics Title: Finding Sums to Six
Description: In this lesson, one of a multipart unit from Illuminations, students discover the role of the additive identity and explore sums to six. They continue to fill in their personal addition chart. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Block Pounds
Description:
In this lesson, from Illuminations, students explore the use of variables as unknowns as they solve for the weights of objects using information presented in pictures. They also model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 11: For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. [KOA4] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 14: Subtract multiples of 10 in the range 1090 from multiples of 10 in the range 1090 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. [1NBT6] [MA2013] (2) 2: Fluently add and subtract within 20 using mental strategies. (See standard 6, Grade 1, for a list of mental strategies.) By end of Grade 2, know from memory all sums of two onedigit numbers. [2OA2] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 9: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2NBT5] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9]
Subject: Mathematics Title: Block Pounds
Description: In this lesson, from Illuminations, students explore the use of variables as unknowns as they solve for the weights of objects using information presented in pictures. They also model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Sum Search
Description:
In this lesson, one of a multipart unit from Illuminations, students practice addition facts in a concentrationgame format using dominoes. Then, they generate sums to given numbers using a calculator and record them on a hundred board and look for patterns. Later, they record their current level of additionfact mastery on an addition table.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5]
Subject: Mathematics Title: Sum Search
Description: In this lesson, one of a multipart unit from Illuminations, students practice addition facts in a concentrationgame format using dominoes. Then, they generate sums to given numbers using a calculator and record them on a hundred board and look for patterns. Later, they record their current level of additionfact mastery on an addition table. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Lost Buttons
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In this lesson, one of a multipart unit from Illuminations, students investigate subtraction more directly, beginning with the easier take away mode. They model take away subtraction with buttons and write subtraction sentences. They also work with the additive identity (0) as an addend and as a difference and find missing addends.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (2) 9: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. [2NBT5] [MA2013] (2) 11: Add and subtract within 1000 using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting threedigit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds. [2NBT7] [MA2013] (2) 18: Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. [2MD5]
Subject: Language Arts,Mathematics Title: Lost Buttons
Description: In this lesson, one of a multipart unit from Illuminations, students investigate subtraction more directly, beginning with the easier take away mode. They model take away subtraction with buttons and write subtraction sentences. They also work with the additive identity (0) as an addend and as a difference and find missing addends. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Comparing Connecting Cubes
Description:
In this sevenlesson unit from Illuminations, students use connecting cubes to explore the five models of subtraction (counting, sets, number line, balanced equations, and inverse of addition). The lessons focus on the comparative mode of subtraction. Students explore the relationship between addition and subtraction, write story problems in which comparison is required, and practice the subtraction facts. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1]
Subject: Mathematics Title: Comparing Connecting Cubes
Description: In this sevenlesson unit from Illuminations, students use connecting cubes to explore the five models of subtraction (counting, sets, number line, balanced equations, and inverse of addition). The lessons focus on the comparative mode of subtraction. Students explore the relationship between addition and subtraction, write story problems in which comparison is required, and practice the subtraction facts. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Where Will I Land?
Description:
In this lesson, one of a multipart unit from Illuminations, students find differences using the number line, a continuous model for subtraction. Students are encouraged to predict differences and to compose puzzles involving subtraction. This lesson provides rich experiences in reasoning and problem solving.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 13: Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by drawings or objects.) [2NBT9]
Subject: Mathematics Title: Where Will I Land?
Description: In this lesson, one of a multipart unit from Illuminations, students find differences using the number line, a continuous model for subtraction. Students are encouraged to predict differences and to compose puzzles involving subtraction. This lesson provides rich experiences in reasoning and problem solving. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Addend Pairs to 12
Description:
In this lesson, one of a multipart unit from Illuminations, students explore pairs of numbers that add to 12 or less by playing a game. They then add to their personal addition chart and prepare a new chart that allows access to the facts they do not know.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6]
Subject: Mathematics Title: Addend Pairs to 12
Description: In this lesson, one of a multipart unit from Illuminations, students explore pairs of numbers that add to 12 or less by playing a game. They then add to their personal addition chart and prepare a new chart that allows access to the facts they do not know. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Finding the Balance
Description:
In this lesson, one of a multipart unit from Illuminations, students explore another model of subtraction, the balance. Students also explore recording the modeled subtraction facts and the related addition facts in equation form.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7]
Subject: Mathematics Title: Finding the Balance
Description: In this lesson, one of a multipart unit from Illuminations, students explore another model of subtraction, the balance. Students also explore recording the modeled subtraction facts and the related addition facts in equation form. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Fact Family Fun
Description:
In this lesson, one of a multipart unit from Illuminations, the relation of addition to subtraction is explored with fishshaped crackers. The students search for related addition and subtraction facts for a given number and investigate fact families when one addend or the difference is 0.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 11: For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. [KOA4] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. [1OA8] [MA2013] (2) 2: Fluently add and subtract within 20 using mental strategies. (See standard 6, Grade 1, for a list of mental strategies.) By end of Grade 2, know from memory all sums of two onedigit numbers. [2OA2]
Subject: Mathematics Title: Fact Family Fun
Description: In this lesson, one of a multipart unit from Illuminations, the relation of addition to subtraction is explored with fishshaped crackers. The students search for related addition and subtraction facts for a given number and investigate fact families when one addend or the difference is 0. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Links Away: Looking Back and Moving Forward
Description:
This lesson, one of a multipart unit from Illuminations, reviews the work of the previous lessons and suggests a framework for summative assessment. Students review the models for subtraction, use the properties of subtraction, and memorize subtraction facts. During this lesson, students use the mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge to playing a new game.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 2: Fluently add and subtract within 20 using mental strategies. (See standard 6, Grade 1, for a list of mental strategies.) By end of Grade 2, know from memory all sums of two onedigit numbers. [2OA2]
Subject: Mathematics Title: Links Away: Looking Back and Moving Forward
Description: This lesson, one of a multipart unit from Illuminations, reviews the work of the previous lessons and suggests a framework for summative assessment. Students review the models for subtraction, use the properties of subtraction, and memorize subtraction facts. During this lesson, students use the mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and ability to apply that knowledge to playing a new game. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Zero Our Hero
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In this lesson, one of a multipart unit from Illuminations, students explore sets of zero items and practice writing the numbers 0 through 5. Students count back from five, identify sets of up to five items, and record 0 on a chart. They also construct sets of up to five items.
Standard(s): [MA2013] (0) 2: Count forward beginning from a given number within the known sequence (instead of having to begin at 1). [KCC2] [MA2013] (0) 3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 020 (with 0 representing a count of no objects). [KCC3] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1]
Subject: Mathematics Title: Zero Our Hero
Description: In this lesson, one of a multipart unit from Illuminations, students explore sets of zero items and practice writing the numbers 0 through 5. Students count back from five, identify sets of up to five items, and record 0 on a chart. They also construct sets of up to five items. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Take Away
Description:
This lesson, from Illuminations, helps introduce elementary students to subtraction. The objective is to create a link between students experiences and mathematics. By the end of the lesson, it is expected that students should have a deep understanding of subtraction and how it relates to their world.
Standard(s): [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1]
Subject: Mathematics Title: Take Away
Description: This lesson, from Illuminations, helps introduce elementary students to subtraction. The objective is to create a link between students experiences and mathematics. By the end of the lesson, it is expected that students should have a deep understanding of subtraction and how it relates to their world. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: What Balances?
Description:
In this lesson, one of a multipart unit from Illuminations, students explore subtraction using a pan balance. They use subtraction facts to generate related addition facts and explore at the concrete level the idea of subtraction as the inverse of addition.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5]
Subject: Mathematics Title: What Balances?
Description: In this lesson, one of a multipart unit from Illuminations, students explore subtraction using a pan balance. They use subtraction facts to generate related addition facts and explore at the concrete level the idea of subtraction as the inverse of addition. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Shirts Full of Buttons
Description:
In this lesson, one of a multipart unit from Illuminations, students explore subtraction in the comparative mode by answering questions such as How many more? and How many less? as they match sets of buttons. They also make and discuss bar graphs based on the number of buttons they are wearing.
Standard(s): [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 16: Classify objects into given categories; count the number of objects in each category, and sort the categories by count. (Limit category counts to be less than or equal to 10.) [KMD3] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 18: Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another. [1MD4] [MA2013] (2) 23: Draw a picture graph and a bar graph (with singleunit scale) to represent a data set with up to four categories. Solve simple puttogether, takeapart, and compare problems using information presented in a bar graph. (See Appendix A, Table 1.) [2MD10]
Subject: Mathematics Title: Shirts Full of Buttons
Description: In this lesson, one of a multipart unit from Illuminations, students explore subtraction in the comparative mode by answering questions such as How many more? and How many less? as they match sets of buttons. They also make and discuss bar graphs based on the number of buttons they are wearing. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: How Many More Fish? Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students use the mathematical knowledge and skills developed in the previous lessons as they play games involving comparative subtraction.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 21: Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. [2MD8]
Subject: Mathematics Title: How Many More Fish? Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students use the mathematical knowledge and skills developed in the previous lessons as they play games involving comparative subtraction. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Fact Families
Description:
In this lesson, one of a multipart unit from Illuminations, students use books and connecting cubes to explore the relationship of addition to subtraction. Students search for related addition and subtraction facts for a given number using a virtual or actual calculator to find differences. They also investigate fact families when one addend is 0 as well as when the addends are the same. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. [1OA8]
Subject: Language Arts,Mathematics Title: Fact Families
Description: In this lesson, one of a multipart unit from Illuminations, students use books and connecting cubes to explore the relationship of addition to subtraction. Students search for related addition and subtraction facts for a given number using a virtual or actual calculator to find differences. They also investigate fact families when one addend is 0 as well as when the addends are the same. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Who's in the Fact Family?
Description:
In this lesson, one of a multipart unit from Illuminations, students explore the relation of addition to subtraction. Students use problemsolving skills to find fact families, including those in which one addend is zero or in which the addends are alike.
Standard(s): [MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (0) 13: Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. [KNBT1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3] [MA2013] (1) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [MA2013] (1) 8: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. [1OA8]
Subject: Mathematics Title: Who's in the Fact Family?
Description: In this lesson, one of a multipart unit from Illuminations, students explore the relation of addition to subtraction. Students use problemsolving skills to find fact families, including those in which one addend is zero or in which the addends are alike. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: 3.2.1 BEE done
Digital Tool:
abcya.com Web Address URL:
http://www.abcya.com/subtraction_game.htm Standard(s):
[MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] Digital Tool Description: ABCya.com is a free, educational site equipped with activities and computer games for elementary students to learn on the web. All of the computer activities were created and/or approved by certified school teachers. All of the educational games are free and are also modeled from primary grade lessons and enhanced to provide an interactive way for students to learn.
Title: 3.2.1 BEE done Digital Tool: abcya.com Digital Tool Description: ABCya.com is a free, educational site equipped with activities and computer games for elementary students to learn on the web. All of the computer activities were created and/or approved by certified school teachers. All of the educational games are free and are also modeled from primary grade lessons and enhanced to provide an interactive way for students to learn.
ALEX Podcasts
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Title: Let's Make Ten
Overview:
In this activity, students practice determining different ways to make 10. They work together as partners and roll dice to determine the numbers they work with. They have to evaluate their numbers rolled to find a way to make a total of 10. They color in their bars to represent the numbers they rolled. A number sentence is composed and then they move on to the next roll. Once the activity is complete, a whole group discussion takes place and all the combinations that the students found are listed on the board. Standard(s):
[MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 4: Understand subtraction as an unknownaddend problem. [1OA4] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6]
Let's Make Ten Overview: In this activity, students practice determining different ways to make 10. They work together as partners and roll dice to determine the numbers they work with. They have to evaluate their numbers rolled to find a way to make a total of 10. They color in their bars to represent the numbers they rolled. A number sentence is composed and then they move on to the next roll. Once the activity is complete, a whole group discussion takes place and all the combinations that the students found are listed on the board.
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Title: Calendar Math
Overview:
In this podcast our class will demonstrate how we use calendar math each day. We discussed the days of the week. We graphed the daily, monthly and yearly weather. We used the 100's chart to practice skip counting and even and odd numbers. We used straws to count the days of school, grouping ones, tens and one hundreds. Standard(s):
[MA2013] (0) 4: Understand the relationship between numbers and quantities; connect counting to cardinality. [KCC4] [MA2013] (0) 5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 120, count out that many objects. [KCC5] [MA2013] (0) 6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. (Include groups with up to ten objects.) [KCC6] [MA2013] (0) 7: Compare two numbers between 1 and 10 presented as written numerals. [KCC7] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5] [MA2013] (1) 9: Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. [1NBT1] [MA2013] (1) 17: Tell and write time in hours and halfhours using analog and digital clocks. [1MD3]
Calendar Math Overview: In this podcast our class will demonstrate how we use calendar math each day. We discussed the days of the week. We graphed the daily, monthly and yearly weather. We used the 100's chart to practice skip counting and even and odd numbers. We used straws to count the days of school, grouping ones, tens and one hundreds.
Web Resources
Lesson Plans
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Title: Learning Addition and Subtraction
Description:
Lessons and videos on addition and subtraction.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4]
Learning Addition and Subtraction
http://www.gcflearnf...
Lessons and videos on addition and subtraction.
Podcasts
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Title: Learning Addition and Subtraction
Description:
Lessons and videos on addition and subtraction.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6] [MA2013] (1) 12: Add within 100, including adding a twodigit number and a onedigit number and adding a twodigit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used. Understand that in adding twodigit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten. [1NBT4]
Learning Addition and Subtraction
http://www.gcflearnf...
Lessons and videos on addition and subtraction.
Interactives/Games
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Title: Fun Math Games for Kids
Description:
Students can learn many different games to reinforce math skills.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1]
Fun Math Games for Kids
http://funschool.kab...
Students can learn many different games to reinforce math skills.
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Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 11: Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. [1NBT3] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 5: Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: [2NBT1] [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5] [MA2013] (3) 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. [3OA7] [MA2013] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction ^{a}/_{b} as the quantity formed by a parts and size ^{1}/_{b}. [3NF1] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Learning Activities
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Title: Math: Addition and Subtraction
Description:
This is a lesson plan for helping students develop an awareness of addition and subtraction.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 9: Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. [KOA2] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 6: Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows
12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13). [1OA6]
Math: Addition and Subtraction
https://college.live...
This is a lesson plan for helping students develop an awareness of addition and subtraction.
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Title: Sensational Subtraction Centers
Description:
This is a resource list for manipulative based centers that allow students to model and illustrate subtraction using numbers less than ten.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (0) 12: Fluently add and subtract within 5. [KOA5] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 3: Apply properties of operations as strategies to add and subtract. (Students need not use formal terms for these properties.) [1OA3]
Sensational Subtraction Centers
http://www.uen.org/L...
This is a resource list for manipulative based centers that allow students to model and illustrate subtraction using numbers less than ten.
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Title: Math Word Problems (Kidzone)
Description:
The word problems on this page are listed by grade and, within each grade, by theme.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (3) 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 2.) [3OA3] [MA2013] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Math Word Problems (Kidzone)
http://www.kidzone.w...
The word problems on this page are listed by grade and, within each grade, by theme.
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Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 11: Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. [1NBT3] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 5: Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: [2NBT1] [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5] [MA2013] (3) 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. [3OA7] [MA2013] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction ^{a}/_{b} as the quantity formed by a parts and size ^{1}/_{b}. [3NF1] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Teacher Tools
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Title: Fun Math Games for Kids
Description:
Students can learn many different games to reinforce math skills.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1]
Fun Math Games for Kids
http://funschool.kab...
Students can learn many different games to reinforce math skills.
Save to ALEX 
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Show Details
Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (1) 2: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. [1OA2] [MA2013] (1) 11: Compare two twodigit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <. [1NBT3] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (2) 3: Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends. [2OA3] [MA2013] (2) 5: Understand that the three digits of a threedigit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: [2NBT1] [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5] [MA2013] (3) 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. [3OA7] [MA2013] (3) 13: Understand a fraction ^{1}/_{b} as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction ^{a}/_{b} as the quantity formed by a parts and size ^{1}/_{b}. [3NF1] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Thinkfinity Learning Activities
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Title: Electronic Abacus
Description:
This student interactive, from Illuminations, explores the use of an abacus model for representing numbers and for performing addition. Students can work through several different activities, all of which explore addition.
Standard(s): [MA2013] (0) 8: Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. (Drawings need not show details, but should show the mathematics in the problem. This applies wherever drawings are mentioned in the Standards.) [KOA1] [MA2013] (1) 1: Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [1OA1] [MA2013] (2) 1: Use addition and subtraction within 100 to solve one and twostep word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 1.) [2OA1] [MA2013] (3) 11: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. [3NBT2]
Subject: Mathematics Title: Electronic Abacus
Description: This student interactive, from Illuminations, explores the use of an abacus model for representing numbers and for performing addition. Students can work through several different activities, all of which explore addition. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5

