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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: Camp Add 'Em Up III
Description:
Camp Add 'Em Up is a series of lessons for first grade students. Students will use prior knowledge of friendly numbers (two number combinations that make a "10") and "adding on" as they master the ability to add three numbers. In this lesson, students will use manipulatives as they explore adding numbers to make sums up to 20. The Hundreds chart handout used in this lesson has English and Spanish number words which will accommodate students who wish to explore a second language or to aid Spanish ELL students.
Standard(s): [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: Camp Add 'Em Up III
Description: Camp Add 'Em Up is a series of lessons for first grade students. Students will use prior knowledge of friendly numbers (two number combinations that make a "10") and "adding on" as they master the ability to add three numbers. In this lesson, students will use manipulatives as they explore adding numbers to make sums up to 20. The Hundreds chart handout used in this lesson has English and Spanish number words which will accommodate students who wish to explore a second language or to aid Spanish ELL students.
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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): [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] [SS2010] LWT2 (2) 7: Explain production and distribution processes.
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: "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] [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 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.
Thinkfinity Lesson Plans
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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: 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: Calculating Patterns
Description:
In this lesson, one of a multipart unit from Illuminations, students use an Internetbased calculator that is linked with an interactive Hundred Chart to create, extend, and record numerical patterns in different ways. By connecting the two representations, students observe the numerical patterns as they are created.
Standard(s): [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) 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: Calculating Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students use an Internetbased calculator that is linked with an interactive Hundred Chart to create, extend, and record numerical patterns in different ways. By connecting the two representations, students observe the numerical patterns as they are created. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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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.
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: 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: Giant Story Problems: Reading Comprehension through Math ProblemSolving
Description:
Students create posters using images, text, and mathematical equations to represent a story problem.
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) 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) 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] [ELA2013] (1) 29: Participate in shared research and writing projects (e.g., explore a number of "howto" books on a given topic and use them to write a sequence of instructions). [W.1.7] [ELA2013] (2) 27: Participate in shared research and writing projects (e.g., read a number of books on a single topic to produce a report; record science observations). [W.2.7]
Subject: Language Arts Title: Giant Story Problems: Reading Comprehension through Math ProblemSolving
Description: Students create posters using images, text, and mathematical equations to represent a story problem. Thinkfinity Partner: ReadWriteThink Grade Span: 1,2
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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: 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: 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: 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
Web Resources
Interactives/Games
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Title: BrainNook
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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 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: 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: Illuminations Activities
Description:
This Web page, from Illuminations, allows users to access all of Illuminations' online, interactive activities. The activities span the grades and encompass all areas of mathematics.
Standard(s): [MA2013] (0) 1: Count to 100 by ones and by tens. [KCC1] [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) 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) 7: Compare two numbers between 1 and 10 presented as written numerals. [KCC7] [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) 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) 15: Directly compare two objects, with a measurable attribute in common, to see which object has "more of" or "less of" the attribute, and describe the difference. [KMD2] [MA2013] (0) 19: Identify shapes as twodimensional (lying in a plane, "flat") or threedimensional ("solid"). [KG3] [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) 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) 7: Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. [1OA7] [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] (1) 20: Compose twodimensional shapes (rectangles, squares, trapezoids, triangles, halfcircles, and quartercircles) or threedimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names such as "right rectangular prism.") [1G2] [MA2013] (2) 14: Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. [2MD1]
Subject: Mathematics Title: Illuminations Activities
Description: This Web page, from Illuminations, allows users to access all of Illuminations' online, interactive activities. The activities span the grades and encompass all areas of mathematics. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12

