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Title: Roll an Array
Description:
This lesson presents a handson partner activity to introduce second graders to making rectangular arrays. Students will use number dice to roll numbers and then build the coordinating array. An equation will be written to show the sum of the equal addends.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [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]
Subject: Mathematics (2)
Title: Roll an Array
Description: This lesson presents a handson partner activity to introduce second graders to making rectangular arrays. Students will use number dice to roll numbers and then build the coordinating array. An equation will be written to show the sum of the equal addends.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Peep Peep
Description:
Students will take a virtual tour of a Peep Candy factory.
Students will observe the way Peeps are packed in rectangle shaped arrays, 2 rows of 5.
Standard(s): [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]
Subject: Mathematics (2)
Title: Peep Peep
Description: Students will take a virtual tour of a Peep Candy factory.
Students will observe the way Peeps are packed in rectangle shaped arrays, 2 rows of 5.
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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: 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: Double Your Flavor
Description:
As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.
Standard(s): [TC2] (02) 7: Use digital tools to access and retrieve information. [TC2] (02) 2: Identify applications and operations of various technology systems. [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] (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) 12: Multiply onedigit whole numbers by multiples of 10 in the range 10  90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. [3NBT3]
Subject: Mathematics (2  3), or Technology Education (K  2)
Title: Double Your Flavor
Description: As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.
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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.
Thinkfinity Lesson Plans
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Title: Powerful Patterns: Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students are provided with buttons or pasta and are asked to make a pattern that is then described to the class. Students complete a table illustrating a growing pattern that can be predicted.
Standard(s): [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]
Subject: Mathematics Title: Powerful Patterns: Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students are provided with buttons or pasta and are asked to make a pattern that is then described to the class. Students complete a table illustrating a growing pattern that can be predicted. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
Thinkfinity Learning Activities
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Title: Concentration
Description:
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
Standard(s): [MA2013] (1) 21: Partition circles and rectangles into two and four equal shares; describe the shares using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares. [1G3] [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) 26: Partition circles and rectangles into two, three, or four equal shares; describe the shares using the words halves, thirds, half of, a third of, etc.; and describe the whole as two halves, three thirds, or four fourths. Recognize that equal shares of identical wholes need not have the same shape. [2G3] [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) 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] (3) 4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [3OA4] [MA2013] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9] [MA2013] (3) 14: Understand a fraction as a number on the number line; represent fractions on a number line diagram. [3NF2] [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3] [MA2013] (3) 24: Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. [3G1] [MA2013] (3) 25: Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. [3G2] [MA2013] (4) 18: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. [4NF7] [MA2013] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4MD2] [MA2013] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4MD5]
Subject: Mathematics Title: Concentration
Description: This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5
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Title: Times Table
Description:
This student interactive, from an Illuminations lesson, allows students to practice multiplying numbers.
Standard(s): [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] (3) 4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [3OA4]
Subject: Mathematics Title: Times Table
Description: This student interactive, from an Illuminations lesson, allows students to practice multiplying numbers. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5

