ALEX Lesson Plans
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Title: Fishy Addition!
Description:
In this lesson, students will use manipulatives to act out and solve simple addition problems.
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] (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] (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) 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] (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]
Subject: Mathematics (K)
Title: Fishy Addition!
Description: In this lesson, students will use manipulatives to act out and solve simple addition problems.
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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: Comparing Connecting Cubes: 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 use the mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and the ability to apply that knowledge to playing subtraction games.
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) 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]
Subject: Mathematics Title: Comparing Connecting Cubes: 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 use the mathematical knowledge and skills developed in the previous lessons to demonstrate understanding and the ability to apply that knowledge to playing subtraction games. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Building Sets of Ten
Description:
In this lesson, one of a multipart unit from Illuminations, students explore sets of up to 10 items and practice writing the numbers 0 through 10. Students count back from 10, identify sets of up to 10 objects, and record 10 on a chart. They also construct and decompose sets of up to 10 items. This lesson provides opportunities for reasoning and communication.
Standard(s): [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) 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) 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) 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]
Subject: Mathematics Title: Building Sets of Ten
Description: In this lesson, one of a multipart unit from Illuminations, students explore sets of up to 10 items and practice writing the numbers 0 through 10. Students count back from 10, identify sets of up to 10 objects, and record 10 on a chart. They also construct and decompose sets of up to 10 items. This lesson provides opportunities for reasoning and communication. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Let's Count to 10
Description:
In this eightlesson unit from Illuminations, students make groups of zero to ten objects, connect number names to the groups, compose and decompose numbers, and use numerals to record the size of a group. Visual, auditory, and kinesthetic activities are included in each lesson. The unit is most appropriate for students learning at the kindergarten and grade one levels.
Standard(s): [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) 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) 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]
Subject: Mathematics Title: Let's Count to 10
Description: In this eightlesson unit from Illuminations, students make groups of zero to ten objects, connect number names to the groups, compose and decompose numbers, and use numerals to record the size of a group. Visual, auditory, and kinesthetic activities are included in each lesson. The unit is most appropriate for students learning at the kindergarten and grade one levels. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Let's Count to 5
Description:
In this sevenlesson unit, from Illuminations, students make groups of zero through five objects and connect number words to the groups. They use numerals to record the size of a group. Familiar nursery rhymes and songs and visual, auditory and kinesthetic activities are included in each lesson. The unit is most appropriate for students learning at the prekindergarten and kindergarten levels.
Standard(s): [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) 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) 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]
Subject: Mathematics Title: Let's Count to 5
Description: In this sevenlesson unit, from Illuminations, students make groups of zero through five objects and connect number words to the groups. They use numerals to record the size of a group. Familiar nursery rhymes and songs and visual, auditory and kinesthetic activities are included in each lesson. The unit is most appropriate for students learning at the prekindergarten and kindergarten levels. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Numbers Many Ways
Description:
In this lesson, one of a multipart unit from Illuminations, students work with subtraction at the intuitive level as they explore number families and ways to decompose numbers to 10. They also identify members of fact families.
Standard(s): [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] (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] (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: Numbers Many Ways
Description: In this lesson, one of a multipart unit from Illuminations, students work with subtraction at the intuitive level as they explore number families and ways to decompose numbers to 10. They also identify members of fact families. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Try for Five
Description:
In this lesson, one of a multipart unit from Illuminations, students explore the many ways to decompose numbers and then build on their knowledge of addition and subtraction to find missing addends. They also visit a Web site related to the food pyramid.
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) 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] (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] (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: Health,Mathematics Title: Try for Five
Description: In this lesson, one of a multipart unit from Illuminations, students explore the many ways to decompose numbers and then build on their knowledge of addition and subtraction to find missing addends. They also visit a Web site related to the food pyramid. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Begin with Buttons: Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students review the work of the previous lessons through a variety of activity stations, one of which involves using an interactive Web site. Students model with buttons and record addition and subtraction.
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] (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] (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) 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] (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) 5: Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). [1OA5]
Subject: Mathematics Title: Begin with Buttons: Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students review the work of the previous lessons through a variety of activity stations, one of which involves using an interactive Web site. Students model with buttons and record addition and subtraction. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
ALEX Podcasts
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Title: Toss the chips
Overview:
Toss the chips is a math activity to by played by students (alone or with partners). They are to decompose numbers in different ways, use numbers to record how many, and develop and analyze visual images for quantities up to 10. Few materials are needed. The activity provides a visual for the students to create oral and eventually written number sentences.
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) 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) 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]
Toss the chips Overview: Toss the chips is a math activity to by played by students (alone or with partners). They are to decompose numbers in different ways, use numbers to record how many, and develop and analyze visual images for quantities up to 10. Few materials are needed. The activity provides a visual for the students to create oral and eventually written number sentences.

