Transfer: 1. Makes sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically.
6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

Established Goals:

1.OA.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.

1.OA.3 Apply properties of operations as strategies to add and subtract.[1]Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known.(Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

1.OA.4 Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.

1.OA.5 Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

1.OA.6 Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use mental 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).

Student "I Can" Statements":

I can use strategies to solve addition word problems.

I can use strategies to solve subtraction word problems.

I can use the commutative property of addition.

I can use the associative property of addition.

I can use an addition fact to help me solve a subtraction problem.

I can count to help me add and subtract.

I can add facts within 20.

I can subtract facts within 20.

Prerequisite Standards:

K.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

K.OA.3 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).

K.OA.5 Fluently add and subtract within 5.

1.OA.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.

Big Ideas:

Comparisons and Relationships
Numbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in different ways.

Basic Facts
Some strategies for basic facts use equivalence to transform calculations into simpler ones.

Operation Meanings & Relationships There are multiple interpretations of addition, subtraction, multiplication, and division of rational numbers and each operation is related to other operations.

Practices, Processes, and Proficiencies Mathematics content and practices can be applied to solve problems

Essential Questions:

What strategies can be used to find addition and subtraction facts?

Students will know...

The number relationships of 0, 1 more than, and 2 more than are the basis for addition facts with a 0, 1, and 2.

The number relationships of 0 is less than, 1 less than, and 2 less than are the basis for subtraction facts with a 0, 1 and 2.

Doubles facts can be associated with memorable real-world situations.

Basic addition facts that are near doubles can be found using a related doubles fact.

Facts with the sums 6 through 10 can be broken into 5 plus some more.

Ten can be shown in two parts in different ways and represented using addition number sentences.

Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact.

Information in a problem can often be shown using a picture or diagram and can be used to understand and solve the problem. Some problems can be solved by writing and completing a number sentence or equation.

Vocabulary: near double, 2 less than, 1 less than, 0 less than

Counting on to add, starting with the greater number.

Recognizing doubles as a strategy for remembering sums.

Using doubles facts to learn near doubles facts.

Using a ten-frame to write addition facts with 5.

Using two ten-frames to model addition facts.

Mastering concepts of 0 less than, 1 less than, and 2 less than when subtracting 0, 1, or 2.

Learning to use doubles addition facts to master related subtraction facts.

Understanding how addition facts to 8 relate to subtraction facts to 8.

Writing related addition and subtraction facts to 12.

Drawing pictures to solve addition story problems.

Assessment Evidence

Performance Assessment:

Other Evidence:

Learning Plan

Learning Activities:

4-1 The number relationships of 0, 1 more than, and 2 more than are the basis for addition facts with a 0, 1, and 2. 4-2 Doubles facts can be associated with memorable real-world situations. 4-3 Basic addition facts that are near doubles can be found using a related doubles fact. 4-4 Facts with the sums 6 through 10 can be broken into 5 plus some more. 4-5 Ten can be shown in two parts in different ways and represented using addition number sentences. 4-6 The number relationships of 0 is less than, 1 less than, and 2 less than are the basis for subtraction facts with a 0, 1 and 2. 4-7 Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact. 4-8 Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact. 4-9 Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact. 4-10 Information in a problem can often be shown using a picture or diagram and can be used to understand and solve the problem. Some problems can be solved by writing and completing a number sentence or equation.

## Topic Four: Addition and Subtraction Facts to 12

Pacing (Duration of Unit):## Desired Results

Transfer:1. Makes sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.6. Attend to precision.

7. Look for and make use of structure.8. Look for and express regularity in repeated reasoning.

Established Goals:1.OA.1Use 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.1.OA.3Apply properties of operations as strategies to add and subtract.[1]Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known.(Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)1.OA.4Understand subtraction as an unknown-addend problem.For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.1.OA.5Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).1.OA.6Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use mental 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).Student "I Can" Statements":Prerequisite Standards:K.OA.2Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.K.OA.3Decompose 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).K.OA.5Fluently add and subtract within 5.1.OA.1Use 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.Big Ideas:Comparisons and RelationshipsNumbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in different ways.

Basic FactsSome strategies for basic facts use equivalence to transform calculations into simpler ones.

Operation Meanings & RelationshipsThere are multiple interpretations of addition, subtraction, multiplication, and division of rational numbers and each operation is related to other operations.

Practices, Processes, and ProficienciesMathematics content and practices can be applied to solve problems

Essential Questions:Students will know...near double, 2 less than, 1 less than, 0 less thanVocabulary:Topic 4 Vocab Cards

Students will be skilled at...## Assessment Evidence

Performance Assessment:Other Evidence:## Learning Plan

Learning Activities:4-1The number relationships of 0, 1 more than, and 2 more than are the basis for addition facts with a 0, 1, and 2.4-2Doubles facts can be associated with memorable real-world situations.4-3Basic addition facts that are near doubles can be found using a related doubles fact.4-4Facts with the sums 6 through 10 can be broken into 5 plus some more.4-5Ten can be shown in two parts in different ways and represented using addition number sentences.4-6The number relationships of 0 is less than, 1 less than, and 2 less than are the basis for subtraction facts with a 0, 1 and 2.4-7Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact.4-8Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact.4-9Addition and subtraction have an inverse relationship. The inverse relationship between addition and subtraction can be used to find subtraction facts; every subtraction fact has a related addition fact.4-10Information in a problem can often be shown using a picture or diagram and can be used to understand and solve the problem. Some problems can be solved by writing and completing a number sentence or equation.Resources:Problem of the Month:Centers:SmartBoard Activities/Games: