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:

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.4 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.

K.MD.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

Student "I Can" Statements:

I can take apart numbers less than or equal to 10.

I can find the number that is added to 1 through 9 to make 10. I can use objects or drawings to show my answer.

I can place objects into categories.

I can count the number of objects in categories.

I can sort the categories by the number of objects.

Prerequisite Standards:

K.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

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.5Fluently add and subtract within 5.

Big Ideas: Equivalence Any number, measure, numerical expression, algebraic expression, or equation can be represented in an infinite number of ways that have the same value.

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

Basic Facts and Algorithms There is more than one algorithm for each of the operations with rational numbers. Some strategies for basic facts and most algorithms for operations with rational numbers, both mental math and paper and pencil, use equivalence to transform calculations into simpler ones.

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

Essential Questions:

How can decomposing numbers in more than one way help you learn about addition and subtraction?

Students will know...

Numbers can be broken up in many ways. An addition equation can show how a number is broken into two parts.

Addition and subtraction facts have an inverse relationship. Equations using +, -, and = can be used to show parts of a whole.

Mathematicians know how to think about words and numbers to solve problems.

Addition and subtraction facts can be solved using different strategies.

Numbers can be broken apart in many ways. An addition equation can show how a number is broken into two parts.

Objects, drawings, counting, and equations can be used to help solve addition problems involving unknown addends.

For any number from 1-9 there is another number to make 10.

## Topic Eight: More Addition & Subtraction

## 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: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.4For 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.K.MD.3Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.Student "I Can" Statements:Prerequisite Standards:K.OA.1Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.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.5Fluently add and subtract within 5.Big Ideas:EquivalenceAny number, measure, numerical expression, algebraic expression, or equation can be represented in an infinite number of ways that have the same value.

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

Basic Facts and AlgorithmsThere is more than one algorithm for each of the operations with rational numbers. Some strategies for basic facts and most algorithms for operations with rational numbers, both mental math and paper and pencil, use equivalence to transform calculations into simpler ones.

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

Essential Questions:Students will know...Vocabulary:break apart, operation

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

Performance Assessment:Other Evidence:Formative Assessment:## Learning Plan

Learning Activities:8-1 Decompose and Represent Numbers to 5:Write equations to show the parts of numbers to 5.8-2 Related Facts:Solve related addition and subtraction equations8-3 Math Practices and Problem Solving:Reasoning: Reason about numbers and operations8-4 Fluently Add and Subtract to 5:Write addition and subtraction equations within 5 and remember them.8-5 Decompose and Represent Numbers 6 and 7:Write equations to show the parts of 6 and 78-6 Decompose and Represent Numbers 8 and 9:Write equations to show the parts of 8 and 98-7 Decompose and Represent 10:Write equations to show the parts of 108-8 Solve Word Problems: Both Addends Unknown:Write an addition equation to solve a word problem8-9 Find the Missing Parts of 10:Find number partners for 108-10 Continue to Find the Missing Parts of 10:Find a missing part to make 10Resources:Problem of the month:Centers:SmartBoard Activities/Games: