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.CC.2: Count forward beginning from a given number within the known sequence (instead of having to begin at 1).

K.CC.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.

K.CC.7: Compare two numbers between 1 and 10 presented as written numerals.

Student "I Can" Statements:

I can count forward starting at a given number.

I can tell if a group of objects in one group is greater than, less than, or equal to a group of objects in another group.

I can compare two written numbers between 1 and 10.

Prerequisite Standards:

K.CC.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.

Big Ideas:

Number Uses, Classification, and Representation
Numbers can be used for different purposes, and numbers can be classified and represented in different ways.

Numbers and the Number Line The set of real numbers is infinite and ordered. Whole numbers, integers, and fractions are real numbers. Each real number can be associated with a unique point on the number line.

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

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

Essential Questions:

*How can numbers 0 to 10 be compared and ordered?

Students will know...

When comparing two groups, the group with more objects is greater in number than the other. The group with fewer objects is less in number than the other.

In a pair of number, the number that tells more is greater. The number that tells less is fewer.

Two groups can be compared by counting the number of objects in each group and finding the position of each number within the counting sequence.

Two numbers can be compared by finding the position of each number within the counting sequence.

There is a specific order to the set of whole numbers.

Strong mathematicians look for things that repeat in a problem. They use what they learn from one problem to help them solve another problem.

Vocabulary:

No NEW vocabulary

Students will be skilled at...
*Comparing groups of up to 10 numbers
*Comparing groups of numbers by counting
*Comparing two numbers
*Using repeated reasoning to solve problems

## Topic Four: Compare Numbers 0 to 10

## 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.CC.2:Count forward beginning from a given number within the known sequence (instead of having to begin at 1).K.CC.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.K.CC.7:Compare two numbers between 1 and 10 presented as written numerals.Student "I Can" Statements:Prerequisite Standards:K.CC.6Identify 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.Big Ideas:Number Uses, Classification, and RepresentationNumbers can be used for different purposes, and numbers can be classified and represented in different ways.

Numbers and the Number LineThe set of real numbers is infinite and ordered. Whole numbers, integers, and fractions are real numbers. Each real number can be associated with a unique point on the number line.

Comparison and RelationshipsNumbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in different ways.

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

Essential Questions:*How can numbers 0 to 10 be compared and ordered?

Students will know...Vocabulary:No NEW vocabulary

Students will be skilled at...*Comparing groups of up to 10 numbers

*Comparing groups of numbers by counting

*Comparing two numbers

*Using repeated reasoning to solve problems

## Assessment Evidence

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

Learning Activities:4-1 Compare Groups to 10:Compare groups of up to 10 numbers4-2 Compare Numbers using Numerals to 10: Compare groups of numbers using numerals to 104-3 Compare Groups to 10 by Counting: Compare groups of numbers by counting.4-4 Compare Numbers to 10: Compare two numbers4-5 Count Numbers to 10: Count groups of numbers to 104-6 Math Practices and Problem Solving: Repeated Reasoning: Repeat something from one problem to help solve another problem.Resources:Problem of the monthThe Wheel Shop (Counting and Cardinality)CentersOne More on the Ten Frame (K.CC.2)SmartBoard Activities/GamesTwo Less ThanNumber Order 1-20