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:

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

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

Essential Questions:

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

Students will know...

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

You can use 5 as a benchmark to compare numbers.

You can use 10 as a benchmark to compare numbers.

1 more than expresses a relationship between two numbers.

1 fewer than expresses a relationship between two numbers.

2 more than expresses a relationship between two numbers.

2 fewer than expresses a relationship between two numbers.

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

Numbers can be shown by a unique point on the number line. The distance between any two consecutive whole numbers on a given number line in always the same.

Some problems can be solved by using objects to act out the actions in a problem.

Vocabulary:
greater, less, order, number line, forward, backward

Comparing two numbers using sets of objects and one-to-one correspondence to determine which number is greater and which is less.

Being given a number from 0-5, children will tell if the number is greater or less than 5.

Being given a number or set from 0-12, children will decide if the number is greater or less than 10.

Using counting to identify a number that is 1 more than another number.

Using counting to identify a number that is 1 fewer than another number.

Using counting to identify a number that is 2 more than another number.

Using counting to identify a number that is 2 fewer than another number.

Ordering numbers from 0 through 10 in sequence.

Using a number line to count numbers 0 to 10 in order.

Solving problems by using counters to show 1 more and 2 more.

Assessment Evidence

Performance Assessment:

Other Evidence:

Learning Plan

Learning Activities:

4-1 In a pair of numbers, the number that shows more is greater. The number that shows fewer is less. 4-2 You can use 5 as a benchmark to compare numbers. 4-3 You can use 10 as a benchmark to compare numbers. 4-4 1 more than expresses a relationship between two numbers. 4-5 1 fewer than expresses a relationship between two numbers. 4-6 2 more than expresses a relationship between two numbers. 4-7 2 fewer than expresses a relationship between two numbers. 4-8 There is a specific order to the set of whole numbers. 4-9 Numbers can be shown by a unique point on the number line. The distance between any two consecutive whole numbers on a given number line in always the same. 4-10 Some problems can be solved by using objects to act out the actions in a problem.

## Topic Four Comparing and Ordering Numbers 0 to 10

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:K.CC.2Count forward beginning from a given number within the known sequence (instead of having to begin at 1).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.K.CC.7Compare 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:Comparison and RelationshipsNumbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects 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.

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

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

Students will know...more thanexpresses a relationship between two numbers.fewer thanexpresses a relationship between two numbers.more thanexpresses a relationship between two numbers.fewer thanexpresses a relationship between two numbers.Vocabulary:greater, less, order, number line, forward, backward

Topic 4 Vocab Cards:Vocab Cards Topic 4Students will be skilled at...## Assessment Evidence

Performance Assessment:Other Evidence:## Learning Plan

Learning Activities:4-1In a pair of numbers, the number that shows more is greater. The number that shows fewer is less.4-2You can use 5 as a benchmark to compare numbers.4-3You can use 10 as a benchmark to compare numbers.4-41more thanexpresses a relationship between two numbers.4-51fewer thanexpresses a relationship between two numbers.4-62more thanexpresses a relationship between two numbers.4-72fewer thanexpresses a relationship between two numbers.4-8There is a specific order to the set of whole numbers.4-9Numbers can be shown by a unique point on the number line. The distance between any two consecutive whole numbers on a given number line in always the same.4-10Some problems can be solved by using objects to act out the actions in a 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