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.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 use matching or counting to tell if a group of objects in one group is bigger, smaller or the same as a group of objects in another group.

I can compare two written numbers between 1 and 10.

Prerequisite Standards:

K.CC.3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 0–20 (with 0 representing a count of no objects).

K.CC.4a: When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.

K.CC.4b: Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.

K.CC.4c: Understand that each successive number name refers to a quantity that is one larger

K.CC.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 1–20, count out that many objects.

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 from 0 to 5 be compared and ordered?

Students will know...

Two groups of objects are equal in number if they can be directly matched one-to-one, with no extras in either group

Two groups of objects can be directly compared using a matching process.

Two sets of objects can be compared by number using counting strategies, which is a more efficient method than matching.

Two numbers can be compared by using the counting number sequence. A number represents a quantity greater than another quantity if it is later in the sequence.

Mathematicians use math they know to show and solve problems.

Vocabulary:

compare, equal, group, same number as, greater than, less than, model

## Topic Two: Compare Numbers 0 to 5

## 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.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.3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 0–20 (with 0 representing a count of no objects).K.CC.4a:When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.K.CC.4b: Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.K.CC.4c: Understand that each successive number name refers to a quantity that is one largerK.CC.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 1–20, count out that many objects.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:Students will know...Vocabulary:compare, equal, group, same number as, greater than, less than, model

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

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

Learning Activities:2-1 Equal Groups: Compare groups to see whether they are equal by matching2-2 Greater Than: Tell whether one group is greater in number than another group.2-3 Less Than: Tell whether one group is less in number than another group2-4 Compare Groups to 5 by Counting: Compare groups by counting2-5 Compare Numbers to 5: Compare numbers2-6 Model with Math: Use objects, drawings, and numbers to compare numbers.Resources:Problem of the Month:## Counting & Cardinality

Centers:SmartBoard Resources/Games: