Standard #: MAFS.2.OA.3.3 (Archived Standard)


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Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.


General Information

Subject Area: Mathematics
Grade: 2
Domain-Subdomain: Operations and Algebraic Thinking
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Work with equal groups of objects to gain foundations for multiplication. (Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

Course Number1111 Course Title222
5012040: Grade Two Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
5015040: Physical Education - Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7715030: Access Physical Education Grade 2 (Specifically in versions: 2018 - 2023, 2023 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))


Related Resources

Formative Assessments

Name Description
Showing a Collection as Odd or Even

Students are asked to determine if each of two collections has an odd or even number of objects, and to explain how they made their decisions.

How Do You Know if a Number is Even or Odd?

Students are asked to determine if a given number is even or odd.

Is it Even or Odd?

Students are asked to determine if a given number is even or odd.

Even Numbers as the Sum of Two Equal Addends

Students are asked to write even numbers within 20 as the sum of two equal addends.

Lesson Plans

Name Description
Is It Odd or Even?

This lesson will introduce students to the concept of odd and even numbers. The lesson will show that objects that can be grouped by 2's (in pairs) represent even numbers and objects that cannot be grouped in pairs (have 1 left over) represent odd numbers. The lesson will also address two-digit numbers (up to 20) to show that the place value of the number in the ones place determines whether a two-digit number is odd or even.

"Even" and "Odd" Go on a Picnic

In this lesson, the class will be guided through representing even numbers using two equal groups and odd numbers as two equal groups with one left over. Students will explore various strategies for representing numbers that are even or odd based on whether they can be divided into two equal teams for a kickball game or whether everyone will have a buddy to pair up with on the picnic. Students will explore writing addition expressions to represent even numbers as two equal addends and odd numbers as two equal addends plus 1.

Odds and Evens Dodgeball

Students will create groups of objects to determine if a number is even or odd.

Framing Odd and Even Numbers to Make an Even Odd Street

In this lesson, students will determine if numbers 0-20 are even or odd. Students will begin to develop the understanding that place value (specifically the ones place) will be useful in determining whether a number is even or odd.

Odds and Evens

This resource helps students identify numbers as odd or even using a variety of methods including creating pairs, skip counting by two’s, using number lines, and arrays. It also leads them to understand that all even numbers can be written as a sum of equal addends and odds can be written as the sum of equal addends plus one.

This resource can be conducted as one lesson or can be spread over multiple mini sessions if needed as noted within this resource as Lesson 1 and Lesson 2.

Original Student Tutorial

Name Description
Beach Buddies: Even or Odd?

Come explore even and odd numbers of objects and learn to determine if a group of objects has an even or odd number in this beach-themed, interactive tutorial.

Problem-Solving Tasks

Name Description
Red and Blue Tiles

This task is specifically written so that students have opportunities to use different strategies to determine whether a set has an even or odd number of objects.

Delayed Gratification

The purpose of this task is for students to compare two options for a prize where the value of one is given $2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.

Student Resources

Original Student Tutorial

Name Description
Beach Buddies: Even or Odd? :

Come explore even and odd numbers of objects and learn to determine if a group of objects has an even or odd number in this beach-themed, interactive tutorial.

Problem-Solving Tasks

Name Description
Red and Blue Tiles:

This task is specifically written so that students have opportunities to use different strategies to determine whether a set has an even or odd number of objects.

Delayed Gratification:

The purpose of this task is for students to compare two options for a prize where the value of one is given $2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.



Parent Resources

Problem-Solving Tasks

Name Description
Red and Blue Tiles:

This task is specifically written so that students have opportunities to use different strategies to determine whether a set has an even or odd number of objects.

Delayed Gratification:

The purpose of this task is for students to compare two options for a prize where the value of one is given $2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.



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