# MA.2.AR.3.1

Represent an even number using two equal groups or two equal addends. Represent an odd number using two equal groups with one left over or two equal addends plus 1.

### Examples

Example: The number 8 is even because it can be represented as two equal groups of 4 or as the expression 4+4.

Example: The number 9 is odd because it can be represented as two equal groups with one left over or as the expression 4+4+1.

### Clarifications

Clarification 1: Instruction focuses on the connection of recognizing even and odd numbers using skip counting, arrays and patterns in the ones place.

Clarification 2: Addends are limited to whole numbers less than or equal to 12.

General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.2.AR.3.AP.1: Explore the concept of odd and even by pairing objects to represent an even number using two equal groups or represent an odd number by using two equal groups with one left over. Group of objects may not exceed 20.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Formative Assessments

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.

Type: Formative Assessment

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

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

Type: Formative Assessment

Is it Even or Odd?:

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

Type: Formative Assessment

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.

Type: Formative Assessment

## Lesson Plan

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.

Type: Lesson Plan

## Original Student Tutorial

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.

Type: Original Student Tutorial

## MFAS Formative Assessments

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.

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.

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.

## Original Student Tutorials Mathematics - Grades K-5

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.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorial

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.

Type: Original Student Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.