Odd or Even

CONCEPTUAL

Mathematics›Number Representation & Place Value|Ages 7—8|ID: mt_hniI4E-OCE

Determine whether a group of objects (up to 20) has an odd or even number of members

Mastery Evidence

Pair objects and determine whether there is one left over (odd) or not (even)
Count a group by 2s to determine if the total is even
Write an equation to express an even number as a sum of two equal addends (e.g. 8 = 4 + 4)

Assessment Prompt

“If [child] has a group of 14 objects, can they tell you whether that number is odd or even — for example by pairing them up to see if any are left over?”

Curriculum Standards1 alignment

2.OA.3Common Core State Standards for Mathematics

Determine odd or even numbers

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.

Operations and Algebraic Thinking

Prerequisites2

Counting in 2s
hardAges 5—7
Addition as combining or putting together two
softAges 4—6

Show full prerequisite tree

Counting in 2s hard
Odd/even requires counting by 2s (skip counting)
- Rote counting to 100 hard
  Skip counting in 2s, 5s, 10s requires fluent rote counting by ones first
  - One-to-one counting hard
    One-to-one correspondence requires knowing the number name sequence
Addition as combining or putting together two soft
Writing even numbers as sum of two equal addends uses addition concept
- How Many in Total? hard
  Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
  - One-to-one counting hard
    Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

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