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Even and Odd Numbers

Second graders learn that even numbers split into equal pairs with none left over, while odd numbers always have one extra, and sort numbers into the two groups.

Grade 2Even and Odd Numbers30 minutes1 class periodPlay-BasedExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Define even & odd.
  • ✓Test a number by making pairs.
  • ✓Use the ones digit.
  • ✓Sort numbers by type.
Essential Question

Some amounts can be shared perfectly in two, and some always leave one out. How can you tell, just by looking, whether a number is even or odd?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Sort It · Interactive

Sort Even & Odd

Project this and sort each number into even or odd — tap a number, then tap which group it belongs in.

🔢 Sort each number: even or odd?Try it
⚖️ Even
🧩 Odd
Tap a number, then tap whether it is even or odd.
The Lesson · Play-Based Learning (Gather · Explore · Play · Reflect)

30 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Hook — Fair Shares

5 min

You have some cookies to share with a friend. When can you split them evenly?

👩‍🏫 Teacher Moves

  • Show groups of cookies.
  • Ask which split evenly.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Numbers

12 min

Students sort numbers into even and odd.

👩‍🏫 Teacher Moves

  • Send students to Sort Even & Odd.
  • Drop each number.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Make Pairs

13 min

Students test numbers by pairing.

👩‍🏫 Teacher Moves

  • Draw dots for a number.
  • Circle pairs of two.
  • See if one is left over.

🎒 Student Actions

  • Draw.
  • Circle.
  • Check.
4

Create — Find the Pattern

15 min

Students look at the ones digit.

👩‍🏫 Teacher Moves

  • List even numbers to 20.
  • List odd numbers to 20.
  • Find the last-digit pattern.

🎒 Student Actions

  • List.
  • List.
  • Find.
5

Reflect — One Left Over

5 min

Students reflect on the rule.

👩‍🏫 Teacher Moves

  • What makes a number even?
  • Which ones digits are odd?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics (Grade 2).

CCSS
2.OA.C.3

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

CCSS
2.OA.C.4

Use addition to find the total number of objects arranged in rectangular arrays.

CCSS
2.OA.B.2

Fluently add and subtract within 20 using mental strategies.

CCSS
MP.7

Look for and make use of structure in patterns.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Number cards with dot pictures.
  • Sentence frame: “___ is even because it makes pairs.”
  • Sort two numbers at a time.

Support & Access

IEP / 504
  • Start with small numbers to 10.
  • Use counters to make pairs.
  • Sort even numbers fully before odd.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Sort two-digit numbers by the ones digit.
  • Explain why the ones digit decides.
  • Explore even + even and even + odd sums.
Materials

What to gather

  • 📽️Projector / board
  • 🔴Counters / cubes
  • 💻Sort Even & Odd
  • 🖼️Number cards
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

even numbera number that splits into two equal groups with none left overodd numbera number that always has one left over when split into pairspaira group of twoones digitthe last digit of a number, in the ones placeequal groupsgroups that each have the same amountleft overan amount remaining after making equal groupsskip countto count by a number, like 2, 4, 6, 8patternsomething that repeats in a predictable way
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
What makes a number even?
It can be split into two equal groups, or into pairs, with none left over.
QUESTION 2
Which ones digits mean a number is odd?
1, 3, 5, 7, or 9.
QUESTION 3
Is 16 even or odd? How do you know?
Even, because it splits into 8 pairs with none left over (and its ones digit, 6, is even).

Create: find the pattern.

Have students list the even and odd numbers to 20 and circle the pattern in the ones digits (even ends in 0, 2, 4, 6, 8; odd ends in 1, 3, 5, 7, 9). A printable even-and-odd worksheet is in the Mathematics library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Even and Odd NumbersFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Even and Odd NumbersQuiz
Score: 0
1 / 6
Question 1
0%

Nice work!

Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Even and Odd NumbersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: equal groups, even number, left over, odd number, ones digit, pair, pattern, skip count
  1. the last digit of a number, in the ones place
  2. groups that each have the same amount
  3. to count by a number, like 2, 4, 6, 8
  4. something that repeats in a predictable way
  5. a group of two
  6. an amount remaining after making equal groups
  7. a number that splits into two equal groups with none left over
  8. a number that always has one left over when split into pairs

Part B · Show what you learned

  1. What makes a number even?
  2. Which ones digits mean a number is odd?
  3. Is 16 even or odd? How do you know?
Answer key — Part A: 1) ones digit · 2) equal groups · 3) skip count · 4) pattern · 5) pair · 6) left over · 7) even number · 8) odd number
Part B: 1) It can be split into two equal groups, or into pairs, with none left over. 2) 1, 3, 5, 7, or 9. 3) Even, because it splits into 8 pairs with none left over (and its ones digit, 6, is even).