Home›Lesson Plans›Mathematics›Operations & Algebraic Thinking · Grade 2

Odd & Even: Do the Numbers Pair Up?

Students discover that every number is either even (it pairs up perfectly) or odd (one is always left over) by grouping objects into twos — a first step toward understanding how numbers work.

Grade 2Numbers40 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Tell odd from even numbers.
  • ✓Pair objects to check odd or even.
  • ✓Know that even numbers end in 0, 2, 4, 6, 8.
  • ✓Know that odd numbers end in 1, 3, 5, 7, 9.
Essential Question

If everyone in the class needs a partner, will someone always be left out? How can you tell if a number pairs up evenly?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

Pair It Up

Project this and change the number. Watch the dots try to pair up two-by-two — if one is left over, the number is odd!

⚁️ Change the number — does it pair up?Try it
Number: 7

The Lesson · Gradual Release (I Do · We Do · You Do)

40 minutes, five moves

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

1

Launch — Everyone Needs a Partner

5 min

If 7 kids need partners, will anyone be left out?

👩‍🏫 Teacher Moves

  • Have an odd number of students partner up.
  • Notice someone is left over.
  • Set the goal: odd and even.

🎒 Student Actions

  • Try to find a partner.
  • Notice a leftover.
  • Predict the idea.
2

I Do — Pair to Check

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Pair objects two-by-two.
  • Show even = none left over.
  • Show odd = one left over.

🎒 Student Actions

  • Watch the pairing.
  • See even and odd.
  • Learn the leftover rule.
3

We Do — Check Together

12 min

Class drives Pair It Up.

👩‍🏫 Teacher Moves

  • Test numbers with the tool.
  • Predict odd or even first.
  • Notice the ones-digit pattern.

🎒 Student Actions

  • Predict odd/even.
  • Check with the dots.
  • Spot the pattern.
4

You Do — On Your Own

13 min

Students sort numbers.

👩‍🏫 Teacher Moves

  • Assign numbers to label odd/even.
  • Have them pair to prove it.
  • Use the ones-digit rule.

🎒 Student Actions

  • Label odd or even.
  • Pair to prove it.
  • Use the digit rule.
5

Close — Close

5 min

One last number.

👩‍🏫 Teacher Moves

  • Give a number; students decide.
  • Explain how they know.
  • Hand out the exit ticket.

🎒 Student Actions

  • Decide odd/even.
  • Explain the leftover.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
2.OA.3

Determine whether a group of objects (up to 20) is odd or even; write an equation for an even number as two equal addends.

CCSS
2.OA.4

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

CCSS
2.NBT.2

Count within 1000; skip-count by 2s, 5s, 10s.

SMP
MP.7

Look for and make use of structure in pairing numbers.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Pair real objects into twos.
  • Sentence frame: “___ is ___ because ___.”
  • Color even/odd on a number line.

Support & Access

IEP / 504
  • Start with numbers up to 10.
  • Use two-color counters to pair.
  • Focus on the ones-digit rule.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Write an even number as two equal groups.
  • Find the pattern in odd + odd.
  • Sort numbers to 100 as odd/even.
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻Pair It Up
  • 🟡Two-color counters
  • 🔢A number line
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

evena number that pairs up with none left overodda number with one left overpaira group of twogroupa set of objectsleftoverthe one that has no partnerones digitthe last digit of a numbercountto say numbers in orderequalthe same amount
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
Is 8 odd or even? How do you know?
Even — the 8 objects pair up two-by-two with none left over (and it ends in 8).
QUESTION 2
Is 13 odd or even?
Odd — one is left over when you pair them (and it ends in 3).
QUESTION 3
What digits do even numbers end in?
0, 2, 4, 6, or 8.

Going deeper? Hunt for odd and even.

Have students find numbers around the room (page numbers, clocks, calendars) and sort them into odd and even, proving each by pairing. A printable odd/even sort is in the Math 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.

🃏 Odd & Even NumbersFlip
Card 1
Term
Tap to flip →
Meaning
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Practice · Quiz

Check your understanding

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

📝 Odd & Even NumbersQuiz
Score: 0
1 / 6
Question 1
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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.

🖨️ Odd & Even NumbersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: count, equal, even, group, leftover, odd, ones digit, pair
  1. a number that pairs up with none left over
  2. a group of two
  3. the last digit of a number
  4. a number with one left over
  5. the same amount
  6. the one that has no partner
  7. a set of objects
  8. to say numbers in order

Part B · Show what you learned

  1. Is 8 odd or even? How do you know?
  2. Is 13 odd or even?
  3. What digits do even numbers end in?
Answer key — Part A: 1) even · 2) pair · 3) ones digit · 4) odd · 5) equal · 6) leftover · 7) group · 8) count
Part B: 1) Even — the 8 objects pair up two-by-two with none left over (and it ends in 8). 2) Odd — one is left over when you pair them (and it ends in 3). 3) 0, 2, 4, 6, or 8.