Home›Lesson Plans›Mathematics›Operations & Algebraic Thinking · Grade 3

Division: Sharing Fairly, Group by Group

Students share objects into equal groups and discover that division is really a fairness question — how many does each group get, and is there anything left over?

Grade 3Division45 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…

  • ✓Explain division as splitting a total into equal groups.
  • ✓Model a division fact by sharing objects into groups.
  • ✓Connect division to multiplication (the unknown factor).
  • ✓Interpret a remainder as what is left over.
Essential Question

You have 12 cookies and 3 friends. How do you split them so everyone gets the same — and what if it doesn’t divide 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

The Sharing Machine

Project this and share the total into groups. Change the total and the number of groups to see how many each group gets — and when there’s a remainder.

🍪 Share the total — how many in each group?Try it
Total to share12
Number of groups3

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

45 minutes, five moves

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

1

Launch — The Cookie Problem

5 min

12 cookies, 3 friends — make it fair.

👩‍🏫 Teacher Moves

  • Pose the cookie-sharing problem.
  • Ask how to split them fairly.
  • Set the goal: division = equal sharing.

🎒 Student Actions

  • Predict how many each friend gets.
  • Explain what “fair” means here.
  • Guess what division means.
2

I Do — Model the Share

10 min

Teacher shares 12 into 3 groups, one at a time.

👩‍🏫 Teacher Moves

  • Deal 12 counters into 3 groups one-by-one.
  • Write 12 ÷ 3 = 4 and name each part.
  • Connect: 3 × 4 = 12, so 12 ÷ 3 = 4.

🎒 Student Actions

  • Watch the fair share and copy it.
  • Label the total, groups, and each group.
  • Say “12 divided by 3 equals 4.”
3

We Do — Share Together

12 min

Class drives the Sharing Machine and hunts remainders.

👩‍🏫 Teacher Moves

  • Use the Sharing Machine as a class.
  • Try totals that don’t divide evenly.
  • Name the leftover as the remainder.

🎒 Student Actions

  • Call out totals and groups to share.
  • Write the division equation each time.
  • Spot when there is a remainder.
4

You Do — On Your Own

13 min

Students share and record independently.

👩‍🏫 Teacher Moves

  • Assign sharing problems + word problems.
  • Include one with a remainder.
  • Check the division–multiplication link.

🎒 Student Actions

  • Draw the groups and write equations.
  • Solve equal-sharing word problems.
  • Explain one remainder in words.
5

Close — Back to the Cookies

5 min

Solve the opener the fast way.

👩‍🏫 Teacher Moves

  • Return to the 12-cookie problem.
  • Have students write the division fact.
  • Hand out the exit ticket.

🎒 Student Actions

  • Write 12 ÷ 3 = 4 for the opener.
  • Explain why sharing is division.
  • 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
3.OA.A.2

Interpret whole-number quotients, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 are partitioned equally into 8 shares.

CCSS
3.OA.A.3

Use division within 100 to solve word problems involving equal groups and arrays.

CCSS
3.OA.B.6

Understand division as an unknown-factor problem (e.g., 32 ÷ 8 by finding 8 × ? = 32).

SMP
MP.2

Reason abstractly and quantitatively when sharing quantities into equal groups.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Real counters to deal into group cups.
  • Sentence frame: “___ shared into ___ groups is ___ each.”
  • Say the sharing aloud before writing.

Support & Access

IEP / 504
  • Start with totals that divide evenly.
  • Provide group mats to place counters on.
  • Allow physical dealing instead of recall.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Explore what remainders mean in real life (leftover, round up).
  • Write a division word problem with a remainder.
  • Connect division to fractions (1 ÷ 4).
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻The Sharing Machine
  • 🔵Counters + cups
  • 📐Grid paper
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

divisionsplitting into equal groupsdividendthe total being shareddivisorthe number of groupsquotienthow many in each groupremainderwhat is left overequal groupsgroups with the same amountshareto split fairlyfact familyrelated × and ÷ facts
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
Share 15 into 3 equal groups. Write the division equation and the answer.
15 ÷ 3 = 5 (5 in each group).
QUESTION 2
You have 13 markers to share equally among 4 students. How many does each get, and how many are left over?
Each gets 3, with 1 left over (13 ÷ 4 = 3 R1).
QUESTION 3
How can 4 × 6 = 24 help you solve 24 ÷ 4?
Division is the unknown factor: 4 × ? = 24, so 24 ÷ 4 = 6.

Going deeper? Run a “fair-share” store.

Give groups a pile of items and a number of “customers” and have them share fairly, recording each division fact and its remainder. A printable recording sheet 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.

🃏 Division as Equal SharingFlip
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.

📝 Division as Equal SharingQuiz
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.

🖨️ Division as Equal SharingPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: dividend, division, divisor, equal groups, fact family, quotient, remainder, share
  1. related × and ÷ facts
  2. the number of groups
  3. splitting into equal groups
  4. groups with the same amount
  5. how many in each group
  6. what is left over
  7. to split fairly
  8. the total being shared

Part B · Show what you learned

  1. Share 15 into 3 equal groups. Write the division equation and the answer.
  2. You have 13 markers to share equally among 4 students. How many does each get, and how many are left over?
  3. How can 4 × 6 = 24 help you solve 24 ÷ 4?
Answer key — Part A: 1) fact family · 2) divisor · 3) division · 4) equal groups · 5) quotient · 6) remainder · 7) share · 8) dividend
Part B: 1) 15 ÷ 3 = 5 (5 in each group). 2) Each gets 3, with 1 left over (13 ÷ 4 = 3 R1). 3) Division is the unknown factor: 4 × ? = 24, so 24 ÷ 4 = 6.