Mathematics

Intermediate

50 mins

Teacher/Student led

Learning Goals

Learning Outcomes

Lesson Files

+80 XP

What you need:
IWB/Projector/Large Screen

Dividing by Single-digit Divisors with Remainders

Use short division to share three-digit numbers into equal groups, understand what the remainder means in real situations, and check your work by multiplying back. Solve problems about buses, teams and sharing.

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1 Getting Started
2 Watch and Notice
3 Try It Together
4 Set It Out in Your Copy
5 Class Challenge
6 What Did We Notice?
7 What's Next
Pupil practice

1 - Getting Started ~4 mins

Illustration for Getting Started Our whole school of 347 pupils is going on a GAA trip, and they are sharing evenly between 6 coaches. Do you think 6 will share into 347 with nothing left over — and if something is left over, what would we do with it?

👇 Mark your steps as done as you complete them.

+5 XP

2 - Watch and Notice ~11 mins

The interactive shows counters already shared into equal groups. Look at how many are in each group, and notice any counters left over. Three words to know: quotient, divisor, remainder.

👇 Mark your steps as done as you complete them.

+10 XP

3 - Try It Together ~11 mins

Today we work through 425 ÷ 3 together on the interactive, dealing the counters into the groups, reading off how many are in each group, and naming the remainder. Before the reveal we'll say aloud what we think the leftover will be. After that, we'll set out two more on the board together — 638 ÷ 5 and 700 ÷ 8 — using the bus-stop method, predicting each leftover first.

Share and name the remainder

+15 XP

4 - Set It Out in Your Copy ~4 mins

COPYBOOK MOMENT

Before you open your copy, we work one leftover decision together on the board. 50 children need buses, and each bus holds 8. We set out 50 ÷ 8 with the bus-stop method, name the quotient and the remainder, then decide whether to round up, round down, or keep the leftover, and write one sentence that matches the situation. After that, in your maths copy, set out each short-division calculation using the bus-stop method, write the quotient and remainder clearly, then check by working quotient × divisor + remainder. Box the result once your check comes back to the number you started with. For the last two, write one sentence saying what the leftover means in that situation, the same way we did on the board.

425 ÷ 3
638 ÷ 5
700 ÷ 8
155 medals shared among 6 clubs, how many each, and what happens to the leftovers?
227 players into full teams of 5, how many full teams, and what happens to the players left over?

+10 XP

5 - Class Challenge ~8 mins

Today we solve these real-life division problems together: sharing hurleys fairly, filling buses for a GAA crowd, forming full teams from a squad, and a last one about sharing medals evenly. Each problem's action words tell us it is a sharing problem — 'shares equally', 'how many full', 'each bus holds'. We read, choose divide, build the number sentence, work the answer, and check it before we move on.

Sharing at the club

+15 XP

Pupil practice

Module 2 · Operations and Computational Fluency Number

Lesson 20 · Dividing by Single-digit Divisors with Remainders

Download Activity Book page (PDF)

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