Solve a variety of division problems, explaining understanding

Maths

Explain that objects can be grouped equally

Identify and explain when objects cannot be grouped equally

Explain the relationship between division expressions and division stories

Calculate the number of equal groups in a division story

Use knowledge of skip counting and division to solve problems relating to measure

Skip count using the group size to find the number of groups

Explain that objects can be shared equally

Use skip counting to solve a sharing problem

Skip count to find the group size in a sharing problem

In this unit pupils will explain when objects can and cannot be grouped or shared equally. In the future unit pupils will learn how to find the quotient for 2x 5x 10x tables. They will learn how a division equation with 2 as a divisor is related to halving and each part of a division equation and how they can be interchanged. They will use divisibility rules to solve problems.

In the prior unit pupils learned how a multiplication equation with 2 as a factor related to doubling and how a division equation with 2 as a divisor related to halving. They explained the relationship between factors and products. In this unit pupils will explain when objects can and cannot be grouped or shared equally.

In this unit pupils will use practical resources to model and explain when objects can and cannot be grouped or shared equally. They will then represent practical situations using division expressions and equations.

Introduction to division structures

Jun counts 50 legs. How many crabs are there? How would you solve this problem?

Jun counts 45 legs. How many seastars are there? How would you solve this problem?

A seastar has 5 legs. Jun counts 45 legs. There are {{ }} seastars.

50 fish divided equally between 10 penguins is equal to {{ }} fish each.

Some raccoons share 40 strawberries equally and get 10 each. There are {{ }} raccoons.

10 mice share some nuts equally and get 7 nuts each. There are {{ }} nuts.

Jun uses skip counting to share 15 nuts between 5 mice. Use his count to help you work out how many nuts each mouse gets.

14 biscuits shared between 2 dogs is equal to {{ }} biscuits each.

50 fish are shared equally between 10 penguins. Each penguin gets {{ }} fish.

5 dogs share 25 biscuits between them. Each dog gets {{ }} biscuits. 

Bamboo comes in bunches of 10     10 pandas share 6 bunches of bamboo. Each panda gets {{ }} pieces of bamboo.

Complete the division equation to describe how Aisha shared the counters. 30 ÷ 5 = {{ }}

Solve a variety of division problems, explaining understanding

Lesson outcome