Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.

Division is splitting into equal parts or groups.

A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

Solve division problems involving sharing, including those with remainders

Maths

Represent division by grouping with multiplication and addition equations

Solve division problems involving grouping, including those with remainders

Represent division by sharing with equations

Use multiplication facts to answer division questions

Explain how the remainder relates to the divisor in a division equation

Identify when there will be a remainder

Use knowledge of division equations and remainders to solve problems

Decide what to do with the answer to a division calculation to solve a problem

Use knowledge of division to solve problems

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor. In the future unit pupils will divide a 2-digit number by a single-digit number using partitioning and representations with exchanging and remainders. They will divide a 2-digit number by a single-digit number using short division .

In the prior unit pupils explained how each part of a multiplication and division equation related to a story. They partitioned one of the factors in a multiplication equation in different ways using representations. In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

Division with remainders

Jun is dividing cookies by sharing them between 5 bags. In this problem, 5 is the __________

What is the missing dividend in this bar model?

Which bar model represents this problem? Sophia has 32 cookies and she divides them between 4 bags. How many cookies are in each bag?

Alex divides 54 eggs between 9 boxes. There are {{ }} eggs in each box.

Jun has 43 apples and he divides them between 5 bags. How many apples will be left over? There will be {{ }} apples left over.

Alex divides 50 balls equally between 6 buckets for sports day. How many balls are in each bucket?

Look at the division equation. Match the numbers to the description.

Look at the division and multiplication equations. What number is missing from both? {{ }}

Look at this number line for 22 ÷ 4    What is the remainder? {{ }}

Look at the bar model. Which equations does it represent?

What is the remainder when 46 books are shared between 8 shelves? 46 ÷ 8 = 5 r {{ }}

Use your multiplication facts to divide by sharing. 45 ÷ 6 = {{ }} r 3

Solve division problems involving sharing, including those with remainders

Lesson outcome