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

Use knowledge of division to solve problems

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

Solve division problems involving sharing, including those with remainders

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

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

75 children are going on a trip to the farm. Each minibus can hold 9 children. How many minibuses are needed to take all of the children? {{ }} minibuses.

Sofia feeds 55 different cows on the farm. There are 8 cows in each enclosure. How many enclosures did she visit? {{ }}

There are 70 bags of different animal feed which are shared equally between 6 of the groups. How many bags does each group receive? {{ }} bags.

In the rabbit house, 44 carrots are shared equally between 7 rabbits. How many carrots does each rabbit receive? {{ }} carrots

The farmer gives trailer rides around the farm. Each trailer has room for 12 children. How many trailers are needed for 75 children to ride? {{ }} trailers.

There are 44 children waiting to see the pigs. Only 8 children are allowed into the barn at a time.  How many of the groups that go into the barn contain 8 children? {{ }}

Sofia has 31 apples and is putting them into boxes of 4 apples. How many full boxes of apples will there be?

58 ÷ 6 = 9 r 4     This equation represents a division problem. Which of the following would be possible answers to the problem?

There are 105 children at the school picnic. 11 children can sit on each picnic blanket. How many blankets are needed so that all children can sit down? 

At the picnic, each large bottle of water can fill 9 glasses. How many bottles are needed to fill 88 glasses? 

In an art lesson, 52 children need a paint brush. Brushes come in packs of 12     How many full packs are needed for all children to have a paintbrush? {{ }}

Children are put into groups of 7 to play a team game. If there are 65 children, how many full teams of 7 are there? {{ }}

Use knowledge of division to solve problems

Lesson outcome