Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are.

Division means 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 grouping, including those with remainders

Maths

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.

Division with remainders

making groups with the same number of objects in each group

Match the keyword to the correct definition.

Match the multiplication and division equations that can represent the same number of groups. 

There are 21 cookies and each bag can hold 3 cookies. Which equations could be used to solve this problem?

Alex has 35 pages left to read in his book. He reads 7 pages each day. How many days did it take him to finish reading his book? {{ }} days

Match the multiplication and division equations with remainders that represent the same number of groups.

She can fill 5 bags and will have no cookies left over.

She can fill 4 bags and will have a remainder of 4 cookies.

She can fill 4 bags and will have a remainder of 2 cookies.

Sofia has 28 cookies and each bag can hold 6 cookies. Which of these statements is correct?

Division means splitting into __________ parts or groups.

Look at the image. 14 has been divided into groups of 3     There are 4 groups of 3 and a remainder of {{ }}

Which bar model represents this equation? 37 = 4 × 8 + 5

Sofia divides some counters into equal groups of 7 with a remainder of 3      How many counters did she start with? {{ }} 

Look at the image. What is the remainder? {{ }}

This lesson will be removed by end of Summer Term 2025.

Solve division problems involving grouping, including those with remainders

Lesson outcome

This lesson will be removed by end of Summer Term 2025.