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.

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

Division means splitting into equal parts or groups. ___ is divided into groups of ___

Represent division by grouping with multiplication and addition equations

Maths

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

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

This image shows equal groups that have been made and a counter left over. The leftover counter is called a {{ }}.

Look at the image. 10 has been divided into groups of 3     There are 3 equal groups and a remainder of {{ }}

Which part-part-whole model represents this equation? 17 = 3 × 5 + 2

Sofia divides some counters into equal groups of 9 with a remainder of 3.  How many counters did she start with? {{ }}

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

There are 16 cookies. 2 cookies are put into each bag. Which statement matches this story?

There are 40 cakes. 5 cakes are put into each box. Which division expression matches this story?

Jun saw some seastars with 5 legs. He counted 45 legs altogether. How many seastars did he see?

Jun saw some crabs with 10 legs. There are 120 legs altogether. How many crabs did he see?

There are 20 children. Which equal-sized groups could they get into without any children being left out?

Represent division by grouping with multiplication and addition equations

Lesson outcome