New
New
Year 4

Represent division by grouping with multiplication and addition equations

I can represent and interpret division by grouping where there is a remainder using multiplication and addition.

New
New
Year 4

Represent division by grouping with multiplication and addition equations

I can represent and interpret division by grouping where there is a remainder using multiplication and addition.

Lesson details

Key learning points

  1. Objects can be divided into equal groups, sometimes with a remainder.
  2. Multiplication facts can be used to solve grouping problems.
  3. Multiplication and addition can show when a set of objects has been divided into equal groups with a remainder.

Common misconception

When writing equations to represent part-part-whole models, children may have difficulty recording the number of groups (as this numeral is not written in the model) and revert to repeated addition.

Encourage children to articulate their thinking as they record, e.g. there are ___ groups of ___ and a remainder of ___

Keywords

  • Groups - 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.

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

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

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Which symbol is used for division?
+
Correct answer: ÷
×
Q2.
There are 16 cookies. 2 cookies are put into each bag. Which statement matches this story?
Correct answer: 16 is divided into groups of 2
2 is divided into groups of 16
18 is divided into groups of 2
Q3.
There are 40 cakes. 5 cakes are put into each box. Which division expression matches this story?
Correct answer: 40 ÷ 5
5 ÷ 40
40 − 5
Q4.
Jun saw some seastars with 5 legs. He counted 45 legs altogether. How many seastars did he see?
An image in a quiz
Correct Answer: 9
Q5.
Jun saw some crabs with 10 legs. There are 120 legs altogether. How many crabs did he see?
An image in a quiz
Correct Answer: 12
Q6.
There are 20 children. Which equal-sized groups could they get into without any children being left out?
Correct answer: groups of 2
groups of 3
Correct answer: groups of 4
Correct answer: groups of 5
groups of 6

6 Questions

Q1.
This image shows equal groups that have been made and a counter left over. The leftover counter is called a .
An image in a quiz
Divisor
Dividend
Correct answer: Remainder
Q2.
Look at the image. 10 has been divided into groups of 3 There are 3 equal groups and a remainder of
An image in a quiz
Correct Answer: 1, one
Q3.
Which equation represents this image?
An image in a quiz
13 = 2 × 6 + 1
Correct answer: 13 = 2 × 5 + 3
13 = 2 × 3 + 5
Q4.
Which part-part-whole model represents this equation? 17 = 3 × 5 + 2
Correct answer: a
b
c
Q5.
Sofia divides some counters into equal groups of 9 with a remainder of 3. How many counters did she start with?
An image in a quiz
Correct Answer: 30
Q6.
Look at the image. What is the remainder?
An image in a quiz
Correct Answer: 4