New
New
Year 6

# Describe the relationship between two factors in a ratio context

You can describe the relationship between two factors in a ratio context.

New
New
Year 6

# Describe the relationship between two factors in a ratio context

You can describe the relationship between two factors in a ratio context.

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## Lesson details

### Key learning points

1. The language "For every __ __ there are __ __ " can be used to describe ratio.
2. Objects and diagrams can be used to represent ratio relationships.

### Common misconception

Using addition and subtraction to connect the parts and whole in a ratio context.

Model all relationships at this stage using the language and notation of multiplication and division.

### Keywords

• Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole

• For every - For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle

Have counters or cubes in two different colours or shapes for pupils to use to create patterns. Stress the use of the language "for every" to identify the parts but also make sure that the whole set is identified in each context.
Teacher tip

### 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).

## Starter quiz

### 6 Questions

Q1.
What is 3 x 9 equal to?
12
21
Q2.
What is 4 x 6 equal to?
10
46
Q3.
How many 8s are there in 40?
8
2
Q4.
What is 6 times the size of 3?
9
12
Q5.
What number is one third times the size of 21?
3
6
Q6.
Which of these numbers are divisible by 6?
27
9

## Exit quiz

### 6 Questions

Q1.
Which of these statements describe this image?
For every 2 squirrels there is one bird
Correct answer: For every 2 birds there is one squirrel
For every 3 birds there is one squirrel
For every one bird there is one squirrel
Q2.
Write a sentence using 'For every' to describe this pattern
For every 2 circles there are 2 squares
For every 3 circles there are 3 squares
Correct answer: For every 3 circles there are 2 squares
For every 3 circles there is a square
Correct answer: For every 2 squares there are 3 circles
Q3.
What does the number 12 this equation $$3 \times 4 = 12$$ represent in relation to this image?
Correct Answer: The total number of shapes, All the triangles and circles, All the shapes
Q4.
What does 3 this equation $$3 \times 4 = 12$$ represent in relation to this image?
The number of triangles in the image
Correct answer: The number of shapes in the basic pattern
The number of circles in the image
Q5.
What does 4 this equation $$3 \times 4 = 12$$ represent in relation to this image?
The number of triangles in the image
The number of circles in the image
Correct answer: The number of times the pattern is repeated
Q6.
Look at the pattern and tick all the statements that are true
For every 1 star there are 3 squares
Correct answer: For every 1 square there are 3 stars
Correct answer: You could make this repeating pattern with 44 shapes in total
If you repeated the pattern 8 times you would use 30 shapes in total