Describe the relationship between two factors in a ratio context | Maths

Starter quiz

What is 3 x 9 equal to?
- 12
- 21
- 27 ✓
What is 4 x 6 equal to?
- 24 ✓
- 10
- 46
How many 8s are there in 40?
- 8
- 2
- 5 ✓
What is 6 times the size of 3?
- 18 ✓
- 9
- 12
What number is one third times the size of 21?
- 3
- 6
- 7 ✓
Which of these numbers are divisible by 6?
- 18 ✓
- 27
- 9
- 36 ✓

Exit quiz

Which of these statements describe this image?
- For every 2 squirrels there is one bird
- For every 2 birds there is one squirrel ✓
- For every 3 birds there is one squirrel
- For every one bird there is one squirrel
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
- For every 3 circles there are 2 squares ✓
- For every 3 circles there is a square
- For every 2 squares there are 3 circles ✓
$What does the number 12 this equation <Math>3 \times 4 = 12</Math> represent in relation to this image?$

What does the number 12 this equation $3 \times 4 = 12$ represent in relation to this image?
- 'The total number of shapes' ✓
$What does 3 this equation <Math>3 \times 4 = 12</Math> represent in relation to this image?$

What does 3 this equation $3 \times 4 = 12$ represent in relation to this image?
- The number of triangles in the image
- The number of shapes in the basic pattern ✓
- The number of circles in the image
$What does 4 this equation <Math>3 \times 4 = 12</Math> represent in relation to this image?$

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
- The number of times the pattern is repeated ✓
Look at the pattern and tick all the statements that are true
- For every 1 star there are 3 squares
- For every 1 square there are 3 stars ✓
- 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

Worksheet

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Presentation

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Lesson Details

Key learning points

The language "For every __ __ there are __ __ " can be used to describe ratio.
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