Use many to many to describe ratios where each value is more than one

Representing ratio in different ways

Maths

In this unit pupils will describe the relationship between 2 factors using a ratio grid to calculate unknown values They will use their knowledge of multiplication and division to solve scaling problems and identify and describe the relationship between two shapes using scale factors and ratios. In the future unit pupils will link fractions to ratio and look at ratio with exchange and conversions.

 In the prior unit pupils explained why the product stayed the same when one factor is doubled and the other is halved using knowledge of equivalence. They explained the effect on the quotient when scaling the dividend and divisor by the same amount. In this unit pupils will describe the relationship between two factors and use a ratio grid to calculate unknown values. 

Ratio and proportion

For every 1 orange marble there are 3 blue marbles

For every 3 orange marbles there are 2 blue marbles

For every 3 blue marbles there are 2 orange marbles

For every 3 orange marbles there is 1 blue marble

For every 2 orange marbles there are 3 blue marbles

For every 1 orange marble there are 2 blue marbles

For every 2 blue marbles there are 5 orange marbles

Which of the images show a 'many to many' ratio?

What multiplication would you use to work out the missing number? If there are 12 blue marbles, there will be __ orange marbles.

Which equation represents the total number of marbles?

A recipe uses 3 eggs for every 4 spoons of sugar. If you use 15 eggs, how many spoons of sugar will you need?

A recipe uses 3 eggs for every 4 spoons of sugar. If you use 40 spoons of sugar, how many eggs will you need?

Which image can be described by this statement 'For every 3 birds there are 4 squirrels'?

For every 2 triangles there are 3 circles

For every 3 triangles there are 2 circles

For every 9 triangles there are 6 circles

For every three triangles there are 3 circles

Write a sentence using 'for every' to describe this image

What does the number 8 in this equation $$2 \times 4 = 8$$ represent in relation to this image?

What does the number 4 this equation $$3 \times 4 = 12$$ represent in relation to this image?

What does the number 12 this equation $$3 \times 4 = 12$$ represent in relation to this image?

What does the number 20 this equation $$5 \times 4 = 20$$ represent in relation to this image?

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