- Year 7
Expressing multiplicative relationships as ratios and fractions
I can express a multiplicative relationship as a ratio or as a fraction.
- Year 7
Expressing multiplicative relationships as ratios and fractions
I can express a multiplicative relationship as a ratio or as a fraction.
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Lesson details
Key learning points
- By expressing the multiplicative relationship as a ratio, it can be easier to scale further.
- The relationship can be represented using a bar model.
- A bar model shows both parts of the ratio as well as the whole.
- A multiplicative relationship can be expressed as a fraction.
- There are many different ways to express the relationship.
Keywords
Proportionality - means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Fraction - shows us how many equal parts in a whole.
Common misconception
Pupils see the bar model and/or fraction as the whole as opposed to the proportion of the whole.
Emphasise equivalent fractions and equivalent bar models which show different parts to whole, but are the same proportion. e.g 3/5 = 60/100
To help you plan your year 7 maths lesson on: Expressing multiplicative relationships as ratios and fractions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Expressing multiplicative relationships as ratios and fractions, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Understanding multiplicative relationships: fractions and ratio unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.If two things are proportional then the ratio of part to whole is maintained and the __________ relationship between parts is also maintained.
Q2.The ratio table shows a recipe for a pizza topping sauce. Complete this statement: Pizza sauce $$\times$$ = Puree.
Q3.The ratio table shows a recipe for a pizza topping sauce. Complete this statement: Garlic $$\times$$ = Puree.
Q4.A bowl of fruit contains apples and bananas. For every 3 apples, there are 5 bananas. There are 15 apples in the bowl. There are bananas in the bowl.
Q5.A box of fruit contains apples and bananas. For every 3 apples, there are 5 bananas. There are 80 pieces of fruit in total. How many bananas are there? bananas.
Q6.Which are equivalent ratios to: "For every 3 circles there are 5 squares."
Assessment exit quiz
6 Questions
Q1.Which are equivalent to this ratio?
Q2.Which are equivalent to this ratio?
Q3.Which are equivalent to this ratio?
Q4.A quantity is divided into two parts: A and B. Match each ratio with the correct fraction.
For every 2 As, there are 3 Bs -
Fraction of A is $$\frac{2}{5}$$
For every 2 As, there are 5 Bs -
Fraction of A is $$\frac{2}{7}$$
For every 2 As, there are 2 Bs -
Fraction of A is $$\frac{1}{2}$$
For every 1 As, there are 2 Bs -
Fraction of A is $$\frac{1}{3}$$
Q5.A quantity is divided into two parts: A and B. Match each ratio with the correct formula.
For every 2 As, there are 3 Bs. -
A $$\times\frac{3}{2} $$ = B
For every 2 As, there are 5 Bs. -
A $$\times\frac{5}{2}$$ = B
For every 2 As, there are 2 Bs. -
A $$\times1 $$ = B
For every 1 As, there are 2 Bs. -
A $$\times2$$ = B
Q6.A quantity is divided into two parts: A and B. Match each fraction with the correct formula to find B.
A is $$\frac{2}{3}$$ -
A $$\times\frac{1}{2} $$ = B
A is $$\frac{3}{5}$$ -
A $$\times\frac{2}{3} $$ = B
A is $$\frac{4}{7}$$ -
A $$\times\frac{3}{4} $$ = B
A is $$\frac{1}{3}$$ -
A $$\times 2 $$ = B