Multiplicative relationships presented graphically | Maths

Starter quiz

$\frac{3}{4}$ and $\frac{9}{12}$ are examples of ______ fractions as they have the same value.
- 'equivalent' ✓
$Select all the fractions that are equivalent to the fraction of this grid that is shaded.$

Select all the fractions that are equivalent to the fraction of this grid that is shaded.
- $\frac{19}{20}$ ✓
- $\frac{19}{100}$
- $\frac{38}{40}$ ✓
- $\frac{76}{80}$ ✓
- $\frac{95}{100}$ ✓
Select the fractions that are equivalent to $\frac{7}{20}$ .
- $\frac{7}{200}$
- $\frac{9}{22}$
- $\frac{14}{40}$ ✓
- $\frac{35}{100}$ ✓
- $\frac{3}{20}$
Match each percentage calculation to its answer.
- 20% of 500
  
  ⇔
  
  100 ✓
- 30% of 870
  
  ⇔
  
  261 ✓
- 10% of 750
  
  ⇔
  
  75 ✓
- 30% of 650
  
  ⇔
  
  195 ✓
- 60% of 940
  
  ⇔
  
  564 ✓
- 5% of 60
  
  ⇔
  
  3 ✓
35% of 980 is ______.
- '343' ✓
99% of 780 is ______.
- '772.2' ✓

Exit quiz

Which of the following are equivalent to 20%?
- 0.2 ✓
- 0.20 ✓
- $\frac{1}{4}$
- $\frac{1}{5}$ ✓
Use the ratio table to help you work out 31% of 860.
- '266.6' ✓
Use the double number line to work out 55% of 700.
- '385' ✓
The amount that represents 100% on this graph is ______.
- '200' ✓
The graph shows the grades achieved by pupils in a maths test. Aisha earned 61 marks in the test. What grade did Aisha achieve?
- A ✓
- B
- C
- D
- E
Match each mark or percentage with the correct information from the graph.
- 34 marks
  
  ⇔
  
  Grade C ✓
- 34%
  
  ⇔
  
  Grade D ✓
- 45 marks
  
  ⇔
  
  Grade B ✓
- 45%
  
  ⇔
  
  Approximately 29 marks ✓
- 60 marks
  
  ⇔
  
  Grade A ✓
- 60%
  
  ⇔
  
  Approximately 40 marks ✓

Worksheet

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Lesson Details

Key learning points

A multiplicative relationship given algebraically can be represented on a graph.
From the graph you it is possible to find one value given another.
From a graph it is possible to describe the multiplicative relationship.

Common misconception

Incorrectly drawing a scaled axis is common.

Use the approach where pupils count the number of intervals of the scale and divide the difference bewteen the intervals. For example, if there are 5 intervals and the difference is between 20 and 30, they divide 10 by 2, so each interval is 2

Keywords

Proportionality - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole.
Equivalent fractions - Two fractions are equivalent if they have the same value