New
New
Year 8

Multiplicative relationships presented graphically

I can use a graph to represent a multiplicative relationship and connect to other known representations.

New
New
Year 8

Multiplicative relationships presented graphically

I can use a graph to represent a multiplicative relationship and connect to other known representations.

Lesson details

Key learning points

  1. A multiplicative relationship given algebraically can be represented on a graph.
  2. From the graph you it is possible to find one value given another.
  3. 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

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).

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6 Questions

Q1.
$$\frac{3}{4}$$ and $$\frac{9}{12}$$ are examples of fractions as they have the same value.
Correct Answer: equivalent, Equivalent
Q2.
Select all the fractions that are equivalent to the fraction of this grid that is shaded.
An image in a quiz
Correct answer: $$\frac{19}{20}$$
$$\frac{19}{100}$$
Correct answer: $$\frac{38}{40}$$
Correct answer: $$\frac{76}{80}$$
Correct answer: $$\frac{95}{100}$$
Q3.
Select the fractions that are equivalent to $$\frac{7}{20}$$.
$$\frac{7}{200}$$
$$\frac{9}{22}$$
Correct answer: $$\frac{14}{40}$$
Correct answer: $$\frac{35}{100}$$
$$\frac{3}{20}$$
Q4.
Match each percentage calculation to its answer.
Correct Answer:20% of 500,100

100

Correct Answer:30% of 870,261

261

Correct Answer:10% of 750,75

75

Correct Answer:30% of 650,195

195

Correct Answer:60% of 940,564

564

Correct Answer:5% of 60,3

3

Q5.
35% of 980 is .
Correct Answer: 343
Q6.
99% of 780 is .
Correct Answer: 772.2

6 Questions

Q1.
Which of the following are equivalent to 20%?
Correct answer: 0.2
Correct answer: 0.20
$$\frac{1}{4}$$
Correct answer: $$\frac{1}{5}$$
Q2.
Use the ratio table to help you work out 31% of 860.
An image in a quiz
Correct Answer: 266.6
Q3.
Use the double number line to work out 55% of 700.
An image in a quiz
Correct Answer: 385
Q4.
The amount that represents 100% on this graph is .
An image in a quiz
Correct Answer: 200, two hundred
Q5.
The graph shows the grades achieved by pupils in a maths test. Aisha earned 61 marks in the test. What grade did Aisha achieve?
An image in a quiz
Correct answer: A
B
C
D
E
Q6.
Match each mark or percentage with the correct information from the graph.
An image in a quiz
Correct Answer:34 marks,Grade C

Grade C

Correct Answer:34%,Grade D

Grade D

Correct Answer:45 marks,Grade B

Grade B

Correct Answer:45%,Approximately 29 marks

Approximately 29 marks

Correct Answer:60 marks,Grade A

Grade A

Correct Answer:60%,Approximately 40 marks

Approximately 40 marks