Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other

Checking and securing understanding of inverse proportion graphs

Maths

Checking and securing understanding of direct proportion graphs

In the linear graphs unit, pupils learnt to recognise and interpret graphs that illustrate direct and inverse proportion. In this unit, pupils learn how to represent these relationships algebraically.

In this unit, pupils learn how to represent direct and inverse proportion algebraically as an extension of work done in the linear graphs unit.

Direct and inverse proportion

Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the {{ }} of the other. 

The number of euros exchanged and the number of pounds

The number of sweets and the number of bags of sweets

The number of kilometres travelled and the number of miles travelled

The time taken to build a wall and the number of people

The cost to fill a fuel tank and the size of the tank

Which of the following is an example of inverse proportion?

Which of the following is an equation representing inverse proportion?

will not intersect the $$x$$ and $$y$$ axes.

Which of the following are not true? A graph representing inverse proportion...

The {{ }} the dividend, the closer to the origin the graph will be. 

Which of the following is the graph of $$y={{{2.5}\over{x}}}$$?

If two variables have a constant {{ }} relationship, they are in direct proportion.

Which of the following tables show values of A and B in direct proportion?

Which of the following graphs show direct proportion?

Calculate the value of k (constant of proportionality).

Checking and securing understanding of inverse proportion graphs

Lesson outcome