Throughout this worksheet students will use their knowledge of what it means for two quantities to be in a directly proportional relationship and provides a good stepping stone toward using constants of proportionality and algebraic representations.

In section A students will complete the gaps in tables where y is directly proportional to x, x cubed and the square root of x by using a given value of x and y in each case.
Next, section B asks students to ascertain which tables out of a possible 6 contain values where y is directly proportional to x. This section helps to shine a light on common misconceptions such as the relationship being linked to addition and subtraction.

Learners will plot the graphs of two sets of directly proportional values on pre drawn and labelled axes before considering what is the same and/or different between the graphs.