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Obtaining, analysing and evaluating results – WJECConstructing a line graph

Under the new GCSE specifications in Wales, practical work in Science will be examined. This unit will help students to prepare for the practical examination.

Part of Physics (Single Science)Practical skills

Constructing a line graph

An empty graph. The y axis is labelled Dependent variable (what is measured). The x axis is labelled Independent variable (what is changed).
  • The independent variable is shown on the \(\text{x}\)-axis and the dependent variable is the \(\text{y}\)-axis.
  • Variable A might be the weight added to a spring (N) and variable B might be the length of the spring (cm).
  • The graph must have linear \(\text{x}\) and \(\text{y}\) axes – each square must go up by a regular amount each time.
  • Each axis must be fully labelled with the correct unit.
  • The graph drawn should be scaled so that it occupies at least half of the graph paper in both directions.
  • The intervals on the \({\text{x}}\) and \(\text{y}\) axes should not go up in 3 s, 6 s, 7 s, or 9 s, use 1 s, 2 s, or 5 s and multiples of these, for example 10 s, 20 s, 40 s, 50 s are good as they are easy to plot and read.
  • Connect the plotted points with a ruler to draw a best line or curve of fit. No dot to dot joining.

The graph gradient

A graph titled Line of best fit gradient. The x axis is labelled Height (cm), the y axis is labelled Weight (kg). A line runs through various points on the graph. The gradient is calculated as 1.2

You might be asked to find the gradient of the line graph to find a quantity such as the spring constant or the acceleration of a vehicle.

To do this you will need to make a large triangle on the graph and find the vertical and horizontal parts of the triangle.

The gradient is the \(\frac{\text{change in vertical amount}}{\text{change in horizontal amount}}\).