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Students learn how to create a table of results to plot and recognise the features of a straight line graph in the form y = mx + c. As learning progresses they use graphs to model and solve equations.

This unit takes place in Term 5 of Year 10 and is followed by graphical functions.

- Describe positions on a 2-D grid as coordinates in the first quadrant
- Describe positions on the full coordinate grid (all four quadrants)
- Recognise and describe linear number sequences, including those involving fractions and decimals, and find the term-to-term rule.
- Generate and describe linear number sequences

- Interpret simple expressions as functions with inputs and outputs;
- Work with coordinates in all four quadrants
- Plot graphs of equations that correspond to straight-line graphs in the coordinate plane;
- Use the form y = mx + c to identify parallel lines
- Find the equation of the line through two given points, or through one point with a given gradient
- Identify and interpret gradients and intercepts of linear functions graphically and algebraically

- Students often confuse linear graphs to have the same notation as statistical graphs.
- The gradient can be calculated from any two points along the graph. Not necessarily from the origin.
- A linear function does not have to pass through the origin.
- It is beneficial to create a table of results when plotting a linear function. The coordinate pairs arise from the x and y values.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.