Linear Graphs

March 12, 2023

Scheme of work: GCSE Foundation: Year 10: Term 5: Linear Graphs

Prerequisite Knowledge

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

Success Criteria

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

Key Concepts

The gradient measures the rate of vertical change divided by horizontal change.
Parallel lines have the same gradient
The intercept always has the x value equal zero.

Common Misconceptions

Students often confuse linear graphs with having 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.

Linear Graphs Resources

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