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Students learn how to plot and derive the equation of straight-line graphs in the form y = mx + c. Learning progresses on from this to find the equation of parallel and perpendicular lines in the form ax + by +c = 0.

This unit takes place in Term 3 of Year 9 and is followed by graphical functions.

- 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

- 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.

December 19, 2021

In this lesson, we learn about the length and volume scale factor of 3D shapes and the relationship between them.

December 16, 2021

How to solve simultaneous equations using the substitution method.

December 12, 2021

How to compare datasets using box and whisker diagrams.