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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.

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

June 24, 2019

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out. This is presented to the class as they come into the lesson. Writing Equivalent Ratios A few students immediately go […]