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

- 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 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.

March 12, 2024

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

March 8, 2024

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

March 7, 2024

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.