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**Scheme of work: GCSE Higher: Year 11: Term 1: Trigonometry – Graphs**

- Know the trigonometric ratios.
- Apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures

- Know the exact values of and for = 0°, 30°, 45°, 60° and 90°;
- Recognise, sketch and interpret graphs of trigonometric functions (with arguments in degrees) y = sin x , y = cos x and y = tan x for angles of any size

- Trigonometric graphs have lines of symmetry that can be used to find additional solutions to equations.
- Trigonometric ratios of 30°, 45° and 60° have exact forms that can be calculated using the special triangles.
- The relationship Tan x¸ = Sin x, Cos x¸ can be seen from the asymptotes in the tan graph

- Students often forget to rationalise Sin45° and Cos45°.
- When solving trigonometric equations students often forget to use the graphs to include all solutions.
- In examinations students often confuse the coordinates, e.g., (0,180) with (180,0)

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.