Pyramids 10.04c Calculate the surface area and volume of a pyramid (the formula area of base × height will be given). 10.05 Triangle mensuration 10.05a Know, derive and apply Apply theorem in Pythagoras’ Pythagoras’ theorem to find more complex figures, including theorem Pythagoras’ lengths in right-angled triangles in 3D figures. 2D figures. 10.05b Trigonometry in Know and apply the trigonometric Apply the trigonometry of ratios, sinθ, cosθ and tanθ and triangles in more right-angled apply them to find angles and complex figures, including 3D triangles lengths in right-angled triangles in figures. 2D figures. [see also Similar shapes, 9.04c] Exact 10.05c Know the exact values of sinθ and cosθ for = 0°, 30°, 45°, 60° trigonometric ratios θ and 90°. Know the exact value of tanθ for = 0°, 30°, 45° and 60°. θ 10.05d Sine rule Know and apply the sine rule,, to find lengths and angles. 10.05e Cosine rule Know and apply the cosine rule,, to find lengths and angles.
10.04c Pyramids Calculate the surface area and volume of a pyramid (the formula area of base × height will be given). 10.05 Triangle mensuration 10.05a Pythagoras’ theorem Know, derive and apply Pythagoras’ theorem to find lengths in right-angled triangles in 2D figures. Apply Pythagoras’ theorem in more complex figures, including 3D figures. 10.05b Trigonometry in right-angled triangles Know and apply the trigonometric ratios, sinθ, cosθ and tanθ and apply them to find angles and lengths in right-angled triangles in 2D figures. [see also Similar shapes, 9.04c] Apply the trigonometry of triangles in more complex figures, including 3D figures. 10.05c Exact trigonometric ratios Know the exact values of sinθ and cosθ for θ = 0°, 30°, 45°, 60° and 90°. Know the exact value of tanθ for θ = 0°, 30°, 45° and 60°. 10.05d Sine rule Know and apply the sine rule,, to find lengths and angles. 10.05e Cosine rule Know and apply the cosine rule,, to find lengths and angles.