Here's an approximate sequence:
Prior knowledge required
(easily takes 3 weeks+ yr 10 with a weak group filling gaps)
- Notation for parallel and perpendicular sides
- Perimeter of Rectangles, Squares, Triangles (with all sides given)
- Area of Rectangles & Squares, Triangles (with all sides given)
- Circumference and Area of circles
- Area of Trapezium, Sectors
- Area of Composite Shapes (with all lengths given)
- Area of Composite shapes (finding missing sides using subtraction)
- Area of Composite shapes (using ratios of the area of known shapes to find area eg. 1/2 circle)
- Arc length
- Pythagoras, Trigonometric ratios
- Area of Composite shapes (using Pythagoras & Trigonometric ratios to find missing sides)
- Identifying 3D shapes (cylinders, spheres, pyramids & prisms)
- Constructing 3D shapes using Nets (cylinders, pyramids and prisms)
- Identifying cross sections of 3D shapes
- Finding the area of cross sections of 3D shapes
- Finding the surface area of simple 3D shapes using defined formula (cylinders, spheres, pyramids and prisms)
- Using surface area of simple 3D to solve composite surface area problems (and using subtraction to subtract shared hidden sides)
- Deconstructing 3D shapes into constituent 2D shapes
- Finding the surface area of composite 3D shapes using deconstruction and 2D shapes
- Finding surface area of simple 3D shapes that have had sections removed using ratios
- Finding the surface area of composite shapes using simple 3D shapes, deconstruction and ratios.
- Using Pythagoras and Trigonometry with planes in 3D shapes to find surface area
It's a big topic!
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