Have competency with a ruler and compass to bisect lines and angles, form perpendiculars and construct figures.
Understand polygon and angle properties, such as opposite, alternate and corresponding angles and summation of angles in polygons.
You should be familiar with the co-ordinate axes and use to solve geometrical problems.
You should be able familiar with circle properties, to solve and prove theorems.
Identify between congruency and similarity, apply rotation, reflection, translation and enlargement to polygons and construct these on co-ordinate axes.
Apply Pythagoras theorem to obtain results on angles and lengths of triangles and quadrilaterals.
2. Mensuration and calculation
Understand standard measure units for, length, area, volume, mass, time and money.
You should be able to measure lines and angles in shapes, graphs and bearings
Know and apply the formulae for
- Area of a triangle, parallelogram and a trapezium
- Volume of a cuboid and various prisms
- Circumference of a circle
- Area of a circle
- Surface areas for spheres, pyramids and cones
- Volumes for spheres, pyramids and cones
- Pythagoras’ theorem
- Trigonometric ratios
- Sine and cosine rule
Understand congruence and similarity and their relationships between lengths, areas and volumes of shapes.
Know the exact values of sin, cos and tan, with the angles 0°, 30°, 45°, 60° and 90°.
You should be able to define translations as a 2D vector.
Apply addition, subtraction and scalar multiplication to a vector.
Use vectors for arguments and proofs.