- Understand the multiplicative nature of percentages as operators.
- Use reverse percentages.
- Use compound interest and depreciation.
- Use repeated percentage change.
- Solve compound interest problems.
E Block Lent
GCSE Mathematics
(Edexcel iGCSE Syllabus)
Percentages
Calculations and Compound Measures
- Carry out calculations using standard units of mass, length, area, volume and capacity.
- Understand and carry out calculations using time.
- Conversions involving multiple changes.
- Calculate time intervals in terms of the 24-hour and 12-hour clock.
- Make sensible estimates of a range of measures.
- Understand and use the relationship between average speed, distance and time.
- Use compound measure such as density and pressure.
- Use compound measure involving 3 quantities.
Proportion
- Set up problems involving direct or inverse proportion.
- Relate algebraic solutions to graphical representation of the equations.
Quadratic Equations
- Solve quadratic equations by using the quadratic formula or completing the square.
- Solve simultaneous equations in two unknowns, one equation being linear and the other quadratic.
- Form and solve quadratic equations from multi-stage problems including average speed of a multi-stage journey.
Sequences
- Understand and use common difference and the first term in an arithmetic sequence.
- Find a formula for the nth term of an arithmetic sequence.
- Find the sum of the first n terms of an arithmetic sequence.
- Find n when given Sn.
3D Pythagoras
- Use Pythagora's Theorem in 3 dimensions.
- 3D co-ordinate system, and distance between 2 points in 3-D.
3D Shapes and Units
- Polygons.
- Give informal reasons,where required, when arriving at numerial solutions to geometrical problems.
- Provide reasons, using standard geometrical statements, to support numerical values for angles obtained in any geometrical context involving lines, polygons and circles.
- Convert measurements within the metric system to include linear and area units.
- Recognise and give the names of solids.
- Understand the terms "face","edge" and "vertex" in the context of 3D solids.
- Find the surface area of simple shapes using the area formulae for triangles and rectangles.
- Know and use the formula for the volume of a pyramid of any base.
- Find the surface area of a cylinder.
- Find the volume of prisms, including cuboids and cylinders, using an appropriate formula.
- Convert between units of volume within the metric system.
- Find the surface area and volume ofa sphere and a right circular cone using relevant formulae.
- Shortest path on the surface of a solid (by considering the net).
Tangets and Graphs
- Draw tangents to cubics and quadratic curves and calculate the gradient.
- Recognize, plot and draw cubic graphs (of any form, not necessarily in x and y).
- Sketch factorised or partially factorised cubics.