Summer maths: ready for Year 12
Week 1 Expressions
- Expanding, index laws and algebraic fractions
- Factorising quadratics, HCF and difference of squares
- Algebraic proof: even, odd and consecutive numbers
Check week 1
Week 2 Equations
- Solving linear equations and inequations
- Solving quadratic equations by factorising
- Simultaneous equations: elimination and substitution
Check week 2
Week 3 Graphs and methods
- Straight-line graphs, gradient and rate of change
- Optimal solutions: break-even and maximum area
- Choosing mathematical methods for a real problem
Check week 3
Week 4 Triangles
- Pythagoras' theorem in 2D and 3D explained
- Trigonometry: SOH CAH TOA, elevation and 3D
- Similar shapes: scale factors, area and volume
Check week 4
Week 5 Solids and percentages
- Surface area of pyramids, cones and spheres
- Volume of cones, pyramids, spheres and composite solids
- Percentages and fractions in context: change, GST and points
Check week 5
Week 6 Statistics
- Comparing groups: box plots, shift and overlap
- Scatter plots: describing a relationship between two variables
- Interpreting box plots and scatter plots in the 91946 exam
- Is this information any good? Bias, misleading graphs and risk