Paper 4  Calculator (Extended)

1 Review of number concepts

• Multiples and factors, Prime numbers, Integers, Powers, roots and laws of indices, Order of operations, Rounding and estimating

2 Making sense of algebra

• Using letters to represent unknowns, Substitution, Simplifying expressions, Working with brackets, Indices

3 Lines, angles and shapes

• Lines and angles, Triangles, Quadrilaterals, Polygons, Circles, Construction

5 Fractions, percentages and standard form

• Operations on fractions, Percentages, Standard form

Simple and Compund Interest

6 Equations, factors and formulae

• Solving equations, Factorising algebraic expressions, Rearranging formulae

7 Perimeter, area and volume

• Perimeter and area in 2D, Three-dimensional objects, Surface areas and volumes of solids

8 Introduction to probability

• Understanding basic probability, Sample space diagrams, Combining independent and mutually exclusive events

11 Pythagoras' theorem and similar shapes

Pythagoras' theorem

Similarity   ( similar triangles, similar shapes, congruence )

12 Averages and measures of spread

Mean, Median, Mode

• Types of averages, Making comparisons using averages and ranges, Calculating averages and ranges for frequency data, Estimating the mean and finding the modal class for grouped data, Quartiles

13 Understanding measurement

Time

Limits of accuracy - upper and lower bounds

Conversion graphs

Exchanging currencies

14 Further solving of equations and inequalities

Simultaneous linear equations

Linear inequalities

Regions in a plane

Quadratics  (Completing the square, Quadratic formula, Factorising quadratics where the coefficient of x^2 is not 1)

Algebraic fractions

15 Scale drawings, bearings and trigonometry

Scale drawings

Bearings

Trigonometry

• Understanding the tangent, cosine and sine ratios, Exact trigonometric ratios, Solving problems using trigonometry, Sines, cosines and tangents of angles greater than 90°, The sine and cosine rules, Area of a triangle, Trigonometry in 3D

16 Scatter diagrams and correlation

Bivariate data

17 Managing money

• Earning, Borrowing and Investing money, Buying and selling

18 Curved graphs

Non-linear graphs

• Review of quadratic graphs (the parabola), Drawing reciprocal graphs (the hyperbola), Using graphs to solve quadratic equations, Simultaneous linear and non-linear equations, Other non-linear graphs, Finding the gradient of a curve, Derivatives of functions

19 Symmetry

Symmetry    ( Symmetry in 2D and 3D )
Circles           ( Symmetry and Angle relationships in circles )

22 More equations, formulae and functions

Functions 

24 Probability using tree diagrams and Venn diagrams

Probability 

• Calculating probability from tree diagrams and Venn diagrams, Conditional probability