| Topic |
Title |
| 1 |
Linear Equations: Includes brackets and fractions. |
| 2 |
Straight Line Graphs: Drawing, y=mx+c, gradients, parallel lines. Finding the equation of a plotted line. |
| 3 |
Percentages: Forward and reverse percentages; compound interest (or compound increase/decrease). |
| 4 |
Use of a Calculator. |
| 5 |
Averages and Range: Mean, median, mode and range for discrete and grouped data. |
| 6 |
Approximation and estimation. |
| 7 |
Pythagoras’ Theorem. |
| 8 |
Coordinates: 2D Coordinates: length of a line, midpoint. Length of a line in a 3D shape. |
| 9 |
Simultaneous Equations Part 1: Two linear equations. |
| 10 |
Constructions: Triangles, angle bisector and perpendicular bisector only. |
| 11 |
Sequences: Next two terms of any sequence, nth term of a linear sequence only. |
| 12 |
Circumference and area of a circle. Area of triangle, rectangle, parallelogram, trapezium and kite. |
| 13 |
Ratio. |
| 14 |
Speed and Other Compound Measures. |
| 15 |
Using Graphs: Distance/time graphs and graph interpretation. (Does NOT include trapezium rule and acceleration from speed/time graphs). |
| 16 |
Transformations: Rotation, reflection, translation and enlargement (negative scale factors of enlargement are NOT included); understand that congruent means same shape and size. |
| 17 |
Working with Number: Product of primes, HCF and LCM; indices (includes negative and fractional indices). |
| 18 |
Standard Index Form. |
| 19 |
Cumulative Frequency. |
| 20 |
Decimals and Fractions: Converting a recurring decimal to a fraction by inspection. |
| 21 |
Formula. |
| 22 |
Trigonometry: Finding an angle or side of a right angled triangle; angles of elevation and depression; three figure bearings; angle between a line and a plane in a 3D shape. |
| 23 |
Understanding and Using Measures: Upper and lower bounds. |
| 24 |
Angles, Parallel Lines and Polygons. |
| 25 |
Similar Shapes: Similar lengths, areas and volumes. |
| 26 |
Introduction to Algebra: Simplifying, expanding brackets and factorising. |
| 27 |
Quadratic Equations: Factorising; solving. |
| 28 |
Inequalities: Solving linear and quadratic inequalities; graph and shade linear inequalities. |
| 29 |
Circles and Other Shapes: Arc length and sector area. |
| 30 |
Further Graphs: Plotting difficult cubic, quadratic and reciprocal graphs; graphical solutions; finding the gradient of non-linear graphs by drawing a tangent. |
| 31 |
Circle Properties: Understand the meaning of chord, diameter and tangent; circle theorems, including Intersecting Chord Theorems (both internal and external). (Proofs are not required.) |
| 32 |
Probability: Understand sample space; tree diagrams; conditional probability. |
| 33 |
Further Trigonometry: Sine and cosine rules; area of a non-right angled triangle; understand that angle could be obtuse for sine rule. |
| 34 |
Direct and Inverse Proportion. |
| 35 |
Extending the Number System: Surds (rationalising denominators and simplification); converting a recurring decimal to a fraction using algebraic method. |
| 36 |
Volumes and Surface Areas: Understand the meaning of vertex, face and edge; cylinder; cuboid; prism; cone; sphere; hemisphere. |
| 37 |
Vectors: Includes modulus of a vector. |
| 38 |
Simultaneous Equations Part 2: One linear and one quadratic. |
| 39 |
Algebraic Methods: Simplify algebraic fractions by factorising or adding; solve equations involving algebraic fractions. |
| 40 |
Histograms. |
| 41 |
Set Language and Notation. |
| 42 |
Functions: Notation; Inverse; compound functions; understanding of range; domain and excluded values. |
| 43 |
Differentiation: Finding turning points; type of turning point determined by sight from graph; rates of change; application to distance, velocity and acceleration. (Only (positive or negative) integer powers of x required.) |
The strengths and weaknesses of the students in the groups will largely dictate which topics are covered and the amount of time spent on each. (It may not be possible to cover every topic of the syllabus.)
