Foundation Tier Unit

Foundation Tier Topics


Higher Tier Unit

Higher Tier Topics

1. Number

BIDMAS, Decimals, Place value, Factors & multiples, Squares, Cubes & roots, Index notation, Prime factors


1. Number

Place value & estimating, HCF & LCM, Calculating with indices, Zero, negative & fractional indices, Powers of 10 & Standard form, Surds

2. Algebra

Algebraic expressions, Simplifying, Substitution, Formulae, Expanding, Factorising,


2. Algebra

Algebraic indices, Expanding & factorising, Equations, Formulae, Linear sequences, Nonlinear sequences

3. Graphs, Tables & Charts

Frequency tables, 2 way tables, Representing data, Time series, Stem & leaf diagrams, Pie charts, Scatter graphs, Lines of best fit


3. Interpreting & Representing Data

Statistical diagrams, Time series, Scatter graphs, Lines of best fit, Averages & range,

4. Fractions & Percentages

Operations with fractions, Multiplying & dividing, Fractions & decimals, Fractions & percentages, Calculating percentages


4. Fractions, Ratios & Percentages

Fractions, Ratios, Ratios & (direct) proportion, Percentages, Fractions, decimals & percentages

5. Equations, inequalities & sequences

Solving equations, Solving with brackets, Inequalities, Using formulae, Generating sequences, n^{th} term


5. Angles & Trigonometry

Angle properties of triangles & quadrilaterals, Interior & exterior angles of polygons, Pythagoras' theorem, Trigonometry

6. Angles

Properties of shapes, Angles in parallel lines, Angles in triangles, Exterior & interior angles, Geometrical Problems


6. Graphs

Linear graphs, Graphing rates of change, Reallife graphs, Line segments, Quadratic graphs, Cubic & reciprocal graphs, More graphs

7. Averages & Range

Mean & range, Mode, median & range, Types of average, Estimating the mean, Sampling


7. Area & Volume

Perimeter & area, Units & accuracy, Prisms, Circles, Sectors of circles, Cylinders & spheres, Pyramids & cones

8. Perimeter, Area & Volume 1

Rectangles, parallelograms & triangles, Trapezia & changing units, Area of compound shapes, Surface area of 3D solids, Volume of prisms


8. Transformations & Constructions

3D solids, Reflection & rotation, Enlargement, Transformations & combinations of transformations, Bearings & scale drawings, Constructions, Loci

9. Graphs

Coordinates, Linear graphs, Gradient, y = mx + c, Real life graphs, Distancetime graphs


9. Equations & Inequalities

Solving quadratic equations, Completing the square, Solving simultaneous equations, Solving linear and quadratic simultaneous equations, Solving linear inequalities

10. Transformations

Translation, Reflection, Rotation, Enlargement, Describing enlargements, Combining transformations


10. Probability

Combined events, Mutually exclusive events, Experimental probability, Independent events & tree diagrams, Conditional probability, Venn diagrams and set notation

11. Ratio & Proportion

Writing ratios, Using ratios, Ratios & measures, Comparing using ratios, Using proportion, Proportion & graphs


11. Multiplicative Reasoning

Growth & decay, Compound measures, Ratio & proportion

12. Right Angled Triangles

Pythagoras’ theorem, Sine ratio, Cosine ratio, Tangent ratio, Finding lengths & angles using trigonometry


12. Similarity & Congruence

Congruence, Geometric proof, Similarity, Similarity in 3D solids

13. Probability

Calculating probability, Two events, Experimental probability, Venn diagrams, Tree diagrams


13. Further Trigonometry

Accuracy (bounds), Trigonometric graphs, Sine rule, Cosine rule, Area rule, 3D trigonometry, Transforming trigonometric graphs

14. Multiplicative Reasoning

Percentages, Growth & decay, Compound measures, Distance, Speed & time, Direct & inverse proportion


14. Further Statistics

Sampling, Cumulative frequency, Box plots, Drawing & interpreting histograms, Describing populations

15. Constructions, loci & bearings

3D solids, Plans & elevations, Accurate drawings, Scale drawings & maps, Constructions, Loci & regions, Bearings


15. Equations & Graphs

Solving simultaneous equations graphically, Quadratic graphs, Solving quadratics graphically, Cubic graphs

16. Quadratic equations & graphs

Expanding double brackets, Plotting quadratic graphs, Using quadratic graphs, Factorising quadratic expressions, Solving quadratic equations algebraically


16. Circle Theorems

Radii & chords, Tangents, Angles in circles, Applying circle theorems

17. Perimeter, Area & Volume 2

Circumference of a circle, Area of a circle, Semicircles & sectors, Composite 2D shapes & cylinders, Pyramids & cones, Spheres & composite solids


17. Further Algebra

Rearranging formulae, Algebraic fractions, Simplifying algebraic fractions, Surds, Solving algebraic fraction equations, Functions, Proof

18. Fractions, Indices & Standard Form

Multiplying & dividing fractions, Laws of indices, Standard form for large & small numbers, Calculating with standard form


18. Vectors & Geometric Proof

Vectors & vector notation, Vector arithmetic, Parallel vectors & collinear points, Solving geometric problems

19. Congruence, similarity & vectors

Similarity & enlargement, Using similarity, Congruence, Vectors


19. Proportion & Graphs

Direct proportion, Inverse proportion, Exponential functions, Nonlinear graphs, Translating graphs of functions, Reflecting & stretching graphs of functions

20. Further Algebra

Graphs of cubic and reciprocal functions, Nonlinear graphs, Solving simultaneous equations graphically & algebraically, Rearranging formulae, Proof



