Mathematics lesson packs

Types of number: primes, factors, multiples, rational and irrational

1.1

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Sets, set notation and Venn diagrams

1.2

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Squares, cubes and roots

1.3

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Fractions, decimals and percentages

1.4

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Ordering quantities and inequality symbols

1.5

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The four operations: fractions, negatives and order of operations

1.6

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Indices: the laws of indices

1.7

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Standard form

1.8

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Rounding and estimation

1.9

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Limits of accuracy: upper and lower bounds

1.10

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Ratio and proportion

1.11

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Rates, average speed and best value

1.12

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Percentages: change, reverse percentages

1.13

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Simple and compound interest

1.13

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Using a calculator efficiently

1.14

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Time: 12- and 24-hour clock, time calculations

1.15

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Money and currency conversion

1.16

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Exponential growth and decay

1.17

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Surds: simplifying and rationalising

1.18

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Algebraic notation and substitution

2.1

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Expanding brackets and simplifying

2.2

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Factorising expressions

2.2

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Algebraic fractions

2.3

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Indices II: algebraic and fractional indices

2.4

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Forming and solving linear equations

2.5

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Changing the subject of a formula

2.5

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Simultaneous equations

2.5

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Solving quadratic equations

2.5

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Completing the square

2.2

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Linear inequalities and the number line

2.6

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Inequalities as regions on a graph

2.6

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Sequences and the nth term

2.7

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Quadratic, cubic and exponential sequences

2.7

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Direct and inverse proportion

2.8

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Conversion, distance-time and speed-time graphs

2.9

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Graphs of functions: tables, plotting and tangents

2.10

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Solving equations graphically

2.10

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Sketching curves: roots, intercepts and turning points

2.11

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Differentiation: gradient functions

2.12

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Stationary points

2.12

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Functions: notation, inverse and composite

2.13

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Coordinates and drawing linear graphs

3.2

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Gradient of a straight line

3.3

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Length and midpoint of a line segment

3.4

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The equation of a straight line

3.5

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Parallel lines

3.6

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Perpendicular lines and bisectors

3.7

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Geometrical terms: shapes, solids and nets

4.1

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Ruler and compasses constructions

4.2

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Scale drawings and bearings

4.3

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Similar shapes

4.4

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Areas and volumes of similar shapes

4.4

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Line and rotational symmetry

4.5

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Angles: lines, parallel lines and triangles

4.6

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Angles in polygons

4.6

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Circle theorems I: semicircles and tangents

4.7

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Circle theorems II: centre, segments, cyclic quadrilaterals

4.8

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Units of measure and conversions

5.1

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Area and perimeter of 2D shapes

5.2

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Circles, arcs and sectors

5.3

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Surface area and volume: prisms and cylinders

5.4

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Surface area and volume: cones, pyramids and spheres

5.4

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Compound shapes and parts of shapes

5.5

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Pythagoras' theorem

6.1

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Right-angled trigonometry: SOH CAH TOA

6.2

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Elevation, depression and bearings

6.2

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Exact trigonometric values

6.3

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Graphs of sine, cosine and tangent

6.4

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Solving trigonometric equations

6.4

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The sine rule

6.5

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The cosine rule

6.5

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Area of a triangle: half ab sin C

6.5

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Pythagoras and trigonometry in 3D

6.6

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Reflection and rotation

7.1

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Enlargement and translation

7.1

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Vectors in two dimensions

7.2

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Magnitude of a vector

7.3

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Vector geometry

7.4

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Introduction to probability

8.1

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Relative and expected frequencies

8.2

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Combined events: sample spaces and Venn diagrams

8.3

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Tree diagrams

8.3

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Conditional probability

8.4

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Classifying and interpreting data

9.2

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Averages, range and interquartile range

9.3

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Averages from frequency tables

9.3

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Statistical charts and diagrams

9.4

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Scatter diagrams and correlation

9.5

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Cumulative frequency diagrams

9.6

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Histograms with unequal class widths

9.7

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