Maths

Share quantities, scale recipes and compare rates.

1. 1Sharing in a given ratio20 min
2. 2Direct proportion and rates25 min
3. 3Direct proportion and best value25 min

Percentage change, averages and reading real datasets.

1. 1Percentage increase and decrease25 min
2. 2Percentage increase and decrease25 min
3. 3Averages, range and honest charts30 min

Write, simplify and solve — the language behind every formula.

1. 1Simplifying expressions25 min
2. 2Solving linear equations30 min
3. 3Straight-line graphs and coordinates30 min
4. 4Sequences and nth-term rules28 min

Place value, ordering, calculation, order of operations, factors, powers, standard form and rounding.

1. 1Place value with big and small numbers25 min
2. 2Ordering integers, decimals and fractions22 min
3. 3Written methods with fractions and decimals28 min
4. 4Order of operations with powers and roots24 min
5. 5Primes, factors, multiples, HCF and LCM26 min
6. 6Powers, roots and rounded decimals25 min
7. 7Standard form for very large and small numbers26 min
8. 8Rounding and estimating to check answers22 min

Turning real situations into expressions and formulae.

1. 1Turning real situations into algebra27 min

Using scale factors and scale diagrams to represent real distances.

1. 1Scale factors and scale diagrams24 min

Area, volume, angle reasoning, polygons, congruence, similarity, construction and Pythagoras.

1. 1Area of triangles, parallelograms and trapezia, and volume of cuboids28 min
2. 2Angles at a point, on a line and in parallel lines24 min
3. 3Angle sums in triangles and polygons25 min
4. 4Congruent triangles and similar shapes26 min
5. 5Geometric language, sketching and construction22 min
6. 6Pythagoras' theorem27 min

Experimental probability, the probability scale, and systematic listing.

1. 1Experimental probability from real trials23 min
2. 2The probability scale and summing to 120 min
3. 3Listing outcomes with tables and Venn diagrams25 min

Scatter graphs and correlation between two variables.

1. 1Scatter graphs and correlation24 min

A nine-chapter textbook unit that builds fluency, reasoning and problem-solving across three essential strands.

1. 1Chapter 1: Operations, powers and roots28 min
2. 2Chapter 2: Fractions, decimals and percentages30 min
3. 3Chapter 3: Substitution and formulae28 min
4. 4Chapter 4: Expressions: expand, collect and factorise32 min
5. 5Chapter 5: Solving linear equations32 min
6. 6Chapter 6: Coordinates and straight-line graphs32 min
7. 7Chapter 7: Angle facts and parallel lines30 min
8. 8Chapter 8: Triangles and polygons30 min
9. 9Chapter 9: Pythagoras and geometric proof32 min

Powers and roots, moving between fractions, decimals and percentages, and rounding, estimating and checking with confidence.

1. 1Powers, roots and exact values30 min
2. 2Fractions, decimals and percentages in one system30 min
3. 3Rounding, estimating and checking28 min

Manipulating expressions, solving equations that need rearranging, and reading meaning from straight-line graphs.

1. 1Expressions: collecting, expanding and factorising30 min
2. 2Solving equations that need rearranging32 min
3. 3Straight-line graphs and what they mean30 min

Sharing in a ratio, percentage change and original values, direct and inverse proportion, compound measures and scale.

1. 1Sharing in a ratio28 min
2. 2Percentage change and original values30 min
3. 3Direct and inverse proportion30 min
4. 4Compound measures: speed, density and rates28 min
5. 5Scale factors, drawings and maps28 min

Polygon angle reasoning, congruence and enlargement, probability that sums to one, systematic listing, and comparing distributions.

1. 1Angles in triangles and polygons30 min
2. 2Congruence, similarity and enlargement30 min
3. 3Probability that adds to one28 min
4. 4Listing outcomes with tables, grids and Venn diagrams28 min
5. 5Comparing distributions: averages and spread30 min

Prime factorisation, HCF and LCM, rounding and bounds, and calculating confidently in standard form.

1. 1Prime factorisation, HCF and LCM30 min
2. 2Rounding, bounds and standard form30 min

Expanding and factorising, solving linear, simultaneous and quadratic equations, and interpreting straight-line and curved graphs.

1. 1Expanding, factorising and algebraic proof30 min
2. 2Linear, simultaneous and quadratic equations30 min
3. 3Straight lines, curves and sequences30 min

Angle reasoning and proof, area and volume of common solids, and using Pythagoras and the trigonometric ratios.

1. 1Angle reasoning, polygons and similarity30 min
2. 2Area, surface area and volume30 min
3. 3Pythagoras and trigonometry30 min

Proportional reasoning and compound measures, probability with tree and Venn diagrams, and interpreting statistical data critically.

1. 1Ratio, proportion and compound measures30 min
2. 2Probability and interpreting statistics30 min

Very large and very small numbers, turning situations into formulae, right-angled triangles, and describing relationships in data.

1. 1Standard form: very big and very small30 min
2. 2Modelling with expressions and formulae30 min
3. 3Pythagoras' theorem30 min
4. 4Scatter graphs and correlation30 min