Year 8
Maths
Number, ratio, algebra and data
Unit 1 of 27
Ratio and proportion
Share quantities, scale recipes and compare rates.
0 of 3 done
What this unit covers
- Use ratio notation and simplify ratios
- Divide a quantity in a given ratio
- Solve problems involving direct proportion
Unit 2 of 27
Percentages and data
Percentage change, averages and reading real datasets.
0 of 3 done
What this unit covers
- Calculate percentage increase and decrease
- Interpret data presented in charts
- Compare distributions using the mean and range
Unit 3 of 27
Algebra: expressions and equations
Write, simplify and solve — the language behind every formula.
0 of 4 done
What this unit covers
- Simplify and manipulate algebraic expressions
- Solve linear equations in one variable
- Substitute values into formulae
Unit 4 of 27
Number sense
Place value, ordering, calculation, order of operations, factors, powers, standard form and rounding.
0 of 8 done
What this unit covers
- ma-n-1
- ma-n-2
- ma-n-3
- ma-n-4
- ma-n-5
- ma-n-6
- ma-n-7
- ma-n-9
- 1Place value with big and small numbersFilm3 checks25 min · ★Start →
- 2Ordering integers, decimals and fractionsFilm3 checks22 min · ★Start →
- 3Written methods with fractions and decimalsFilm3 checks28 min · ★★Start →
- 4Order of operations with powers and rootsFilm3 checks24 min · ★★Start →
- 5Primes, factors, multiples, HCF and LCMFilm3 checks26 min · ★★Start →
- 6Powers, roots and rounded decimalsFilm3 checks25 min · ★★Start →
- 7Standard form for very large and small numbersFilm3 checks26 min · ★★★Start →
- 8Rounding and estimating to check answersFilm3 checks22 min · ★Start →
Unit 5 of 27
Algebraic modelling
Turning real situations into expressions and formulae.
0 of 1 done
What this unit covers
- ma-a-7
Unit 6 of 27
Scale and maps
Using scale factors and scale diagrams to represent real distances.
0 of 1 done
What this unit covers
- ma-r-6
Unit 7 of 27
Shape and space
Area, volume, angle reasoning, polygons, congruence, similarity, construction and Pythagoras.
0 of 6 done
What this unit covers
- ma-g-1
- ma-g-2
- ma-g-3
- ma-g-4
- ma-g-5
- ma-g-6
- 1Area of triangles, parallelograms and trapezia, and volume of cuboidsFilm3 checks28 min · ★★Start →
- 2Angles at a point, on a line and in parallel linesFilm3 checks24 min · ★★Start →
- 3Angle sums in triangles and polygonsFilm3 checks25 min · ★★Start →
- 4Congruent triangles and similar shapesFilm3 checks26 min · ★★Start →
- 5Geometric language, sketching and constructionFilm3 checks22 min · ★Start →
- 6Pythagoras' theoremFilm3 checks27 min · ★★★Start →
Unit 8 of 27
Probability
Experimental probability, the probability scale, and systematic listing.
0 of 3 done
What this unit covers
- ma-p-1
- ma-p-2
- ma-p-3
Unit 9 of 27
Statistics
Scatter graphs and correlation between two variables.
0 of 1 done
What this unit covers
- ma-s-3
Unit 10 of 27
Number, algebra and geometry: connected foundations
A nine-chapter textbook unit that builds fluency, reasoning and problem-solving across three essential strands.
0 of 9 done
What this unit covers
- Use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals
- Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
- Substitute numerical values into formulae and expressions, including scientific formulae
- Simplify and manipulate algebraic expressions by collecting like terms, multiplying a single term over a bracket and factorising into a single bracket
- Use algebraic methods to solve linear equations in one variable, including all forms that require rearrangement
- Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
- Apply the properties of angles at a point, on a straight line, vertically opposite angles, and angles in parallel lines
- Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon
- Use Pythagoras' theorem to solve problems involving right-angled triangles
- 1Chapter 1: Operations, powers and rootsFilm3 checks28 min · ★★Start →
- 2Chapter 2: Fractions, decimals and percentagesFilm3 checks30 min · ★★Start →
- 3Chapter 3: Substitution and formulaeFilm3 checks28 min · ★★Start →
- 4Chapter 4: Expressions: expand, collect and factoriseFilm3 checks32 min · ★★Start →
- 5Chapter 5: Solving linear equationsFilm3 checks32 min · ★★Start →
- 6Chapter 6: Coordinates and straight-line graphsFilm3 checks32 min · ★★Start →
- 7Chapter 7: Angle facts and parallel linesFilm3 checks30 min · ★★Start →
- 8Chapter 8: Triangles and polygonsFilm3 checks30 min · ★★Start →
- 9Chapter 9: Pythagoras and geometric proofFilm3 checks32 min · ★★★Start →
Unit 11 of 27
Number, powers and accuracy
Powers and roots, moving between fractions, decimals and percentages, and rounding, estimating and checking with confidence.
0 of 3 done
What this unit covers
- Use integer powers and associated real roots, recognise powers of 2, 3, 4 and 5, and distinguish between exact representations and truncated or rounded decimals
- Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
- Round numbers and measures to an appropriate degree of accuracy and use approximation to check answers
Unit 12 of 27
Algebraic reasoning
Manipulating expressions, solving equations that need rearranging, and reading meaning from straight-line graphs.
0 of 3 done
What this unit covers
- Simplify and manipulate algebraic expressions by collecting like terms, multiplying a single term over a bracket and factorising into a single bracket
- Use algebraic methods to solve linear equations in one variable, including all forms that require rearrangement
- Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
Unit 13 of 27
Ratio, proportion and rates of change
Sharing in a ratio, percentage change and original values, direct and inverse proportion, compound measures and scale.
0 of 5 done
What this unit covers
- Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division of a quantity into two parts as a ratio
- Solve problems involving percentage change, including percentage increase and decrease and original value problems
- Solve problems involving direct and inverse proportion, including graphical and algebraic representations
- Use compound units such as speed, unit pricing and density to solve problems
- Use scale factors, scale diagrams and maps
- 1Sharing in a ratioFilmWorked example4 checks28 min · ★★★Start →
- 2Percentage change and original valuesFilmWorked example4 checks30 min · ★★★Start →
- 3Direct and inverse proportionFilmWorked example4 checks30 min · ★★★Start →
- 4Compound measures: speed, density and ratesFilmWorked example4 checks28 min · ★★★Start →
- 5Scale factors, drawings and mapsFilmWorked example4 checks28 min · ★★★Start →
Unit 14 of 27
Shape, probability and data
Polygon angle reasoning, congruence and enlargement, probability that sums to one, systematic listing, and comparing distributions.
0 of 5 done
What this unit covers
- Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon
- Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
- Understand that the probabilities of all possible outcomes sum to 1
- Enumerate sets and combinations of sets systematically, using tables, grids and Venn diagrams
- Describe, interpret and compare observed distributions of a single variable through appropriate measures of central tendency and spread
- 1Angles in triangles and polygonsFilmWorked example4 checks30 min · ★★★Start →
- 2Congruence, similarity and enlargementFilmWorked example4 checks30 min · ★★★Start →
- 3Probability that adds to oneFilmWorked example4 checks28 min · ★★★Start →
- 4Listing outcomes with tables, grids and Venn diagramsFilmWorked example4 checks28 min · ★★★Start →
- 5Comparing distributions: averages and spreadFilmWorked example4 checks30 min · ★★★Start →
Unit 15 of 27
GCSE maths: number, accuracy and standard form
Prime factorisation, HCF and LCM, rounding and bounds, and calculating confidently in standard form.
0 of 2 done
What this unit covers
- Apply number operations, accuracy and standard form to solve GCSE-style problems.
Unit 16 of 27
GCSE maths: algebra and graphs
Expanding and factorising, solving linear, simultaneous and quadratic equations, and interpreting straight-line and curved graphs.
0 of 3 done
What this unit covers
- Manipulate algebraic expressions, solve equations and interpret graphs of functions.
Unit 17 of 27
GCSE maths: geometry, Pythagoras and trigonometry
Angle reasoning and proof, area and volume of common solids, and using Pythagoras and the trigonometric ratios.
0 of 3 done
What this unit covers
- Reason geometrically and calculate lengths, angles, areas and volumes.
Unit 18 of 27
GCSE maths: ratio, probability and statistics
Proportional reasoning and compound measures, probability with tree and Venn diagrams, and interpreting statistical data critically.
0 of 2 done
What this unit covers
- Use proportional reasoning, probability and statistics to interpret and solve problems.
Unit 19 of 27
Year 9 Maths: standard form, modelling and Pythagoras
Very large and very small numbers, turning situations into formulae, right-angled triangles, and describing relationships in data.
0 of 4 done
What this unit covers
- Interpret and compare numbers in standard form A x 10^n
- Model situations or procedures by translating them into algebraic expressions or formulae
- Use Pythagoras' theorem to solve problems involving right-angled triangles
- Describe simple mathematical relationships between two variables in observational and experimental contexts and illustrate using scatter graphs
Unit 20 of 27
Number, powers and accuracy
Powers and roots, swapping between fractions, decimals and percentages, and rounding and estimating to check your own work.
0 of 3 done
What this unit covers
- Use integer powers and associated real roots, recognise powers of 2, 3, 4 and 5, and distinguish between exact representations and truncated or rounded decimals
- Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
- Round numbers and measures to an appropriate degree of accuracy and use approximation to check answers
Unit 21 of 27
Algebraic reasoning
Simplifying and factorising expressions, solving equations that need rearranging, and reading straight-line graphs.
0 of 3 done
What this unit covers
- Simplify and manipulate algebraic expressions by collecting like terms, multiplying a single term over a bracket and factorising into a single bracket
- Use algebraic methods to solve linear equations in one variable, including all forms that require rearrangement
- Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
Unit 22 of 27
Ratio, proportion and rates
Sharing in a ratio, percentage change and original values, direct and inverse proportion, compound measures and scale.
0 of 5 done
What this unit covers
- Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division of a quantity into two parts as a ratio
- Solve problems involving percentage change, including percentage increase and decrease and original value problems
- Solve problems involving direct and inverse proportion, including graphical and algebraic representations
- Use compound units such as speed, unit pricing and density to solve problems
- Use scale factors, scale diagrams and maps
- 1Sharing in a ratioFilm4 checksExit quiz30 min · ★★★Start →
- 2Percentage change and original valuesFilm4 checksExit quiz30 min · ★★★Start →
- 3Direct and inverse proportionFilm4 checksExit quiz30 min · ★★★Start →
- 4Speed, density and unit pricingFilm4 checksExit quiz30 min · ★★★Start →
- 5Scale drawings, maps and scale factorsFilm4 checksExit quiz30 min · ★★★Start →
Unit 23 of 27
Angles, congruence and similarity
Angle sums in triangles and any polygon, proving triangles congruent, and enlarging shapes by a scale factor.
0 of 2 done
What this unit covers
- Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon
- Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
Unit 24 of 27
Probability and data
Probabilities that sum to one, listing outcomes without missing any, and comparing distributions properly.
0 of 3 done
What this unit covers
- Understand that the probabilities of all possible outcomes sum to 1
- Enumerate sets and combinations of sets systematically, using tables, grids and Venn diagrams
- Describe, interpret and compare observed distributions of a single variable through appropriate measures of central tendency and spread
Unit 25 of 27
Animal data handling
Presenting and comparing wildlife data properly, using the statistics work of the KS3 programme of study.
0 of 2 done
What this unit covers
- Construct and interpret appropriate tables, charts and diagrams, including bar charts, pie charts and pictograms for categorical data, and vertical line charts for ungrouped discrete numerical data
- Describe, interpret and compare observed distributions of a single variable through appropriate measures of central tendency and spread
Unit 26 of 27
Working out value in a real shop
Sale prices, offers that only look cheap, price per 100 g, and splitting a bill fairly.
0 of 2 done
What this unit covers
- ma-n-8
- ma-r-5
Unit 27 of 27
The maths behind the money
Percentages of money, interest, discounts, original-value problems, unit pricing and compound growth.
0 of 4 done
What this unit covers
- ma-n-8
- ma-r-3
- ma-r-5
- ma-a-2
- 1Percentages of money you can do in your headFilm4 checksExit quiz30 min · ★★★Start →
- 2Percentage change: interest, discounts and original pricesFilm4 checksExit quiz30 min · ★★★Start →
- 3Unit pricing and value for moneyFilm4 checksExit quiz30 min · ★★★Start →
- 4Compound interest with a formulaFilm4 checksExit quiz30 min · ★★★Start →