Maths — Good Learning Co.

Unit 1

Ratio and proportion

Share quantities, scale recipes and compare rates.

3 lessons

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

Percentages and data

Percentage change, averages and reading real datasets.

3 lessons

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

Algebra: expressions and equations

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

4 lessons

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

Number sense

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

8 lessons

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

Unit 5

Algebraic modelling

Turning real situations into expressions and formulae.

1 lessons

0 of 1 done

What this unit covers

ma-a-7

1Turning real situations into algebra27 min · ★★ · 3 quick checksStart →

Unit 6

Scale and maps

Using scale factors and scale diagrams to represent real distances.

1 lessons

0 of 1 done

What this unit covers

ma-r-6

1Scale factors and scale diagrams24 min · ★★ · 3 quick checksStart →

Unit 7

Shape and space

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

6 lessons

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

Unit 8

Probability

Experimental probability, the probability scale, and systematic listing.

3 lessons

0 of 3 done

What this unit covers

ma-p-1
ma-p-2
ma-p-3

Unit 9

Statistics

Scatter graphs and correlation between two variables.

1 lessons

0 of 1 done

What this unit covers

ma-s-3

1Scatter graphs and correlation24 min · ★★ · 3 quick checksStart →

Unit 10

Number, algebra and geometry: connected foundations

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

9 lessons

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

Unit 11

Number, powers and accuracy

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

3 lessons

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

Algebraic reasoning

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

3 lessons

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

Ratio, proportion and rates of change

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

5 lessons

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

Unit 14

Shape, probability and data

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

5 lessons

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

Unit 15

GCSE maths: number, accuracy and standard form

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

2 lessons

0 of 2 done

What this unit covers

Apply number operations, accuracy and standard form to solve GCSE-style problems.

Unit 16

GCSE maths: algebra and graphs

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

3 lessons

0 of 3 done

What this unit covers

Manipulate algebraic expressions, solve equations and interpret graphs of functions.

Unit 17

GCSE maths: geometry, Pythagoras and trigonometry

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

3 lessons

0 of 3 done

What this unit covers

Reason geometrically and calculate lengths, angles, areas and volumes.

Unit 18

GCSE maths: ratio, probability and statistics

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

2 lessons

0 of 2 done

What this unit covers

Use proportional reasoning, probability and statistics to interpret and solve problems.

Unit 19

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.

4 lessons

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