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Search 1,590 matching topics by subject, domain, and learner age.
Percentages (age 12+)
Ratio & Proportion
Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest
Plotting Linear Graphs
Algebra
Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line
Powers of Ten Notation
Number Representation & Place Value
Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form
Proportion
Ratio & Proportion
Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations
Ratio Notation and Relationships
Ratio & Proportion
Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
Sets & Venn Diagrams
Probability
Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes
Simple formulae
Algebra
Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
Tree diagrams
Probability
Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes
Understanding angles (age 12+)
Geometry
Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and bisecting an angle
Venn Diagrams and Counting Outcomes
Probability
Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to enumerate all possible outcomes of combined events
Estimating answers (age 13+)
Algebra
Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts
Expanding Double Brackets
Algebra
Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
Number Sets & Infinity
Number Representation & Place Value
Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers
Quadratic Graphs
Algebra
Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions
Scatter Graphs
Data & Statistics
Plot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an estimated line of best fit where appropriate
Scatter Graphs & Correlation
Data & Statistics
Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions
Simultaneous Equations
Algebra
Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
Trigonometry basics
Geometry
Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem
Types of angles (age 13+)
Geometry
Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts
Actions and Their Consequences
Responsible Decision-Making
Understand that actions have consequences — that what you choose to do affects both yourself and other people — and begin to think about what might happen before they act
Asking for Help
Friendship & Cooperation
Ask for help when they need it — from a friend, teacher, or family member — and understand that asking for help is a sign of strength, not weakness
Coping with Life Changes
Self-Regulation & Resilience
Understand that change is a normal part of life — such as starting school, getting a new teacher, a new baby arriving, or moving house — and identify simple strategies that help them cope with changes
Everyday Kindness and Care
Empathy & Social Awareness
Show kindness and care towards others in simple everyday ways — comforting a friend who is upset, helping someone who has dropped their things, sharing without being asked, and saying kind words
Everyday Safety Awareness
Responsible Decision-Making
Keep themselves safe in everyday situations — knowing basic safety rules about roads, strangers, water, and the internet — and understanding who their trusted adults are and when to tell them something