Learn // Topics
All topics
1 to 24 of 76 topics
By subject and area, youngest first
Mathematics // Addition & Subtraction
Positive and Negative NumbersUnderstand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a…
Ages 11 to 13RepresentationMathematics // Algebra
Numbers on a number lineUnderstand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same…
Ages 11 to 14RepresentationMathematics // Algebra
Coordinates (age 11+)Plot and read coordinates in all four quadrants of the Cartesian plane, using positive and negative x- and y-values to describe positions precisely
Ages 11 to 12MethodMathematics // Algebra
Algebraic NotationUse and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for…
Ages 11 to 12LanguageMathematics // Algebra
Solving Linear EquationsUse algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on…
Ages 11 to 14MethodMathematics // Algebra
Collecting Like TermsSimplify algebraic expressions by collecting like terms — combine terms with the same variable and power (e.g., 3a + 2b + 5a = 8a + 2b) while maintaining…
Ages 11 to 12MethodMathematics // Algebra
Expanding Single BracketsExpand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers
Ages 11 to 13MethodMathematics // Algebra
Expressions & Equations VocabularyUnderstand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign)…
Ages 11 to 12LanguageMathematics // Algebra
Algebraic TransformationsModel situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic…
Ages 11 to 13RepresentationMathematics // Algebra
Substituting into FormulaeSubstitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and…
Ages 11 to 12MethodMathematics // Algebra
Generating SequencesGenerate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is…
Ages 11 to 14MethodMathematics // Algebra
Linear Function GraphsRecognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical…
Ages 12 to 14ConceptMathematics // Algebra
Plotting Linear GraphsPlot 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…
Ages 12 to 14RepresentationMathematics // Algebra
Simple formulaeUnderstand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable
Ages 12 to 14MethodMathematics // Algebra
Nth-Term RulesFind the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence…
Ages 12 to 14MethodMathematics // Algebra
Factorising ExpressionsFactorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x +…
Ages 12 to 13MethodMathematics // Algebra
Estimating answers (age 13+)Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical…
Ages 13 to 14MethodMathematics // Algebra
Quadratic GraphsRecognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values…
Ages 13 to 14ConceptMathematics // Algebra
Simultaneous EquationsUnderstand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and…
Ages 13 to 14ConceptMathematics // Algebra
Expanding Double BracketsExpand 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
Ages 13 to 14MethodMathematics // Data & Statistics
Comparing measurementsDescribe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range)…
Ages 11 to 13MethodMathematics // Data & Statistics
Pictograms and tally charts (age 11+)Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing…
Ages 11 to 13RepresentationMathematics // Data & Statistics
Scatter GraphsPlot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an…
Ages 13 to 14RepresentationMathematics // Data & Statistics
Scatter Graphs & CorrelationDescribe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best…
Ages 13 to 14Concept