Algebra ยท Geometry ยท Fractions ยท Statistics ยท Ratios
Adding multi-digit numbers, carrying, and word problems.
Variables, expressions and solving equations
Simplifying, multiplying, dividing, adding, and subtracting fractions that contain algebraic expressions.
Types of angles, angle rules, angles in triangles and parallel lines.
Formulas for calculating perimeter and area of common shapes.
Summing arithmetic and geometric sequences, including the sum-to-infinity formula.
Circumference, area, arc length, sector area, and circle theorems.
Constructing perpendicular bisectors, angle bisectors, and triangles with a compass.
Plotting points, midpoint, distance, and gradient in the coordinate plane.
Types of data, sampling methods, surveys, and questionnaire design.
Bar charts, pie charts, histograms, frequency tables, and stem-and-leaf diagrams.
Place value with decimals, comparing, and all four operations.
Understanding when two quantities change together (direct proportion) or in opposite directions (inverse proportion), finding the constant of proportionality, and solving problems.
Short and long division, remainders, and word problems.
Solving one-step and two-step equations by balancing both sides.
Powers, squares, cubes, square roots, and cube roots.
Writing, simplifying, and substituting into algebraic expressions.
HCF, LCM, factor pairs, and prime factorisation.
Operations, equivalence and mixed numbers
Function notation, domain, range, and types of functions.
Shapes, angles, area and perimeter
All six index laws, negative indices, and fractional indices.
Inequality symbols, solving, and graphing on a number line.
Negative numbers, the number line, and operations with integers.
Slope, y-intercept, graphing straight lines, and systems of equations.
Understanding logarithms as inverse operations of exponentiation, the laws of logs, and how to solve logarithmic equations.
Introduction to matrices: order, addition, subtraction, scalar and matrix multiplication, and finding the determinant of a 2x2 matrix.
Calculating averages and measures of spread from data sets.
Metric and imperial units; converting between units of length, mass, and capacity.
Quick calculation strategies, estimation, and number sense.
Calculating profit, loss, simple and compound interest, and budgeting.
Times tables, multi-digit multiplication, and word problems.
Natural, whole, integer, rational, irrational, and real numbers.
Factors, multiples, primes and divisibility
BODMAS/PEMDAS rules and how to evaluate expressions correctly.
Converting between fractions, decimals, and percentages; percentage problems.
Counting arrangements and selections using factorials, permutations (order matters), and combinations (order does not matter).
Understanding ones, tens, hundreds, and reading large numbers.
Polynomial expressions, degree, adding, subtracting, and multiplying polynomials.
Prime vs composite, the sieve of Eratosthenes, and prime factorisation.
Theoretical and experimental probability, tree diagrams, and combined events.
Finding missing sides in right-angled triangles and real-world applications.
Solving quadratics by factorising, completing the square, and the quadratic formula.
Properties of squares, rectangles, parallelograms, rhombuses, trapeziums, and kites.
Ratios, proportions, scaling, and dividing quantities
Rounding to significant figures, decimal places, and estimation strategies.
Correlation, lines of best fit, and interpreting scatter diagrams.
Writing very large and very small numbers using powers of 10.
Arithmetic and geometric sequences, nth term, and pattern rules.
Set notation, union, intersection, complement, and using Venn diagrams to solve problems.
Solving pairs of equations by substitution and elimination.
Measuring how spread out a data set is using variance and standard deviation.
Mean, median, mode, range, and choosing the right average.
Subtracting multi-digit numbers, borrowing, and word problems.
Simplifying, adding, multiplying, and rationalising surds โ exact square roots that cannot be written as fractions.
Surface area and volume of prisms, cylinders, pyramids, cones, and spheres.
Lines of symmetry, rotational symmetry, and order of rotational symmetry.
Reading clocks, time conversions, 12-hour vs 24-hour, and calculating durations.
Translations, reflections, rotations, and enlargements on a coordinate grid.
Types of triangles, properties, congruence, and similarity.
Sine, cosine, tangent ratios and solving right-angled triangles.
Vector notation, addition, subtraction, scalar multiplication, and magnitude.
Translating real-world situations into equations and solving multi-step problems.