Lessons
Mathematics · 10 topics · 21 lessons
Integers, prime factorisation, HCF, LCM, index laws, standard form, estimation, upper and lower bounds.
Fraction operations, recurring decimals, percentage change, reverse percentages, ratio, direct and inverse proportion.
Expanding brackets, factorising, algebraic fractions, solving linear equations, rearranging formulae, inequalities.
Factorising and solving quadratics, quadratic formula, completing the square, simultaneous equations, function notation.
Linear and quadratic sequences, nth term rules, plotting and interpreting graphs of linear, quadratic, cubic and reciprocal functions.
Angle properties, polygon angles, circle theorems, similarity, congruence and scale factors.
Angles and Polygons
Parallel line angles · Interior and exterior angles of polygons · Properties of quadrilaterals
Circle Theorems
Angle at centre theorem · Angle in semicircle · Cyclic quadrilateral · Tangent properties
Similarity and Congruence
Similar shapes and scale factors · Area and volume scale factors · Congruent triangles
Area and perimeter of 2D shapes, circles, sectors, surface area and volume of 3D solids.
SOH CAH TOA, Pythagoras' theorem, angles of elevation and depression, sine rule, cosine rule, area of a triangle.
Column vectors, magnitude, vector addition, position vectors, translations, reflections, rotations and enlargements.
Mean, median, mode from frequency tables, cumulative frequency, quartiles, box plots, histograms, probability, tree diagrams, Venn diagrams.