KS4 Curriculum Guide - Year 10 Maths (Higher)
Term 1Expressions, Trigonometry, Angles & Polygons  
Simplifying expressions. Indices. Expanding and factorising. Algebraic fractions. Trigonometric ratios. Use trigonometric ratios to find missing angles and lengths in right-angled triangles and to solve problems. Angles and parallel lines. Properties of, and angles in, triangles and quadrilaterals. Angles in polygons. Congruence and similarity.
Assessment: Test on: Expressions, Calculations 1, Angles and polygonsKey Words and Terms
Term 2Data handling 1 & 2, Fractions, Decimals & Percentages  
Sampling. Organising data. Representing data: pie charts, frequency diagrams, box plots, cumulative frequency graphs, histograms. Averages and spread (including quartiles and the interquartile range). Scatter graphs and correlation, including correlation vs causation. Time series. Fractions and percentages. Calculations with fractions. Converting between fractions, decimals and percentages. Recurring decimals.
Assessment: Test on: T1 topics and Data handling 1 & 2, Fractions, Decimals & PercentagesKey Words and Terms
Term 3Formulae & Functions & Working in 2D (bearings, area and transformations) 
Substitution into a formula and rearranging formulae. Functions, including composite and inverse. Algebraic expressions, identities and formulae. Expanding and factorising double brackets, including difference of two squares. Algebraic fractions. Measuring lengths and angles. Bearings. Area of 2D shapes: triangle, parallelogram, trapezium and compound shapes. Transformations (rotations, reflections, translations and enlargements)
Assessment: Test on: T1 and T2 topics, Formulae & Functions & Working in 2DKey Words and Terms
Term 4Probability, Measures & Accuracy, Compound Measures  
Probability experiments and relative frequency. Theoretical probability. Mutually exclusive events and probability tree diagrams. Estimation and approximation. Efficient use of a calculator. Measures and accuracy, including error intervals and upper and lower bounds. Students will calculate measures of speed, distance, time, density, mass and volume.
Assessment: Test on: All material covered in this term and previous terms. 1 non-calculator paper and 1 calculator paperKey Words and Terms
Term 5Equations & Inequalities, Ratio & Proportion, Factors, Powers & Roots and Circles  
Solving linear equations. Solving quadratic equations using factorisation, completing the square and the quadratic formula. Solving simultaneous equations. Approximate solutions using iterative methods Proportion. Ratio and scales. Percentage change and reverse percentages. Factors and multiples. Powers and roots including laws of indices. Surds. Area and circumference of a circle. Calculating arc lengths and the area of a sector.
Assessment: Test on: T1, T2, T3 and T4 topics and Equations and inequalities, Ratio and proportion, Factors, Powers & Roots.Key Words and Terms
Term 6Year 10 Exams, Approximate solutions and inequalities, Constructions & Loci 
End of year 10 exams. Approximate solutions and iteration. Representing inequalities on a number line and as regions. Solving inequalities. Constructions using a ruler and compass: perpendicular bisector, angle bisector and constructing triangles. Solving problems using loci.
Assessment: Test on: All material covered throughout Year 10. 1 non-calculator paper and 1 calculator paperKey Words and Terms