## Mathematics

#### Introduction

All students need to be highly numerate and so Maths is at the heart of the Trinity curriculum providing 4 hours per week of curriculum time in every year. Building on the work that is done at junior schools, we set children in Maths from Year 7 and they follow a detailed programme of study during their first three years at the school.

All students will take Maths to GCSE but we do have the option of entering students for the Entry Level Maths qualification should students find the GCSE course particularly challenging.

#### Key Stage 3 (Years 7 & 8)

During the course of Year 7, students cover topics within the six strands of our Mathematics STEPs system. The six strands are:

• Number – number properties & mental computation methods; squares, cubes & roots; sequences
• Ratio & Proportion – meaning of, use of & computation with fractions as well as links to percentages; computation with decimals & links to percentages; introduction to ratio & proportion (& links to fractions & percentages) and their use including the unitary method
• Algebra – expressions, functions & formulae; create & solve problems using equations
• Graphs – linear graphs; coordinate work
• Geometry & Measure – properties of shapes; angle facts & solving problems involving angles; perimeter, area & volume; measurement & constructions using mathematical equipment; transformations
• Statistics & Probability – read, process, interpret & display data; language & calculation of probability

In Year 8 students build on the previous year’s work in all six strands of our Mathematics STEPs system as follows:

• Number – prime factors; rounding; index laws; negative numbers; wok with mixed numbers; rules for sequences
• Ratio & Proportion – convert between fractions, decimals & percentages & relate these skills to proportion
• Algebra – solve more complex equations; work with brackets
• Graphs – real life applications of graphs; extended work on linear graphs;
• Geometry & Measure – work with 3D objects (properties of, nets, plans & elevations, volume); transformations on coordinate grids; loci
• Statistics & Probability – scatter graphs.

#### Key Stage 4 (Years 9, 10 & 11)

There are two levels of entry – Foundation (target grades 1-5) and Higher (target grades 4-9). For each tier students will sit:

• Three papers of 1.5 hours
• Paper 1 – non calculator, Paper 2  and 3 – calculator
• All three papers are equally weighted

The course encourages students to develop confidence in, and a positive attitude towards, mathematics and to recognise the importance of mathematics in their own lives and in society. It also provides a strong mathematical foundation for students who go on to study mathematics at a higher level post-16.

#### Topics covered:

• Number, powers, decimals, HCF & LCM, roots, rounding
• Expressions, substitution, expanding & factorizing
• Drawing & interpreting graphs, tables & charts
• Fractions & percentages
• Equations, inequalities & sequences
• Angles, polygons & parallel lines
• Averages & range, sampling, collecting & analyzing data
• Perimeter, area & volume
• Real life & linear graphs
• Transformations
• Ratio & proportion
• Pythagoras & Trigonometry
• Probability
• Multiplicative reasoning: percentages, rates of change, compound measures
• Constructions: triangles, nets, plans & elevations, loci, scale drawing & bearings
• Quadratic equations & their graphs
• Reciprocals and standard form
• Congruence, similarity & vectors
• Rearranging equations, cubic and reciprocal functions and their graphs, simultaneous equations

#### Additional topics for Higher:

• Surds
• Proof
• Solving problems involving linear graphs
• Equation & graph of a circle
• Area under a curve
• Accuracy & bounds
• Transformations – effects of enlargement on area & volume, negative scale factors
• Solve quadratic equations & inequalities
• Simultaneous equations – one linear, one higher order
• Conditional probability
• Multiplicative reasoning: direct & inverse proportion and their graphs, repeated proportional change
• Similarity & congruence in 2D & 3D
• Pythagoras & Trigonometry in 3D
• Sine rule, Cosine rule and area of a non right-angled triangle
• Trigonometric graphs
• Cumulative frequency
• Histograms
• Binomial expansion
• Circle theorems & circle geometry
• Algebraic fractions
• Functions
• Transformations of graphs