# Mathematics

## Year 8 Mathematics

Mathematics equips pupils with a powerful set of tools to understand and change the world. These tools include logical reasoning, problem solving skills and the ability to think in abstract ways. Thorpe House School Mathematics Department will provide for every boy an opportunity to benefit from mathematical experiences, which will help them acquire the skills and understanding required for other subjects studied and in everyday life. It reflects the essential part that mathematics plays in education.

## Enrichment

Year 8 students will have the opportunity to go and visit the new Winton gallery and Wonderlab based in the Science Museum, which tells the story of how mathematics has shaped our world.

Students will also have the opportunity to compete in the UK Junior Maths Challenge (UKMT).

## Facilities

Our Mathematics classroom has been designed with large white boards around the room to encourage studentâ€™s enthusiasm about maths in a more practical way. Laptops and Ipads are used on a regular basis to enhance studentâ€™s understanding of each topic.

## 1 Indices and standard form

1.1 Indices
1.2 Calculations and estimates
1.3 More indices
1.4 Standard form

## 2 Expressions and formulae

2.1 Solving equations
2.2 Substituting into expressions
2.3 Writing and using formulae
2.4 Using and rearranging formulae
2.5 Index laws and brackets
2.6 Expanding double brackets

## 3 Dealing with data

3.1 Planning a survey
3.2 Collecting data
3.3 Calculating averages
3.4 Displaying and analysing data
3.5 Presenting and comparing data

## 4 Multiplicative reasoning

4.1 Enlargement
4.2 Negative and fractional scale factors
4.3 Percentage change
4.4 Compound measures
4.5 Direct and inverse proportion

## 5 Constructions

5.1 Using scales
5.2 Basic constructions
5.3 Constructing triangles
5.4 Using accurate scale diagrams

## 6 Sequences, inequalities, equations and proportion

6.1 nth term of arithmetic sequences
6.2 Non-linear sequences
6.3 Inequalities
6.4 Solving equations
6.5 Proportion

## 7 Circles, Pythagoras and prisms

7.1 Circumference of a circle
7.2 Area of a circle
7.3 Pythagoras' theorem
7.4 Prisms and cylinders
7.5 Errors and bounds

## 8 Graphs

8.1 Using y = mx + c
8.2 More straight-line graphs
8.3 Simultaneous equations
8.5 More non-linear graphs

## 9 Probability

9.1 Mutually exclusive events
9.2 Experimental and theoretical probability
9.3 Sample space diagrams
9.4 Two-way tables
9.5 Venn diagrams

## 10 Comparing shapes

10.1 Congruent and similar shapes
10.2 Ratios in triangles
10.3 The tangent ratio
10.4 The sine ratio
10.5 The cosine ratio
10.6 Using trigonometry to find angles