# Mathematics

## Year 10 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 10 students will have the opportunity to attend an interactive lecture led by 3 exceptional speakers to inspire student’s curiosity in mathematics.

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

## Facilities

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

## 1 Equations and inequalities

1.3 Completing the square
1.4 Solving simple simultaneous equations
1.5 More simultaneous equations
1.6 Solving linear and quadratic simultaneous equations
1.7 Solving linear inequalities

## 2 Probability

2.1 Combined events
2.2 Mutually exclusive events
2.3 Experimental probability
2.4 Independent events and tree diagrams
2.5 Conditional probability
2.6 Venn diagrams and set notation

## 3 Multiplicative reasoning

3.1 Growth and decay
3.2 Compound measures
3.3 More compound measures
3.4 Ratio and proportion

## 4 Similarity and congruence

4.1 Congruence
4.2 Geometric proof and congruence
4.3 Similarity
4.4 More similarity
4.5 Similarity in 3D solids

## 5 More trigonometry

5.1 Accuracy
5.2 Graphs of the sine function
5.3 Graphs of the cosine function
5.4 The tangent function
5.5 Calculating areas and sine rule
5.6 the cosine rule and 2D trigonometry problems
5.7 Solving problems in 3D
5.8 Transforming trigonometric graphs 1
5.9 Transforming trigonometric graphs 2

## 6 Further statistics

6.1 Sampling
6.2 Cumulative frequency
6.3 Box plots
6.4 Drawing histograms
6.5 Interpreting histograms
6.6 Comparing and describing populations

## 7 Equations and graphs

7.1 Solving simultaneous equations graphically
7.2 Representing inequalities graphically
7.5 Graphs of cubic functions

## 8 Circles

8.2 Tangents
8.3 Angles in circles 1
8.4 Angles in circles 2
8.5 Applying circle theorems

## 9 More algebra

9.1 Rearranging formulae
9.2 Algebraic fractions
9.3 Simplifying algebraic fractions
9.4 More algebraic fractions
9.5 Surds
9.6 Solving algebraic fraction equations
9.7 Functions
9.8 Proof