### Welcome to the GCSE Math Lessons!

**Use the cards below to select specific GCSE math lessons and exam papers or follow the carefully planned out Maths Target curriculum.(To pause the movement of the lesson cards simply hover over or click on them.)**

### Lesson 2

Fractions

**What are fractions?****Useful table of fractions****How to add, subtract, multiply and divide fractions?**

### Lesson 3

Percentages

**What are percentages?****How to work out the percentage of a number?****How to work out compound interest rates?**

### Lesson 5

Indices

**What are indices?****How to work with positive and negative powers?****Laws of indices**

### Lesson 6

Roots

**What are roots?****How to work with fractional powers?****How to work out the root of a fraction?**

### Lesson 7

Graphs

**Why we are learning about graphs?****How to work out the equation of a straight line?****How to plot different functions on the graph?**

### Lesson 9

Factorising

**What is factorising?****How to expand out brackets?****Factorising quadratic equations**

### Lesson 10

Simultaneous Equations

**What are simultaneous equations?****How to solve simultaneous equations?**

### Lesson 11

Surds

**What are surds and how to estimate surds?****How to simplify surds?****How to rationalise the denominator?**

### Lesson 12

Shapes

**Shape terminology****What are regular and irregular polygons?****Different types of triangles and quadrilaterals**

### Lesson 13

Functions

**What are functions?****How to substitute different values into functions?****What are composite and inverse functions?**

### Lesson 14

Trigonometric Functions

**What are trigonometric functions used for?****How to draw the 3 trig functions?****Useful trig values table**

### Lesson 15

Trigonometry

**What is the Pythagoras theorem?****What are the 3 trigonometric ratios?****What is the sine and cosine rules?**

### Lesson 16

Circles

**Circle terminology****How to calculate the circumference of a circle?****How to calculate the area of a circle?**

### Lesson 17

Circle Theorems

**Understand the different circle theorem rules****Practice questions using circle theorems**

### Lesson 18

Equation of a Circle

**What is the equation of a circle?****How to draw a circle on a graph?****Work out the equation of a tangent to a circle?**

### Lesson 19

P.A.V.

**What are dimensions (1D, 2D, 3D)?****How to work out the perimeter and area?****How to work out the volume and surface area?**

### Lesson 20

Sequences

**What are sequences?****Different types of sequences****How to work out the formula for sequences?**

### Lesson 21

Venn Diagrams

**What are set notations?****What are Venn diagrams?****How to calculate probabilities using a Venn diagram?**

### Hints and Tips

for Exams

**Useful hints and tips to help you better prepare for your GCSE Math Exams**

### Glossary

**The glossary page provides a detailed overview of the topics that are covered in each of the GCSE Maths Target lessons**

# GCSE Math Lesson 15 - Trigonometry

For a more detailed overview of the topics that will be covered in this GCSE math lesson on Trigonometry, please visit the **Glossary Page**.

**Learning Objectives:**

**What is the Pythagoras theorem?**

**What are the 3 trigonometric ratios?**

**What is the sine and cosine rules?**

## Section 1 - Video Tutorials

The GCSE math lesson on Trigonometry consists of 2 educational video tutorials and demonstrates how you can easily work out unknown side lengths and/or angles without knowing everything about right angle or non-right-angle triangles. Start learning more about Trigonometry today.

## Section 2 - Practice Questions

Test yourself on what you have learned from the educational video tutorials in Section 1 with these multiple choice practice questions. If you are unsure on how to answer the questions, then we recommend you re-watch the video tutorials, because you will be able to follow the concepts and/or methods much better once you know what to expect. Practice makes perfect!

## Section 3 - Exam Style Questions

The multiple choice practice questions in Section 2 have hopefully improved your confidence and understanding of this GCSE math topic. Have a go answering these exam style questions on Trigonometry. These are the types of questions that you may come across in your GCSE math exams.

## Section 4 - Challenging Questions

After completing the exam style questions in Section 3, you should feel confident with Trigonometry. However, what makes these questions in Section 4 any different? Well, these exam style questions focus on Trigonometry, but combine topics covered in previous GCSE math lessons across the Maths Target curriculum. We recommend you use a spare piece of paper to write down your workings out and then check against the mark scheme.

Answers and grade boundaries for the challenging questions in Section 4 can be found by clicking on the button below.