Pythagoras is used when finding lengths in right angled triangles. The side opposite the right angled is called the hypotenuse and this is always the longest side.

Trigonometry in right angled triangles uses the SOHCAHTOA acronym. If we use SOHCAHTOA triangles it is easy to decide if we are multiply or dividing. First off we will label our sides, then choose our rule and carefully place in to your calculator for a final answer. If we are trying to find an angle we need to use inverse functions.

The sine rule is used in non right angled triangles. We will know to do this when we are solving two sided problems. If we are trying to find an angle we put the angle on top, if we are trying to find a side we start with the side on top.

The cosine rule is used for three sided problems. We need to learn how to rearrange the formula and be particularly careful when labelling the sides.

To find the area of a non right angled triangle we used a slightly different formula than usual.
It is 1/2 absin(C). The important thing here is that we use any two sides with the angle inbetween them.

In this instructional video we'll explore the different aspects of linear sequences. We will find various terms, find the nth term and test whether different numbers appear in the sequence.

Here we will look at sequences that do not go up by the same amount each time. These are called quadratic sequences and we can solve these using three simple equations. You will need to remember these, however once you do these problems will be solved extrememly quickly and easily!

A surd is a square root that we do not know. In this video we will learn how to add, subtract, multiply and divide using surds. These skills are the foundations to be able to tackle more advanced surd problems efficiently.

In a similar way to fractions our answers with surds always need to be given in their simplest form. We do this by finding a square number that is a factor and separating the surd into smaller parts.

Here we will practice expanding brackets with surds. Our usual rules of single and double brackets will apply, and we will link this with our addition, subtraction and multiplication rules for surds.

Rationalising the denominator means change the bottom of a fraction from being a surd. We do this by multiplying the top and bottom by the same thing. This doesn't change what the surd is - it just changed how it looks. We can then use our multiplication rules as before to get a simplified answer that has a whole number as the denominator!

The following worksheet will revisit all of the skills you have practiced throughout this block. This is a good chance to see where your surds are at and to get feedback on what may be worth recapping! Try and answer each question to the best of your ability, and if you need reminding you can watch the videos above. Good luck!