Which is the odd one out?

Surds Know what is meant by surd form. Understand the process of simplifying surds. To able to explain what you can multiply a surd by so that it is no longer a surd.

What is a surd Integer – a whole number – not a fraction Irrational Number – cannot be written as a simple fraction. Surd – a square root (sqrt) which cannot be simplified to remove the sqrt. Example: 1, 2, 3, 4, … Example:

Simplifying Surds You can simplify some sqrts into surds. Rules for surds What numbers times together to make 27 TIP 1: one of them should be a square number

Simplifying Surds Try out this one Rules for surds What numbers times together to make 75 TIP 1: one of them should be a square number

Simplifying Surds Try out this one Quite long sometimes TIP 2: Look for Prime Factors

Simplifying Surds Dividing Surds Rules for surds

Have a go

a b c d

Have a go a b c d

Have a go e f

Can you do this? YOU SHALL NOT PASS BE ALLOWED TO DO THIS

Can you do this? Example: This is as far as you can go, this is the answer

SURD Dominoes Starting with the START card, each domino piece will spell out a joke.

SURD Dominoes WHAT IS INVISIBLE AND SMELLS OF CARROTS? BUNNY TRUMPS!

What’s to a surd? Surds are much more accurate since it is not rounded. Surds are easier to deal with algebraically once simplified Surds can be rationalised

Rationalising Surds Rationalising a surd turns it into a rational number. This helps solve sqrts by cancelling out some surds TIP: Simplify the two surds Rules for surds

Expanding Brackets When expanding out brackets with sqrts, you’re expected to be able to simplify and rationalise them.

Expanding Brackets When expanding out brackets with sqrts, you’re expected to be able to simplify and rationalise them.

Have a go

5

6

7

Independent Study Exercise 2A page (solutions p416)