19/09/2018 Welcome to Maths

Can you write me a name card 19/09/2018 Can you write me a name card

If you can work towards that you will be working towards a pass 19/09/2018 The master plan is to aim for 50-55% in the foundation paper as that would have given you a 4 in this summers exams. If you can work towards that you will be working towards a pass

19/09/2018 Assessments We will be using Assessments throughout the course just so you get used to practising what we have learned and what you can remember from high school in exam conditions. The first one is this Friday

19/09/2018 Have some equipment

Do all the questions we give you 19/09/2018 Do all the questions we give you

19/09/2018 Ask for help!

Let me know of any problems 19/09/2018 Let me know of any problems

Let’s get stuck into some maths 19/09/2018 Let’s get stuck into some maths

19/09/2018 Starter Activity

19/09/2018 MULTIPLES

19/09/2018 Definition A multiple is the result when you multiply a number by any whole number. Think of the MULTIPLICATION table of a number as a ready-made list of its first few multiples!

19/09/2018 Finding multiples Just list the times table for that number If it’s a times table you don’t know, just find the multiples by repeatedly adding on that number (CAREFULLY!) List the multiples of 3

19/09/2018 Which of the numbers around the outside are multiples of the number in the middle 4 30 20 8 22 6 18 12 1 24 6

19/09/2018 Which of the numbers around the outside are multiples of the number in the middle 4 30 20 8 22 4 18 12 1 24 6

19/09/2018 Which of the numbers around the outside are multiples of the number in the middle 4 64 42 8 22 7 54 12 1 24 21

19/09/2018 FACTORS

19/09/2018 Finding factors A factor is a value that divides exactly into a given number The amount of factors a number has is limited, so when listing them it is important not to miss any The best way to do this is to find them in PAIRS Example Find all of the factors of 24 1 2 3 4 6 8 12 24

Start with 1, paired with the number itself 19/09/2018 Finding factors Start with 1, paired with the number itself Is 2 a factor? If so, what does it pair with? Is 3 a factor? If so what does it pair with? etc… Stop when you get to a number already in the list This means you have all of the factors List all the factors of 12

19/09/2018 Find the factors of the following: a b c d 8 8 12 12 15 15 18 18 1,2,4,8 1,2,3,4,6,12 1,3,5,15 1,2,3,6,9,18 e 24 24 f 31 31 g 30 30 h 57 57 1,2,3,4,6,8,12,24 1,31 1,2,3,5,6,10,15,30 1,3,19,57 i j k l 50 50 56 56 81 81 99 1,2,5,10,25,50 1,2,4,7,8,14,28 1,3,9,27,81 1,3,9,11,33,99

19/09/2018 PRIMES

For example, the number 17 has only two factors, 1 and 17. 19/09/2018 If a whole number has two, and only two, factors it is called a prime number. For example, the number 17 has only two factors, 1 and 17. Therefore, 17 is a prime number. The number 1 has only one factor, 1. Establish that 2 is the only even prime number. Ask pupils to name all the prime numbers up to 20. Therefore, 1 is not a prime number. There is only one even prime number. What is it? 2 is the only even prime number.

Is 24 a prime number? Is 13 a prime number? Is 27 a prime number? 19/09/2018 Is 24 a prime number? Is 13 a prime number? Is 27 a prime number? Is 21 a prime number?

19/09/2018 Can you make a list on your table of the prime numbers on the grid provided?

These are the prime numbers up to 100 19/09/2018 These are the prime numbers up to 100

19/09/2018 Square Numbers

For example, the number 16 is a square number as it can 19/09/2018 A square number is one produced when a whole number is multiplied by itself For example, the number 16 is a square number as it can be made from 4 x 4 10 is not a square number as there is no whole number that can be multiplied by itself to give 10 Establish that 2 is the only even prime number. Ask pupils to name all the prime numbers up to 20.

19/09/2018 Can you make a list of the square numbers on the grid provided?

19/09/2018

19/09/2018 Cube Numbers

For example, the number 27 is a square number as it can 19/09/2018 A cube number is one produced when a whole number is multiplied by itself twice more For example, the number 27 is a square number as it can be made from 3 x 3 x 3 10 is not a square number as there is no whole number that can be multiplied by itself 3 times to give 10 Establish that 2 is the only even prime number. Ask pupils to name all the prime numbers up to 20.

19/09/2018 Can you make a list of the cube numbers on the grid provided?

19/09/2018

19/09/2018 Reciprocals

8 𝟐 𝟓 3 𝟏 𝟑 𝟒 𝟕 𝟕 𝟒 What is the reciprocal of… Your turn… The Reciprocal of a number is 1 divided by that number Unless it’s a fraction. Then you just flip it What is the reciprocal of… 𝟐 𝟓 3 𝟏 𝟑 Your turn… What is the reciprocal of… 8 The reciprocal of is 𝟒 𝟕 𝟕 𝟒 The reciprocal of is

Now let’s put this into practice in our booklet 19/09/2018 Now let’s put this into practice in our booklet

I would advise finishing any remaining questions 19/09/2018 I would advise finishing any remaining questions