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Welcome to Maths

2. Can you write me a name card
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Can you write me a name card

3. If you can work towards that you will be working towards a pass
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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

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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

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Have some equipment

6. Do all the questions we give you
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Do all the questions we give you

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Ask for help!

8. Let me know of any problems
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Let me know of any problems

9. Let’s get stuck into some maths
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Let’s get stuck into some maths

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Starter Activity

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MULTIPLES

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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!

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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

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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

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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

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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

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FACTORS

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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

19. Start with 1, paired with the number itself
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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

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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

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PRIMES

22. For example, the number 17 has only two factors, 1 and 17.
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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.

23. Is 24 a prime number? Is 13 a prime number? Is 27 a prime number?
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Is 24 a prime number?
Is 13 a prime number?
Is 27 a prime number?
Is 21 a prime number?

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Can you make a list on your table of the prime numbers on the grid provided?

25. These are the prime numbers up to 100
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These are the prime numbers up to 100

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Square Numbers

27. For example, the number 16 is a square number as it can
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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.

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Can you make a list of the square numbers on the grid provided?

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Cube Numbers

31. For example, the number 27 is a square number as it can
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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.

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Can you make a list of the cube numbers on the grid provided?

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Reciprocals

35. 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

36. Now let’s put this into practice in our booklet
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Now let’s put this into practice in our booklet

37. I would advise finishing any remaining questions
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I would advise finishing any remaining questions