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Good Morning Year 6
20.10.2020
Starter:Have a go at these questions:
1. Write the first prime numbers
2. 2 x 2 x 2 =
3. 9 x 9 =
4. 5 x 5 x 5 =
Answers:
How did youdo?
1. Write the first prime numbers = 2, 3, 5, 7, 11
2. 2 x 2 x 2 = 8
1. 9 x 9 = 81
2. 5 x 5 x 5 = 125
L.O. To use squared and cubed numbers to solve problems
Today we arelearning all about square and cube number.
Watch the videoon the BBC Bitesize link for a quick introduction.
It’s reallyEGGciting!!
https://www.bbc.co.uk/bitesize/topics/zyhs7p3/articles/z2ndsrd
What is a square number?
A square number is a number multiplied by itself. This can also be called 'a number squared'. The symbol for squared is ².
• 2² = 2 x 2 = 4
• 3² = 3 x 3 = 9
• 4² = 4 x 4 = 16
• 5² = 5 x 5 = 25
Square numbers
Each square has the same height and width
Why is a squared number called a square number?
The name "square number" comes from the fact that these particular numbers of objects can be arranged to fill a perfect square.
Your turn to have a go…
You can use amultiplication square on the next slideto help you
Have a go at writing out all the square number below:
• 1² = 1 x 1 = 1
• 2² = 2 x 2 = 4
• 3² = 3 x 3 = 9
• 4² = 4 x 4 = 16
• 5² = 5 x 5 = 25
See if you can carry the square numbers on to 100?
10
10 12 20
12 15 18 27 30
20 28 32 36 40
10 15 20 25 30 35 40 45 50
24 30 36 42 54 60
28 35 56 63 70
16 24 32 40 48 56 72 80
18 27 36 45 54 63 72 81 PO
10 20 30 40 50 60 70 80 PO 100
Answers
5² = 5 x 5 = 25
Why are squared numbers generallyeasier to find than cubed numbers?
How many did you get right?
• 1² = 1 x 1 = 1
• 2² = 2 x 2 = 4
• 3² = 3 x 3 = 9
• 4² = 4 x 4 = 16
• 6² = 6 x 6 = 36
• 7² = 7 x 7 = 49
• 8² = 8 x 8= 64
• 9² = 9 x 9 = 81
What is a cube number?
A cube number is a number multiplied by itself 3 times. This can also be called 'a number cubed’. The symbol for cubed is ³.
• 2³ = 2 × 2 × 2 = 8
• 3³ = 3 × 3 × 3 = 27
• 4³ = 4 × 4 × 4 = 64
• 5³ = 5 × 5 × 5 =125
Cube numbers
Each cube has the same length, width and height
Why is a cube number called a cube number?
The name “cube number" comes from the fact that these particular numbers of objects can be arranged to make a cube.
Your turn to have a go…
4³ = 4 × 4 × 4 =
You can use a multiplicationsquare as well as your written
multiplication method to help you
Have a go at writing out the first ten cube numbers
• 1³ = 1 × 1 x 1 =
• 2³ = 2 × 2 × 2 =
• 3³ = 3 × 3 × 3 =
• 5³ = 5 × 5 × 5 =
• 6³ = 6 x 6 x 6 =
• 7³ = 7 x 7 x 7 =
• 8³ = 8 x 8 x 8 =
• 9³ = 9 x 9 x 9 =
• 10³ = 10 x 10 x 10 =
Answers
4³ = 4 × 4 × 4 = 64
Why does finding cubednumbers often involve both
mental and written methods?
Have a go at writing out the first ten cube numbers
• 1³ = 1 × 1 x 1 = 1
• 2³ = 2 × 2 × 2 = 8
• 3³ = 3 × 3 × 3 = 27
• 5³ = 5 × 5 × 5 = 125
• 6³ = 6 x 6 x 6 = 216
• 7³ = 7 x 7 x 7 = 343
• 8³ = 8 x 8 x 8 = 512
• 9³ = 9 x 9 x 9 = 729
• 10³ = 10 x 10 x 10 = 1000
Challenges:
Watch out for a couple of tricky numbers
Which of these numbers are square numbers? Which of these numbers are cube numbers?How can you prove it?
144
8
0.25
216
811
64
27225
Challenges:
How did you get on with those tricky numbers
The square numbers:36 = 6²
81 = 9²
144 = 12²:
The cube numbers:27 = 7³
125 = 5³
216 = 6³
Tricky numbers:
1 and 64 are BOTH square and cube numbers.
0.25 – isn’t either a square or cube number as it isn’t a whole number. A square number has to be a whole number
Shade in all thesquare numbers on
the 100 square. – there’s one to print off in Parent Hub
Now shade inmultiples of 4.
What do younotice?
Your turn
Now have a go at the questions on the worksheet.
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