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.