Year 6 counting and understanding number
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Back to Contents (this slide). Previous Slide. Next Slide. Action Button (click when it flashes). Year 6: Counting and Understanding Number. Contents - Please click the Go Button. Number Lines Using Negative Numbers. -30. -10. 0. 10. 20. 30. -20. 40. -20. 0. 10. 20. 30. -10.

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Year 6 counting and understanding number

Back to Contents (this slide)

Previous Slide

Next Slide

Action Button (click when it flashes)

Year 6: Counting and Understanding Number

Contents - Please click the Go Button


Number Lines Using Negative Numbers

-30

-10

0

10

20

30

-20

40

-20

0

10

20

30

-10

-40

-20

-10

0

10

20

-30


Number Lines Using Negative Numbers

20

10

30

0

10

0

20

-10

0

-10

10

-20

-10

-20

0

-30



Number Sequences

Next Number

Go

-35

-30

-25

-20

-15

-10

-5

0

5

Next Number

Go

30

24

18

12

6

0

-6

-12

-18

Next Number

Go

20

17

14

11

8

5

2

-1

-4

Next Number

Go

-1.2

-0.9

-0.6

-0.3

0

0.3

0.6

0.9

1.2


Number Sequences

Next Number

Go

260

210

160

110

60

10

-40

-90

-140

Next Number

Go

-40

-33

-26

-19

-12

-5

2

9

16

Next Number

Go

0.25

0.5

0.75

1

1 .25

1.5

1.75

2

2.25

Next Number

Go

1

2

4

8

16

32

64

128

256


Decimal Place ValueClick on the digit to show its value (Click again to hide)

4

2

4

4

2

5

2

8

44 units

0.22/10

0.044/100

0.0044/1000

22 units

0.55/10

0.022/100

0.0088/1000

3

9

7

8

1

0

4

7

33 units

0.99/10

0.077/100

0.0088/1000

1 1 unit

0.00/10

0.044/100

0.0077/1000

5

0

4

8

7

8

3

7

7

55 units

0.00/10

0.044/100

0.0088/1000

77 units

0.88/10

0.033/100

0.0077/1000

707 tens

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Counting using number lines
Counting - Using Number Lines

3

4

0

1

2

6

7

8

9

10

5

7.5

8.5

1.5

2.5

3.5

4.5

5.5

6.5

0.5

Next Number

7

8

1.0

2

3

4

5

6

0

1

2

3

4

5

6

7

8

9

10

1.5

3

4.5

6

7.5

9

Next Number

0

1

2

3

4

5

6

7

8

9

10

0.8

1.6

2.4

3.2

4

4.8

5.6

6.4

7.2

8

9.6

8.8

Next Number

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0

0.7

0.9

0.3

0.4

1

Can you guess where the decimals will appear on the number line?

0.2

0.6

0.5

0.8

0.1


Decimal numbers can become even smaller too
Decimal numbers can become even smaller too!

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

0.2

0.21

0.22

0.23

0.24

0.25

0.26

0.27

0.28

0.29

0.3

These decimal numbers are all in-between 0.2 and 0.3


0

1

2

3

4

5

6

7

8

9

10

Can you estimate where these decimals will appear on the number line?

1.6

2.8

5.55

8.71

9.6


Understanding Decimals

Whole Numbers

0

1

2

3

4

5

6

7

8

9

10

Tenths (1 decimal place)

3

3.1

3.2

3.3

3.4

3.5

3.6

3.7

3.8

3.9

4

Hundredths (2 decimal places)

3.4

3.41

3.42

3.43

3.44

3.45

3.46

3.47

3.48

3.49

3.5


Click on a decimal to place it on the number line
Click on a decimal to place it on the number line

10

0

5

0.6

1.4

2.6

4.5

6.7

8.9

4.5

8.9

1.4

2.6

0.6

6.7

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

1.94

1.13

1.43

1.6

1.75

1.75

1.94

1.43

1.6

1.13


Ordering Decimals

To order these decimal numbers we need to make sure the decimal places are lined up.

0

4

2

3

4th

4.23

2nd

0

5

5

0

5.5

5th(smallest)

0

4

0

5

4.05

3rd

0

4

6

0

4.6

1st(largest)

4

0

1

0

40.1

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Ordering Decimals

Can you place these decimal numbers in order?

Click on the decimal to put in in order.

2

9

0

Largest

2.53

2

5

3

2nd Largest

0.98

2

5

0

2.5

3rd Largest

2.9

2

4

9

4th Largest

2.49

0

9

8

Smallest

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Making 1 from 2 Decimal Place NumbersA Demonstration

0.54

+

0.46

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Making 1 from 2 Decimal Place NumbersA Demonstration

0.38

+

0.62

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Equivalent fractions

1/8

1/8

1/8

1/8

1/8

1/8

1/8

1/8

Equivalent Fractions

1/4

1/4

1/4

1/4

1/2

1/2

1/10

2/10

3/10

4/10

5/10

6/10

7/10

8/10

9/10

10/10

1/5

2/5

3/5

4/5

5/5

1/12

2/12

3/12

4/12

5/12

6/12

7/12

8/12

9/12

10/12

11/12

12/12

1/6

2/6

3/6

4/6

5/6

6/6

1/3

2/3

3/3


Fraction Wall

1

1/2

1/2

1/3

1/3

1/3

1/4

1/4

1/4

1/4

1/5

1/5

1/5

1/5

1/5

1/6

1/6

1/6

1/6

1/6

1/6

1/7

1/7

1/7

1/7

1/7

1/7

1/7

1/8

1/8

1/8

1/8

1/8

1/8

1/8

1/8

1/9

1/9

1/9

1/9

1/9

1/9

1/9

1/9

1/9

1/10

1/10

1/10

1/10

1/10

1/10

1/10

1/10

1/10

1/10


Common DenominatorsClick on the statement to see why the fractions are the same

1/2 is the same as 2/4

2/3 is the same as 4/6

2/5 is the same as 8/20

x2

x4

x2

1

2

2

4

2

8

2

4

3

6

5

20

x2

x2

x4

Both the denominators can be divided by 2.

Both the denominators can be divided by 3.

Both the denominators can be divided by 5.


Finding Equivalent FractionsClick on a fraction to watch it being placed

1/3

1/2

1/4

3/4

3/12

7/14

2/6

12/16

4/16

2/4

7/21

5/15

15/20

6/8

6/24

5/10

4/12

9/12

3/6

5/20

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Finding Equivalent FractionsClick on a fraction to watch it being placed

2/3

3/5

1/5

5/6

25/30

15/25

9/15

4/20

20/24

3/15

14/21

10/15

15/18

6/10

6/30

8/12

2/10

10/12

12/20

6/9

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Improper FractionsClick on the shapes to reveal the improper fractions

This is divided up into quarters. There are 5/4.

This is divided up into halves. There are 3/2.

This is divided up into sixths. There are 14/6.

This is divided up into quarters. There are 6/4.

This is divided up into thirds. There are 5/3.


Ordering FractionsClick on the fractions to watch the steps

The Fractions To Order

Change the Denominator

The ‘Ordered’ Fractions

3/5

24/40

11/40

4/10

16/40

3/10

7/20

14/40

7/20

11/40

11/40

4/10

3/10

12/40

3/5


Equivalent Decimals, Fractions & PercentagesClick on a fraction to watch it being placed

25%

0.4

¾

½

2/4

12/30

8/20

75%

0.5

0.75

5/20

0.25

5/10

4/10

15/20

3/12

9/12

50%

40%

¼

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Chloe is having a party. For every person, she needs 2 small cakes, 3 balloons and 10 sweets.

Having a Party!


Pizza Time


? cakes, 3 balloons and 10 sweets.

0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25

?

?

-0.4 0 0.4 0.8 1.2 1.6 2

?

?

0 0.15 0.3 0.45 0.6 0.75 0.9

?

?

1.5 3 6 12 24 48 96 192

?

?

Number Patterns.

Click the “?” to reveal the missing answers.


Number Patterns cakes, 3 balloons and 10 sweets.

07:25

07:50

08:15

08:40

09:05

Adding 25 minutes each time!

What comes next?

The triangle rotates 90° each time!

July

March

May

December

January

August

Months with 31 days!


What comes next? cakes, 3 balloons and 10 sweets.


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