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Year 6: Counting and Understanding Number

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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

Negative Number Square

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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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

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

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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1/8

1/8

1/8

1/8

1/8

1/8

1/8

1/8

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!

- To make a pizza topping for 4 people, you need:
- 300g cheese;
- 500g Tomatoes
- 2 Peppers;
- 12 slices of pepperoni

Pizza Time

?

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

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?