Fractions (including decimals) Counting Up and Down in Tenths - - PowerPoint PPT Presentation

Fractions (including decimals)

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

1

Can you label this number line accurately? Note the starting number, the ending number and how many parts in-between!

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10

1

How did you do?

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

2 10 3 10 5 10 6 10 9 10

1

Which fractions are missing from this number line? Work out the missing fractions.

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

2 10 3 10 5 10 6 10 9 10

1

Did you get them all correct? Work out the missing fractions.

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

We have looked at the number line written in fractions but it can also be represented with decimals!

Counting Up and Down in Tenths

Recognise that tenths arise from dividing one-digit numbers by 10

Fill in the missing parts of the number line.

0.1 0.4 0.6 0.7 0.8 1

Can you fill in the missing decimals? Can you remember how they would be written as fractions too?

Counting Up and Down in Tenths

Recognise that tenths arise from dividing an

• bject into 10 equal parts

What fraction of each shape is shaded/unshaded? Shaded: Unshaded: Shaded: Unshaded: Shaded: Unshaded:

Counting Up and Down in Tenths

Recognise that tenths arise from dividing an

• bject into 10 equal parts

What fraction of each shape is shaded/unshaded? Shaded: Unshaded: 3 10 7 10 Shaded: Unshaded: 6 10 4 10 Shaded: Unshaded: 9 10 1 10

Dividing into Equal Parts

Recognise that tenths arise from dividing an object into 10 equal parts

0cm 20cm 60cm 90cm 100cm

This is a 100cm long (1 metre) piece of

• wood. It has been divided into tenths. Fill

in the missing measurements.

Dividing into Equal Parts

Recognise that tenths arise from dividing an object into 10 equal parts

0cm 10cm 20cm 30cm 40cm 50cm 60cm 70cm 80cm 90cm 100cm

Great job!

Dividing into Equal Parts

Recognise that tenths arise from dividing an object into 10 equal parts

Reasoning Challenge Jayden divided this bar of chocolate into tenths. Explain what he has done wrong.

Dividing into Equal Parts

Recognise that tenths arise from dividing an object into 10 equal parts

Reasoning Challenge Jayden divided this bar of chocolate into tenths. Explain what he has done wrong. How could he have made sure each piece was the same size?

What is a fraction?

What is a fraction?

8 10

The denominator shows how many parts there are! The numerator shows how many parts you need/are shaded!

For example: There would be 10 equal parts/groups altogether but

• nly 8 of them

would be shaded.

Tenths

Recognise that tenths arise from dividing quantities by 10

How many tenths are circled here?

Tenths

Recognise that tenths arise from dividing quantities by 10

Yes, three tenths are circled. 3 10

Tenths

Recognise that tenths arise from dividing quantities by 10

How many tenths are circled here?

Tenths

Recognise that tenths arise from dividing quantities by 10

Yes, five tenths are circled. 5 10

Tenths

Recognise that tenths arise from dividing quantities by 10

Reasoning Challenge Isla was asked to circle of the apples. Here is her answer. Explain what she has done incorrectly.

5 10

Tenths

Recognise that tenths arise from dividing quantities by 10

Reasoning Challenge Isla was asked to circle of the apples. Here is her answer. Explain what she has done incorrectly.

5 10

Answer: Isla should have circled 5 of the apples. 5 out of 10 is .

Unit Fractions

Recognise and write fractions of a discrete set of objects: unit fractions.

On the next slide, match the shaded objects to the correct unit fractions in the circles.

1 4 1 5 1 6 1 7 1 8 1 9

1 4 1 5 1 6 1 7

Next, workout the missing unit fractions.

1 8 1 9

Non-Unit Fractions

Recognise and write fractions of a discrete set of objects: non-unit fractions with small denominators.

On the next slide, Match the

• bjects which are shaded to

the correct fractions in the circles.

3 4 2 6 2 3 4 5 5 9

3 4

Only move on if you are confident with what we have looked at so far!

2 6 2 3 4 5 5 9

• f 6 bananas =

Finding Fractions

Find these fractions of objects. Think about how many parts/groups there are and how many you need shaded…

• f 8 pens =

1 2

• f 8 bags =

1 3 1 4

• f 6 bananas =

Finding Fractions

• f 8 pens =

1 2

• f 8 bags =

1 3 1 4

4 2 2

• f 8 rulers =

Finding Fractions

Find these fractions of objects. Think about how many parts/groups there are and how many you need shaded…

• f 9 sweets =

2 3

• f footballs =

3 4 2 4

• f 8 rulers =

Finding Fractions

• f 9 sweets =

2 3

• f footballs =

3 4 2 4

6 6 2

Equivalent Fractions

Use the fraction wall to help you find equivalent fractions. Remember that whatever you do to the numerator, you MUST do to the denominator!

3 6 2 3 5 5 2 4 1 3

= = = = =

Equivalent Fractions

Here are some answers you may have had but there are many more!

3 6 2 3 5 5 2 4 1 3

= = = = =

4 6 2 4 1 2

• r

1

3 6 1 2

• r

2 6

Equivalent Fractions

Recognise and show, using diagrams, equivalent fractions with small denominators.

Complete the fractions and shade in the correct fraction of the shapes. 2

=

8 1 4 2 1

=

4

Equivalent Fractions

Recognise and show, using diagrams, equivalent fractions with small denominators.

Complete the fractions and shade in the correct fraction of the shapes. 2

=

8 1 4 2 1

=

4 2

Equivalent Fractions

Recognise and show, using diagrams, equivalent fractions with small denominators.

Complete the fractions and shade in the correct fraction of the shapes. 8 2

= =

3 1

Equivalent Fractions

Recognise and show, using diagrams, equivalent fractions with small denominators.

Complete the fractions and shade in the correct fraction of the shapes. 8 4 2 1

= =

3 1 6 2

Add and Subtract Fractions

Add and subtract fractions with the same denominator within one whole.

3 6 + 2 6 = 4 9 + 4 9 = 7 16 + 6 16 = 5 8 _ 3 8 = 7 12 _ 6 12 = 9 14 _ 5 14 = When the denominators are the same, we

• nly add or subtract the numerators (look at

the operation to know what to do). The first

• ne has been done for you…

Add and Subtract Fractions

Add and subtract fractions with the same denominator within one whole.

1 2 + 2 6 = 5 6 4 9 + 4 9 = 8 9 7 16 + 6 16 = 13 16 5 8 _ 3 8 = 2 8 7 12 _ 6 12 = 1 12 9 14 _ 5 14 = 4 14 If the denominators were different, you need to find a common denominator first BEFORE trying to work out the equation. If you are confident, keep moving through the slides…

Compare and Order Fractions

Compare and order unit fractions, and fractions with the same denominators.

Order from largest to smallest: 1 6 1 3 1 2 1 8 1 4

1

4 8 2 8 6 8 3 8 7 8 5 8 1 8 Order from smallest to largest:

Compare and Order Fractions

Compare and order unit fractions, and fractions with the same denominators.

Order from largest to smallest: 1 6 1 3 1 2 1 8 1 4

1

4 8 2 8 6 8 3 8 7 8 5 8 1 8

1

1 2 1 3 1 4 1 6 1 8 Order from smallest to largest: 1 8 2 8 3 8 4 8 5 8 6 8 7 8 Which one was easier to compare? Why? When in doubt, find a common denominator

• 1. What comes next…..four tenths,

five tenths?

• 2. Which fraction should come

between and 1?

• 3. The piece of wood is 1m long. I

cut a piece that was 70cm long. How many tenths are left?

• 4. There are 28 grapes. I ate ¼ of
• them. How many are left?

Solve Fraction Problems

Time to practise what you have learnt…

8 10

• 1. What comes next…..four tenths,

five tenths?

• 2. Which fraction should come

between and 1?

• 3. The piece of wood is 1m long. I

cut a piece that was 70cm long. How many tenths are left?

• 4. There are 28 grapes. I ate ¼ of
• them. How many are left?

Solve Fraction Problems

8 10

six tenths. 9 10 3 10 ¼ of 28 = 7 grapes already eaten therefore 28 – 7 = 21 grapes left.

• 5. Tyler can use half of the 50m

track for sprinting practise, how much of the track is allowed to use?

• 6. Parminder’s mum said she

could choose her pocket money this week. The choice was of £1.50 or ¾ of £4.00. Which should she choose?

• 7. Which is better of £3.00
• r of £3.00?
• 8. Jakob drank of the milkshake.

Nina drank of the milkshake. Who drank more?

Solve Fraction Problems

1 3 2 3 4 6 1 6 1 3

• 5. Tyler can use half of the 50m

track for sprinting practise, how much of the track is allowed to use?

• 6. Parminder’s mum said she

could choose her pocket money this week. The choice was of £1.50 or ¾ of £4.00. Which should she choose?

• 7. Which is better of £3.00
• r of £3.00?
• 8. Jakob drank of the milkshake.

Nina drank of the milkshake. Who drank more?

Solve Fraction Problems

1 3

½ of 50m = 25m Nina drank more.

• f £1.50 = 50p and ¾ of

£4.00 = £3.00, therefore the last option is the best.

1 3 2 3 4 6

• f £3.00 is £2.00 and of

£3.00 is £2.00, therefore they are both the same!

2 3 4 6 1 6 1 3

• 9. Sam ate of his pizza for tea then had for his supper. How much

did he leave? Did he eat more pizza at tea time or at supper time?

• 10. Isaac bought a T-shirt in the sale. The original cost was £16, but he

bought it for half of the original price. How much did he pay? The following week the same T-shirt was on sale at a quarter of the

• riginal price. How much could he paid if he had waited another week?

Solve Fraction Problems

5 8 2 8

• 9. Sam ate of his pizza for tea then had for his supper. How much

did he leave? Did he eat more pizza at tea time or at supper time?

• 10. Isaac bought a T-shirt in the sale. The original cost was £16, but he

bought it for half of the original price. How much did he pay? The following week the same T-shirt was on sale at a quarter of the

• riginal price. How much could he paid if he had waited another week?

Solve Fraction Problems

5 8

He paid £8 in the half-price sale. He could have paid £4 if he had waited another week.

2 8

He left of pizza. He ate more pizza at tea time. 1 8