real fraction problems

LO: To Find fractions of numbers and quantities.

4.5.05

What is half of……….

?

What is a quarter of……….

?

What is a half of……….

?

What is a quarter of……….

?

What is a half of……….

?

What is a quarter of……….

?

What strategies did you use to answer these questions?

A roll of ribbon is 2m. If I use 58cm of ribbon, what fraction

have I used?

Shade more rectangles so that exactly half of the shape is

shaded please

A cup holds 250ml of liquid. A bottle holds 500ml. What fraction

of the bottle does the cup hold?

A cup holds 250ml of liquid. A bottle holds 500ml. What fraction

of the bottle does the cup hold?

What fraction of the cup does the bottle hold?

LO: to relate fractions to division and use division to find fractions

of numbers and quantities.

4.5.05

Question: Would you rather have ½ a bag of sweets or 6/10?

Question: Would you rather have 3/6 a bag of sweets or 1/2?

½ of 50

1/3 of 120

3/10 of 100

20

25

30

35

40

45

50

55

LO: To use vocabulary to express simple ratios.

21.06.05

What is the length of each part of the ribbon?

What is the length of each part of the ribbon?

If we compare these lengths they are 50cm for every 50cm.

Could this ratio be simplified?

If we compare these lengths they are 50cm for every 50cm.

Could this ratio be simplified?

1cm for every 1cm

5cm for every 5cm, etc.

25cm to 75cm

10cm to 90cm

LO: to find simple percentages of whole number quantities.

Develop calculator skills and use a calculator effectively.

21.06.05

50%

£360 1%

25%

240g

10%

4400km480ml

69% of £360

Can you work out the answer in your head?

69% of £360

Can you work out the answer in your head?

What makes this calculation more difficult?

87%

£360 29%

36%

240g

58%

4400km480ml

87%

£36029%

36%240g

58%4400km480ml

Record these as number sentences in your book..i.e. 17.5% of £360 is £63

17.5%

LO: to find simple percentages of whole number quantities.

I need a new pair of trainers……Can you help me, I need the best

value!

Shop A Cost £30 with a 30% discount

Shop B Cost £21 with a 12% discount

Shop C Cost £24 with a 35% discount

I need a new pair of trainers……Can you help me, I need the best

value!

Shop A Cost £30 with a 30% discount

Shop B Cost £21 with a 12% discount

Shop C Cost £24 with a 35% discount

Which shop has the cheapest trainers?

What have we learned?

•To calculate key percentages mentally

•To use a calculator to find percentages.

LO: to Find simple percentages of small whole number quantities.

6/5/05

40

40

10%=

40

10%=

20%

40

10%=

20%

30%

40

10%=

20%

30%

15%

40

10%=

20%

30%

15%

5%

40

10%=

25%

20%

30%

15%

5%

40

10%=

25%

20%

30%

15%

5%

5%

40

10%=

25%

20%

30%

15%

5%

1%5%

120

10%=

120

10%=

20%

120

10%=

20%

30%

120

10%=

20%

30%

15%

120

10%=

20%

30%

15%

5%

120

10%=

25%

20%

30%

15%

5%

120

10%=

25%

20%

30%

15%

5%

5%

120

10%=

25%

20%

30%

15%

5%

1%5%

Relate fractions to division and their decimal representations.

6/5/05

In pairs: 1st person say a fraction of 100 2nd person work out and write decimal equivalent.

35/100 0.35i.e

Haseem has £13.50 to share between 15 people for drinks in a café. What fraction of the money would each person receive?

Haseem has £13.50 to share between 15 people for drinks in a café. What fraction of the money would each person receive?

How much would each person receive?

Give me two fractions that are the same as 0.2

Are there any other decimals that have fractions that are both fifths

and tenths?

You have been using your calculator to find an answer. The answer on the display reads 3.6.

What might this mean?

What would you prefer, three pizzas shared between four people or six pizzas shared between ten

people?

LO: Count on and back inequal steps, e.g. 25, 100, 0.1,

including beyond 0.

23.06.05

LO:Solve simple problemsinvolving ratio and proportion.

23.06.05

What is the ratio of red to green counters?

What is the ratio of red to green counters?

3:1 (for every 3 reds counters there is 1 green)

What is the proportion of green counters?

What is the proportion of green counters?

A Quarter (1 portion of 4 is green)

What is the proportion of red counters?

Three Quarters (1 portion of 4 is green)

LO:Recognise when two simple fractions are equivalent.

24.06.05

In pairs, the complete the spider using fractions, decimals and percentages.

LO:Solve simple problemsinvolving ratio and proportion.

24.06.05

At the gym club there are two boys for every three girls. There are 15 girls at the club. How many boys are there at the club?

At the gym club there are two boys for every three girls. There are 12 boys at the club, how many girls are there?

Chicken must be cooked for 50 minutes for every kg.

How long does it take to cook a 3 kg chicken?

A mother seal is fed five fish for every two fish for its baby. Alice fed the mother seal 15 fish. How many fish did the baby get? Alice fed the baby seal eight fish. How many did its mother get?

For every 50p coin Mum gives Dad, he gives her five 10p coins. Dad gave Mum 25 10p coins. How many 50p coins did Mum give him?

Kate wanted to make some lilac paint. She used one tin of purple paint to every three tins of white paint. If she used 16 tins altogether, how many purple tins did she use?

Zara uses three tomatoes for every 1/2 litre of sauce. How much sauce can she make from 15 tomatoes? How many tomatoes does she need for 1 litre of sauce?

How many cubes are in each box and how many cubes of each colour are there?

Here are some clues:

Box 1

There are between 10 and 20 cubes in the box.

There is one yellow cube for every four green cubes.

There is an odd number of cubes.

1

Box 2

There is an even number of cubes.

There is one red cube for every two blue cubes.

There are between 20 and 30 cubes in the box.

2

Box 3

There are two green cubes for every three pink cubes.

There is an odd number of cubes.

There are between 16 and 34 cubes in the box.

3

Box 4

There are between 15 and 40 cubes in the box.

There is an even number of cubes.

There are three yellow cubes for every four black cubes.

4

Box 1 contains 15 cubes – 3 yellow, 12 green

1

Box 2 contains 24 cubes – 8 red, 16 blue

2

Box 3 contains 25 cubes – 10 green, 15 pink

3

Box 4 contains 28 cubes – 12 yellow, 16 black

4

What have we learned?

•Use, read and write, spelling correctly, vocabulary to express simple ratios and proportions;

•Discuss statements such as: John has one stamp for every two that Mark has;

•Solve simple problems involving ratio and proportion.