1. Number properties and operations

2. Ratio I can write a ratio share an amount in a given ratio
Learning objectives
16 January 2019
I can write a ratio
share an amount in a given ratio

3. Compare the parts into which an object is divided with each other.
Ratio
There is a close relationship between fractions and ratios. The diagram below should help make this link become clear.
Fractions
Compare the parts into which an object is divided with the whole object.
Ratios
Compare the parts into which an object is divided with each other.
Fraction red =
Red:Green =
3:4
Reads as
Red to Green equals 3 to 4.
The order is important.
Green:Red =
4:3
Red:Yellow =
Fraction green =
3:5
Yellow:Red =
5:3
Green:Yellow =
4:5
Fraction yellow =
12 parts
Yellow:Green =
5:4

4. Compare the parts into which an object is divided with each other.
Ratio
Ratios
Compare the parts into which an object is divided with each other.
State the following ratios for the diagram above.
15 parts
Red:Green =
8:3
8 red squares for every 3 green squares.
Yellow:White =
3:1
3 yellow squares for every 1 white square.
Green:Yellow =
3:3
3 green squares for every 3 yellow squares.
White:Red =
1:8
1 white square for every 8 red squares.
Red:White =
8:1
8 red squares for every 1 white square.

5. The Toy Box
16 parts
State the following ratios for the toys in the box.
Dogs:Teddies =
6:4
6 dogs for every 4 teddies.
Clowns:Ducks =
3:2
3 clowns for every 2 ducks.
Soldiers:Clowns =
1:3
1 soldier for every 3 clowns.
Ducks:Teddies =
2:4
2 ducks for every 4 teddies.
Dogs:Clowns =
6 dogs for every 3 clowns.
6:3

6. The Toy Box
16 parts
Ratios can be simplified in the same way as fractions. Divide both sides by the Highest Common Factor (HCF).
Dogs:Teddies =
6 dogs for every 4 teddies.
6:4
Dogs:Teddies =
3 dogs for every 2 teddies.
3:2
Equivalently
 by 2
A Picture

7. The Toy Box
Ratios can be simplified in the same way as fractions. Divide both sides by the Highest Common Factor (HCF).
20 parts
Clowns:Ducks =
9:6
9 clowns for every 6 ducks.
Clowns:Ducks =
3 clowns for every 2 ducks.
3:2
Equivalently
 by 3
A Picture

8. 24 parts Write the following ratios in simplest form. Hearts Clubs
Diamonds
Spades
24 parts
Hearts: Clubs =
12:6
= 2:1

9. 24 parts Hearts Clubs Diamonds Spades
Write the following ratios in simplest form.
Spades: Clubs =
2:6
= 1:3

10. 24 parts Write the following ratios in simplest form. Hearts Clubs
Diamonds
Spades
24 parts
Clubs: Diamonds =
6:4
= 3:2

11. Write the following Ratios in Simplest Form
6: 8
12: 8
6: 9
12: 6
8: 8
5: 20
12: 18
45: 54
 by 2
 by 4
 by 3
 by 6
3: 2
2: 3
2: 1
3: 4
 by 8
 by 5
 by 6
 by 9
1: 1
1: 4
2: 3
5: 6

12. Success Criteria
I can write a ratio
10 Ticks Level 5 pack 2 section C

13. Ratio I can write a ratio as a fraction
Learning objectives
16 January January 2019
I can write a ratio as a fraction
share an amount in a given ratio

14. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

15. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

16. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

17. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

18. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

19. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

20. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate. 15 9

21. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

22. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

23. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

24. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

25. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

26. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

27. Sharing In a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

28. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

29. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive? 8 28

30. Sharing in a Given Ratio
Discuss the problem of using this method if Snoopy and Hippo had to share (the very nice) bar of chocolate below in the ratio 3 : 2.
5 x 16 = 80
So this method is not efficient when the quantity to be shared is large and/or the ratios are small. A more efficient method is desirable.
This can be achieved by considering what proportion/fraction of the whole bar they will each receive. In this example we can think of the bar as being divided into 5 parts.
Snoopy will get 3 out of 5 parts and Hippo will get 2 out 5 parts.
So Snoopy gets 3 5
of 80 = 48 pieces
Hippo gets 2 5
of 80 = 32 pieces
Check: = 80 

31. Sharing in a Given Ratio
Example Question 1
Simon and Jenny share £72 in the ratio of 3 : 5. How much do they each receive?
8 parts 8
Simon gets 3
of £72 = £27
Jenny gets 5 8
of £72 = £45
Check: = 72 
Example Question 2
Snoopy and Hippo share 56 coloured discs in the ratio of 5 : 2. How many do they each receive?
7 parts
Snoopy gets 5 7
of 56 = 40 discs
Hippo gets 2 7
of 56 = 16 discs
Check: = 56 
Examples 1/2

32. Sharing in a Given Ratio
Questions 1
1. Share £48 between Alan and Barbara in the ratio 2 : 1
£32
£16
2. Share £60 between Laura and Robert in the ratio 1 : 3
£15
£45
3. Share 80 marbles between Stuart and Carl in the ratio 4 : 1 64 16
4. Share 91 sweets between Peter and Becky in the ratio 4 : 3 52 39
5. Share 70 coloured beads between Janet and Christine in the ratio 3 : 2 42 28
6. Share £120 between Carly and Paul in the ratio 3 : 5
£45
£75

33. Sharing in a Given Ratio
Questions 2
1. Share 350 ml of milk between a cat and her kitten in the ratio 4 : 3
200 ml
150 ml
2. Share 1.2 litres of milk between a dog and a cat in the ratio 7 : 5
700 ml
500 ml
3. Share 240 g of sweets between Alison and Stephen in the ratio 3 : 5
90 g
150 g
4. Share 120 g of cereal between Stuart and Julie in the ratio 3 : 7
36 g
84 g
£2400
£3000
5. Paul is 12 and Gemma is 15. They share a £5400 inheritance from their aunty in the ratio of their ages. How much do they each receive?
£1275
£1445
6. John scored 15 points and Fiona scored 17 points in a TV quiz show. They shared the prize money of £2720 in ratio of points scored How much did they each receive?

34. Sharing in a Given Ratio
Example Question 3
Ollie, Jumbo and Prof break the large cube into individual small cubes and share them in the ratio 3 : 1 : 4. How many does each receive?
8 parts 8
Ollie gets 3
of 64 = 24 cubes 8
Jumbo gets 1
of 64 = 8 cubes 8
Prof gets 4
of 64 = 32 cubes
Example 3
Check: = 64 

35. Sharing In a Given Ratio
Example Question 4
Snoopy, Ollie, Hippo and Jumbo share the coloured counters shown in the ratio 4 : 7 : 3 : 6. How many counters does each receive?
20 parts 20
Snoopy gets 4
of 80 = 16 counters 20
Ollie gets 7
of 80 = 28 counters 20
Hippo gets 3
of 80 = 12 counters 20
Jumbo gets 6
of 80 = 24 counters
Example 4
Check: = 80 

36. Sharing in a Given Ratio
Questions 3
1. Alan, Becky and Charlie share 72 sweets in the ratio 2 : 3 : 4. How many sweets do they each receive?
Alan gets 16 sweets
Becky gets 24 sweets
Charlie gets 32 sweets
2. Paula, Robert and Karl share £240 in the ratio 4 : 5 : 3. How much money do they each receive?
Paula gets £80
Robert gets £100
Karl gets £60
3. A piece of wood 2.8 m long, is cut into 3 pieces in the ratio 4 : 3 : 7. Find the length of each piece.
Piece 1 = 80 cm
Piece 2 = 60 cm
Piece 3 = 140 cm
4. A metal alloy block of mass 56 kg consists of copper, zinc and tin in the ratio 4 : 3 : 1. Find the mass of each metal.
Copper = 28 kg
Zinc = 21 kg
Tin = 7 kg
5. Jack, Jenny, Paul and Kate share 720 marbles in the ratio 2 : 9 : 4 : 3. How much does each receive?
Jack gets 80
Jenny gets 360
Paul gets 160
Kate gets 120

37. Success Criteria I can write a ratio share an amount in a given ratio
10 Ticks level 6 pack 4 page 3 section D

38. Starter of the day

39. Ratio I can solve problems involving ratios Learning objectives
16 January 2019
I can solve problems involving ratios

40. If 3 bags of crisps weigh 75 g, how much do 12 bags weigh?
X 4
X 4
300
12 bags weigh 300g
What if we needed to find the weight of 7 bags? 3 75 1
÷ 3
÷ 3 25
X 7 7
175
X 7
7 bags weigh 175g

41. 17 packets of sweets weigh 136g. How many bags will weigh 56g?
÷ 17
÷ 17 1 8
X 7 7 56
X 7
7 bags will weigh 56g

42. A citrus twist cocktail contains orange juice, lemon juice and lime juice in the ratio 6:3:1.
I have 150 ml of lemon juice, how much orange juice and lime juice do I need?
Orange
Lemon
Lime 6 3 1
150
X 50
300 50
I will need 300 ml of orange juice and 50 ml of lime juice

45. The ages of a mother and daughter are in the ratio 8:3
The ages of a mother and daughter are in the ratio 8:3. If the mother is 48 how old is the daughter?

46. Success Criteria I can solve problems involving ratios
10 Ticks: Level 6 pack 4 page 4
Rat Ios Restaurant