Transcript Lesson 5. Ratio and Proportion

Objectives:
• Use proportion to solve problems.
• Use direct proportion in simple contexts.
Vocabulary:
W/S5.1B
Finding multiplicative relationships:
Example:
8 is ¼ of 32
34 is twice as big as 17.
34
5
12
6
32
10
14
16
9
8
24
17
18
40
28
Find 5 other multiplicative relationships in the target board.
Share the amounts highlighted equally between 2.
24 sweets
£60
Share the amounts highlighted equally between 3.
Share the amounts highlighted equally between 4.
5 kg
8p
£3
£12
60p
15kg
6 CD’s
24p
48 sweets
£120
£15
12 cakes
M5.2B
Unequal sharing:
If my brother and I shared £12 so that he received half as much
as I did – how much would we each receive?
£12
60p
15kg
6 CD’s
24p
48 sweets
£120
£15
12 cakes
2 lots (me)
£12
1 lot (my brother)
£12 into 3 lots
Each lot £4
Me, 2 lots of £4 = £8
My brother, 1 lot of £4 = £4
Share the highlighted amounts so that one person gets half as much
as the other.
£12
60p
15kg
6 CD’s
24p
48 sweets
£120
£15
12 cakes
60p shared unequally is 20p : 40p
6 CD’s shared unequally is 2 CD’s: 4 CD’s
£15 shared unequally is £5: £10
Recipe for oatcakes
How many eggs for 4 people?
200g
fine oatmeal
100g
wholewheat flour
4g
salt
4 people need 2 eggs
How much flour for 6 people?
4g
baking powder
24g
caster sugar
72g
margarine
1egg
beaten
300g of flour for 6 people
How much salt for 10 people?
20g of salt for 10 people
This recipe gives enough
biscuits for two people.
Recipes:
Salad for three:
200g lettuce
100g tomatoes
Using the information in the box
find:
The ingredients for salad for
9 people.
50g onions
50 g cheese
The ingredients for pie for 8
people.
Pie for two:
200g flour
50g margarine
1 egg beaten
500g beef
W/S 5.2B
Recipes:
Salad for three:
200g lettuce
Answers:
The ingredients for salad for
9 people.
100g tomatoes
600g lettuce
50g onions
300g tomatoes
50 g cheese
150g onions
150g cheese
Pie for two:
200g flour
50g margarine
1 egg beaten
500g beef
The ingredients for pie for 8
people.
800g flour
200g margarine
4 eggs beaten
2000g beef
Objectives:
• Use proportion to solve problems.
• Use direct proportion in simple contexts.
Vocabulary:
Thank you
for your
attention