1. L.O.:To use knowledge of ratio to scale up and down.
Ratio and scale
L.O.:To use knowledge of ratio to scale up and down.

2. Success Criteria: I understand that scale is the same as ratio.
I can work out dimensions from scale drawings and models.
I can scale up or down, using direct proportion.

3. AFL q: Attempt independently:

4. What is scale?
Architects make models of buildings, like Al Bahar towers.
Models are 3-D representations of objects.
When we make a scale copy of an object, the original and the copy have the same proportions.

5. Ratio and models A model of a dinosaur has a scale of 1:12
This means that for every 1cm of the
model the real life size is 12cm
TTYP: The head on the dinosaur model is 8 cm in length.
How long is the head of the real dinosaur?

6. Some general rules ÷ All the “real” measurement’s are multiplied or
divided by the scale factor
Are you going from scale drawing or from
life size? Bigger or smaller X
Smaller
Model/Plan
Bigger
Life size ÷

7. The model of the dinosaur is 1:12
This means that for every 1 cm of the model, the real skeleton measures 12cm
8cm on the model = 8 x 12 in real life
8 x 12 = 96
The head of the real dinosaur is 96 cm

8. Test yourself Below are two measurements of a the real car.
A model is made using a scale of 1:10
What is the length of the model?
What is the height of the model
37cms
13.2cms

9. Scale drawings Here is a plan of a garden
greenhouse
shed
1.5cm
2.5cm
Scale 1:125
7cm
6cm
patio
9cm
Find the actual length of the patio, shed & garden.
Find the actual width of the greenhouse & garden

10. Some general rules ÷ All the “real” measurement’s are multiplied or
divided by the scale factor
Are you going from scale drawing or from
life size? Bigger or smaller X
Smaller
Model/Plan
Bigger
Life size ÷

11. Main task: Textbook: Page 90 Red: Complete independently.
Challenge: Reattempt AFL q.
Blue/Yellow: q1-6 independently
Challenge: Think q
Green: q1-4 ws

12. AFL q: re-attempt independently:

13. Plenary summary: What does a scale of 1 : 60 represent?
If I am going from a drawing to actual
size would I divide or multiply?
Give me some examples where you would
See and use scale?
A scale model or drawing has exactly the same
shape as the original object, and all the same
proportions, but a different overall size.

14. L.O.: To multiply fractions.

15. Success Criteria: I can multiply fractions by whole numbers.
I can multiply fractions by mixed numbers.
I can simplify fractions.

16. Can you name the parts of a fraction??
numerator ?
denominator

17. ? ? ? What sort of fractions / numbers are these: proper fraction?
proper fraction ?
mixed number ?
improper fraction

18. Whole numbers have a denominator of 1.
Whole numbers have a denominator of 1.
Multiply numerators and denominators.
Cancel down and change to a mixed number if necessary.

19. Main task 1:

20. 2 × = =
3 ×

21. Main task 2:

22. =

23. Main task 3:

24. 1 2 5 1

25. Cancelling before multiplication
Cancelling before multiplication 1 4 3 7
Which is easier?

26. Plenary q: Is he correct? Multiplying always makes things bigger:
2 x 3 = 6
6 is bigger than both 2 and 3
Is he correct?

27. of means × = =

28. L.O.: To divide fractions. 30.5.17
Success Criteria:
I can divide a fraction by another fraction.
I can divide a mixed number by a fraction.
I can divide fractions by whole numbers.

29. Warm-up:
Challenge:

30. = ÷ × Turn the dividing fraction upside down and change ÷ to ×.= ÷ ×
Turn the dividing fraction upside down and change ÷ to ×.
Multiply numerators and denominators.
If necessary cancel down and change to a mixed number.

31. = ÷ × = ÷ × = ÷ × = ÷ × ÷ = ×

32. =

34. × ÷ Whole numbers have a denominator of 1.÷ ×
Whole numbers have a denominator of 1.
Turn dividing fraction upside down and multiply numerators and denominators.
Cancel down and change to a mixed number if necessary.

36. Division always makes things smaller
Division always makes things smaller. If I divide up a rich, tasty chocolate cake, I always get a smaller piece than the whole cake.
12 ÷ 4=3
3 is less than 12
Plenary q:
Is she correct?

38. L.O.: To revise knowledge of percentages and equivalent fractions.
Success Criteria:
I can convert a fraction to a decimal.
I can convert a fraction to a percentage.
I know the main equivalent fractions and percentages off by heart.

39. AFL q: Complete independently:

40. How do you change a fraction to a percentage?
Fraction > Percentage > Decimal
Hint: Percentage means “Out of 100”
Multiply x 100 over 1!
Challenge: What if the fraction already has a denominator of 100?

41. Warm-up: Convert these fractions to percentages with your partner:
Green Blue/Yellow Red

42. TTYP: How do you find a percentage of an amount?
e.g. Find 50% of 12?
Make the % a fraction (out of 100).
Divide the amount by the denominator.
Multiply by the numerator.
50% = ½ , 12 divided by 2 = 6, 6 x 1 = 6
50% of 12 = 6

43. Find the following % of amounts:
Challenge: Can you find a faster way of completing q 3 knowing the answer from q 2??

44. Main task: Green: Page 80 q 1-6 independently.
Yellow: Page 80 q 1-10 independently.
Blue: Page 79 q1-8 independently.
Red: Page 81 ws

45. Plenary:

46. L.O.: To read timetables. Success Criteria:
I can read times in the 24hour clock.
I can convert times from 12 hour clock to 24 hour clock.
I can complete word problems involving 24 hour times and timetables.

47. Warm-up: AFL q, attempt independently:

48. 12/24 Hour Clock Examples 8 pm becomes 9 pm becomes 6:30 pm becomes
2300
2200
2100
2000
1900
1800
1700
1600
1500
1400
1300
1200
11 pm
10 pm
9 pm
8 pm
7 pm
6 pm
5 pm
4 pm
3 pm
2 pm
1 pm
midday
1100
1000
0900
0800
0700
0600
0500
0400
0300
0200
0100
0000
11 am
10 am
9 am
8 am
7 am
6 am
5am
4 am
3 am
2 am
1 am
midnight
12/24 Hour Clock
To go from 12 hour clock to 24 hour clock just add 12 to the hour:
Examples
8 pm becomes
9 pm becomes
6:30 pm becomes
11:30 pm becomes
4:20 pm becomes
3:10 pm becomes
2000
2100
1830
2330
1620
1510

49. 12/24 Hour Clock Examples 2000 becomes 2100 becomes 1730 becomes
2300
2200
2100
2000
1900
1800
1700
1600
1500
1400
1300
1200
11 pm
10 pm
9 pm
8 pm
7 pm
6 pm
5 pm
4 pm
3 pm
2 pm
1 pm
midday
1100
1000
0900
0800
0700
0600
0500
0400
0300
0200
0100
0000
11 am
10 am
9 am
8 am
7 am
6 am
5am
4 am
3 am
2 am
1 am
midnight
12/24 Hour Clock
To go from 24 hour clock to 12 hour clock just subtract 12 to the hour:
Examples
2000 becomes
2100 becomes
1730 becomes
2208 becomes
2006 becomes
1350 becomes
8 pm
9 pm
5:30 pm
10:08 pm
8:06 pm
1:50 pm

50. Time 12/24 hour clock 24 23 13 14 22 15 21 20 16 19 17 18

51. AM: Before Noon (Ante Meridiem)
0300
0515
0830
Give the am times in 24 hr clock
0545
1020
1130

52. PM: After Noon (Post Meridiem)
1500
1715
2030
Give the pm times in 24 hr clock
1745
2220
2330

53. Time 3 pm 4:45 pm Elapsed Time? 1645 1500 1500 to 1600 = 1 hour
3 pm to 4 pm = 1 hour
1600 to 1645 = 45 minutes
4 pm to 4:45 pm = 45 minutes
Elapsed time = 1 hour 45 minutes
Elapsed time = 1 hour 45 minutes

54. Time 7:10 pm 9:30 pm Elapsed Time? 2130 1910
7:10 pm to 9:10 pm = 2 hours
1910 to 2110 = 2 hours
2110 to 2130 = 20 minutes
9:10 pm to 9:30 pm = 20 minutes
Elapsed time = 2 hour 20 minutes
Elapsed time = 2 hour 20 minutes

55. * Using Timetables * * * * * 2314 2302 2254 2248 2243 2237 2225 2214
2202
2154
2148
2143
2137
2125
2114
2102
2054
2048
2043
2037
2025
Until
Hour
Every
And
1114
1102
1054
1048
1043
1037
1025
1014
1002
0954
0948
0943
0937
0925
0914
0902
0854
0848
0843
0837
0825
Scawby Bus Station
Milfield
Atcliffe
Worsley
Catby
Bigby
Alton Bus Station * * * * * *
1. What time does the 0825 bus from Alton arrive at Scawby?
0914
2. What time does the 0943 bus from Catby arrive at Scawby?
1014
3. What time does the 2048 bus from Worsley arrive at Milfield?
2102
4. How long does it take to get from Atcliffe to Milfield?
8 min
5. How long does it take to get from Alton to Scawby?
49 min
6. What time does the last bus from Bigby arrive at Milfield?
2302

56. Using Timetables
2314
2302
2254
2248
2243
2237
2225
2214
2202
2154
2148
2143
2137
2125
2114
2102
2054
2048
2043
2037
2025
Until
Hour
Every
And
1114
1102
1054
1048
1043
1037
1025
1014
1002
0954
0948
0943
0937
0925
0914
0902
0854
0848
0843
0837
0825
Scawby Bus Station
Milfield
Atcliffe
Worsley
Catby
Bigby
Alton Bus Station
Mary lives at Bigby. She has a dentist appointment at Scawby at What is the latest bus she can catch to ensure that she is on time?
0937
Robert lives at Alton. He catches the first bus of the day to visit a friend in Atcliffe. He then travels on to Scawby, arriving there at What time did he leave Atcliffe?
1354

57. Main task: Red: page 87 complete independently. Challenge: Page 88
Blue: Complete pg 87 independently.
Challenge: Think q.
Yellow: pg 87 q 1-12 ws
Green: pg 87 q 1-9

58. Plenary: