1. Week 9 units and measures
Functional MATHS
Week 9
units and measures

2. Today’s starter…

3. Geometry What did we do last week? Recognise and use 2D and 3D shapes
Names of 2D & 3D shapes
Nets of 3D shapes
Solve problems involving 2D compound shapes
Understand Tessellation

4. Directed Study

5. Maths Directed Study How tall is the Burj Khalifa building in Dubai?
For your directed study this week I want you to find out the answers to the following questions, write down on paper and bring back to next week’s class:
How tall is the Burj Khalifa building in Dubai?
How tall is Jyoti Kisanji Amge?
How tall is Sultan Kösen?

6. What are we going to do today?
Units and measures
Estimate, measure and compare length, capacity and weight
Convert between metric units
Convert between metric and imperial units (L2)
Solve problems requiring calculation with temperature, time and money

7. Height
Length
Weight
Capacity
Estimating measures

8. Can you guess how …………….

9. Tall Mount Snowdon is?

10. Long is an average pygmy shrew?

11. Tall is the world’s tallest building?
Burj Khalifa (directed study)

12. Heavy is a polar bear?

13. Heavy is a bumblebee?

14. Much water can an elephant’s trunk hold?

15. Heavy is an ostrich egg?

16. Tall is the world’s smallest living woman?
Jyoti Kisanji Amge
(directed study)

17. Tall is the world’s tallest man?
Sultan Kösen
(directed study)

18. Mount Snowdon – 1085 m or Km
(accept anything between km)
A pygmy shrew – 85mm
(accept anything between 75 and 95 mm)
The world’s tallest building – m (2,722 feet)
( accept anything between 800 – 900m)
Polar bear – 680 kg
Bumblebee – 0.05g (accept anything 0.2g – 0.01g)
Elephant’s trunk – up to 14 litres (accept any answer between litres)
Ostrich egg – about 1.4 kg (accept between 1 – 2 kg)
World’s smallest living woman  centimetres (2 ft 0.6 in).
World’s tallest man centimetres (8 ft 3 in).

19. Converting between metric measures
Length
Weight
Capacity

20. Metric System We mainly use the metric system
This system uses units such as: metre, centimetre, kilometre, gram, kilogram, litre, millilitre and the Celsius scale for temperature.
It’s all based on 10, 100 and 1000!

21. A bit of background info ….
Link on the picture for short you tube clip

22. Why do I need to know this?
During the exam you will need to calculate things such as Area, Perimeter or Volume
They will normally give you the measurements but mixed up, for example:
Length is 150cm and width is 1m, what is the area?
Before you can work out the area you need to make sure they are both in the same format

23. Metric Units Convert 12m into centimetres.
Convert 2670g into kilograms

24. Metric Conversions - LENGTH
Functional Skills Mathematics - Measurements
Metric Conversions - LENGTH
Examples:
Convert 3m to cm
3 x 100 = 300cm
Convert 5.7km to m
5.7 x 1000 = 5700m
Convert 3.6km to cm
3.6 x 1000 = 3600m
3600 x 100 = cm
x 1000
x 100
x 10 km m cm mm
÷ 1000
÷ 100
÷ 10

25. Metric Conversions – WEIGHT/MASS
Examples:
Convert 5g to mg
5 x 1000 = 5000mg
Convert 2.9kg to g
2.9 x 1000 = 2900m
Convert 7.6 tonnes to mg
7.6 x 1000 = 7600Kg
7600 x 1000 = g
x 1000 = mg
x 1000
x 1000
x 1000 g mg
Tonne kg
÷ 1000
÷ 1000
÷ 1000

26. Metric Conversions - CAPACITY
Examples:
Convert 9l to cl
9 x 100 = 900cl
Convert 90ml to cl
90 ÷ 10 = 9cl
Convert 15300ml to l
15300 ÷ 10 = 1530cl
1530 ÷ 100 = 15.3l
x 100
x 10 ml l cl
÷ 100
÷ 10

27. Measure problems – Disney style!
Complete the worksheet on measure problems
Make sure you read the questions carefully!

28. Converting between metric and imperial

29. Metric to Imperial Conversions
You need to know how to convert the following:
Metric
Imperial
8km
5 miles
2.5cm
1 inch
4.5 litres
1 gallon
1 kg
2.2 pounds
You don’t need to remember the conversion, just how to do it

30. Length Conversions of World Records
1 inch = 2.5 cm
1 metre = 3.3 feet

31. This man’s nose is 8.8cm, convert this to inches.
2.5cm = 1 inch

32. The diameter of this bubble is 20.3 inches, convert this to cm.
2.5cm = 1 inch

33. This woman’s legs are 132cm, convert this to inches.
2.5cm = 1 inch

34. This man’s mouth is 6.8 inches, convert this to cm.
2.5cm = 1 inch

35. This snake is 7.3 m, convert this to feet.
2.5cm = 1 inch
12 inches = 1 foot

36. This woman’s waist is 15.2 inches, convert it to cm
2.5cm = 1 inch

37. Answers Nose Bubble Legs Mouth Snake Waist 8.8cm or 3.52 inches

38. Time lapses
Reading timetables
Days and months
Measures of time

39. 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

40. 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

41. 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

42. 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

43. * 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

44. 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

45. Calendar 2004 (Leap Year)
J a n u a r y
F e b r u a r y
M a r c h M 5 12 19 26 T 6 13 20 27 W 7 14 21 28 1 8 15 22 29 F 2 9 16 23 30 S 3 10 17 24 31 4 11 18 25 2 9 16 23 3 10 17 24 4 11 18 25 5 12 19 26 6 13 20 27 7 14 21 28 1 8 15 22 29 1 8 15 22 29 2 9 16 23 30 3 10 17 24 31 4 11 18 25 5 12 19 26 6 13 20 27 7 14 21 28
A p r i l
M a y
J u n e M 5 12 19 26 T 6 13 20 27 W 7 14 21 28 1 8 15 22 29 F 2 9 16 23 30 S 3 10 17 24 4 11 18 25 3 10 17 24 31 4 11 18 25 5 12 19 26 6 13 20 27 7 14 21 28 1 8 15 22 29 2 9 16 23 30 7 14 21 28 1 8 15 22 29 2 9 16 23 30 3 10 17 24 4 11 18 25 5 12 19 26 6 13 20 27
30 days hath September, April, June and November. All the rest have 31 except February alone, which has 28 days clear but 29 in a leap year.

46. Calendar 2004 (Leap Year)
J u l y
A u g u s t
S e p t e m b e r M 5 12 19 26 T 6 13 20 27 W 7 14 21 28 1 8 15 22 29 F 2 9 16 23 30 S 3 10 17 24 31 4 11 18 25 2 9 16 23 30 3 10 17 24 31 4 11 18 25 5 12 19 26 6 13 20 27 7 14 21 28 1 8 15 22 29 6 13 20 27 7 14 21 28 1 8 15 22 29 2 9 16 23 30 3 10 17 24 4 11 18 25 5 12 19 26
O c t o b e r
N o v e m b e r
D e c e m b e r M 4 11 18 25 T 5 12 19 26 W 6 13 20 27 7 14 21 28 F 1 8 15 22 29 S 2 9 16 23 30 3 10 17 24 31 1 8 15 22 29 2 9 16 23 30 3 10 17 24 4 11 18 25 5 12 19 26 6 13 20 27 7 14 21 28 6 13 20 27 7 14 21 28 1 8 15 22 29 2 9 16 23 30 3 10 17 24 31 4 11 18 25 5 12 19 26
30 days hath September, April, June and November. All the rest have 31 except February alone, which has 28 days clear but 29 in a leap year.

47. Temperature

48. The Number Line Negative numbers Positive Numbers
A number line is very useful when working out number calculations. Numbers to the left of zero are negative.

49. Positive and negative numbers can be used to describe temperature.
The greater the negative number, the colder
the temperature is.

50. Put these temperatures in order in your book starting with the coolest:
Q. What is the highest / lowest temperature?
Q. What is 10C cooler than 3C? Co

51. Have a go at the temperature worksheet

52. Problem solving with money
Currency conversion
Money questions

53. Flags and Currencies 1) 2) 3) 4) 5) 6) British Pound Euro U.S. Dollar
Australian Dollar 5)
Yen 6)
Swiss Franc

54. Why would you convert currency?

55. What is an exchange rate?

56. How to exchange currency?
I know £1 =  ฿43.56 (Thai Baht) what would I do to find how much £100 is?
£100 x Baht = 4356 Baht
Convert the following amounts to Thai Baht.
a) £10 b) £50 c) £135
Baht
Baht
2178 Baht

57. Exchanging Currency €56.50 $75.50 $72.50 105.50 Lv ¥ 6964.50
Using the table on the right, convert £50 to the following currencies
Euros
US Dollars
Australian Dollars
Bulgarian Lev
Japanese Yen
€56.50
$75.50
$72.50 Lv ¥

58. How to exchange currency?
I know £1 = ฿43.56 (Thai Baht) how would I work out how many pounds, 1000 Baht is?
1000 Baht ÷ = £
= £22.96
Convert the following amounts to British Pounds (GBP).
a) 200 Baht b) 1400 Baht c) 70 Baht
£4.59
£32.14
£1.61

59. Exchanging Currency £176.99 £132.45 £137.93 £94.79 £1.44
Using the table on the right, convert 200 of the countries currency to GBP (£). Round to 2 decimal places
200 Euros
200 US Dollars
200 Aussie Dollars
200 Bulgarian Lev
200 Japanese Yen
£176.99
£132.45
£137.93
£94.79
£1.44

60. Value for money Basic money problems
1. A pet shop sells a 6-can multipack of dog food for £3.18 and a 12-can multipack for £6.24. Which multipack is best value for money?
2. Michelle buys a 14g jar of herbs for £0.95. Her friend Zoe buys a 7g jar for £0.60. Who has got the best value?

61. Wages Basic money problems
A man earns a basic £180 a week, plus £45 in overtime. He pays £26.80 in tax, £5.75 in national insurance, and his pension contribution is £5 for every £100 on his basic pay. What is his net pay for the week?
2) A woman’s basic rate is £6.20 an hour but for weekend working she gets double time. In one week she works 50 hours, of which 12 were at the weekend. How much did she earn that week?

62. Harder examples – Level 2

63. Directed Study

64. Please complete and bring back next week….