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Week 9 units and measures Functional MATHS Week 9 units and measures

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

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

Height Length Weight Capacity Estimating measures

Can you guess………….

Tall Mount Snowdon is? 1085 metres

Long is an average pygmy shrew? 5cm (3cm without tail)

Tall is the world’s tallest building? Burj Khalifa (directed study) 828m 830m

Heavy is a polar bear? Male: 450kg Female: 150kg – 250kg

Heavy is a bumblebee? 0.04g – 0.6g

Much water can an elephant’s trunk hold? 4 – 10 litres

Heavy is an ostrich egg? 1.4kg

64cm (2’ 1”) Tall is the world’s smallest living woman? Jyoti Kisanji Amge (directed study) 64cm (2’ 1”)

251cm (8’ 3”) Tall is the world’s tallest man? Sultan Kösen (directed study) 251cm (8’ 3”)

Converting between metric measures Length Weight Capacity

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!

Imperial System What do we still use?

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

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

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 = 360000cm

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 = 7600000g 7600000 x 1000 = 7600000000mg x 1000 x 1000 x 1000 g mg Tonne kg ÷ 1000 ÷ 1000 ÷ 1000

Answers

Answers

Converting between metric and imperial

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

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

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

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

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

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

This snake is 25 foot convert this to metres. 1 foot = 0.3048m

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

Answers Nose Bubble Legs Mouth Snake Waist 3.52 inches 50.75cm

Time lapses Reading timetables Days and months Measures of time

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

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

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

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

* 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

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 1110. 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 1414. What time did he leave Atcliffe? 1354

Settle to Carlisle No Presets Settle Horton Ribblehead Dent Garsdale Kirkby. S Appleby Langwathby Lazonby & K Armthw’te Carlisle 0950 0959 1007 1016 1022 1034 1048 1102 1107 1115 1132 1042 - 1120 1134 1215 1146 1155 1203 1212 1218 1230 1244 1258 1303 1311 1328 1349 1357 1405 1415 1420 1433 1445 1459 1504 1513 1530 1545 1554 1602 1611 1617 1629 1642 1656 1701 1709 1726 1715 1725 1733 1742 1748 1759 1812 1826 1831 1839 1856 1854 1903 1911 1920 1928 1938 1951 2005 2010 2018 2035 2023 2031 2041 Settle to Carlisle No Presets

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.

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.

Have a go at the temperature worksheet

Problem solving with money Currency conversion Money questions

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

Why would you convert currency?

What is an exchange rate?

How to exchange currency? I know £1 =  ฿43.56 (Thai Baht) what would I do to find how much £100 is? £100 x 43.56 Baht = 4356 Baht Convert the following amounts to Thai Baht. a) £10 b) £50 c) £135 5880.60 Baht 435.60 Baht 2178 Baht

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 $72.50 105.50 Lv ¥ 6964.50

How to exchange currency? I know £1 = ฿43.56 (Thai Baht) how would I work out how many pounds, 1000 Baht is? 1000 Baht ÷ 43.56 = £22.95684114 = £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

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

Directed Study

Please complete and bring back next week….