Measures and Units 1 Choosing sensible units Mass

Measures and Units 1 Choosing “sensible” units Mass Height kg cm ml km inches miles Converting between units Distance Volume Menu © Boardworks Ltd 2001

Measures 1 Introduction Menu View Application Grid Choosing “sensible” units Pairing Exercises Examples 1 Converting between units 2 3 Examples Converting km and miles 1 2 3 Converting cm and inches 1 2 3 Converting kg and stone 1 2 3 Converting mixture of units 1 2 3 Standard Conversions 4 Menu © Boardworks Ltd 2001

SLIDE CONTROL WHEN IN PRESENTATION MODE Pressing keys or clicking moves slides on. Pressing P goes to previous slide. Using menu slide, click on chosen button to go to that slide. Click on Menu button to return. In presentation mode, right click, then ‘help’ gives a full list of control options. Menu © Boardworks Ltd 2001

Measures and Units 1 View Application Grid This unit explores two aspects of using measures: • Making sensible estimates of measurements • Converting quickly between different units It uses the following approaches: • Explanations and Examples • Pairing activities USUAL SLIDE CONTROL Hitting keys or clicking moves slides on. Pressing P undoes the previous step. INTERACTIVE BUTTONS e. g. Menu © Boardworks Ltd 2001

Measures and Units 1 How much do you think I weigh? About 4 tonnes = 4000 kg 80 kilometres = 50 miles ? ? TRUE or FALSE? TRUE !! Menu © Boardworks Ltd 2001

Measures and Units 1 Half a pint is about how many millilitres? ? About 0. 284 litre = 28 ml 8 stone is about 80 kg ? ? 8 stone is actually about 50 kg TRUE or FALSE!! FALSE? Menu © Boardworks Ltd 2001

“Sensible” Measures Examples Getting a feel for the right estimate? Here are some examples to estimate? The answers are “estimates” so other amounts may also be acceptable!! The height of a house? (m) 20 metres Menu © Boardworks Ltd 2001

“Sensible” Measures Examples Continued The volume of a jam jar? (l) 0. 5 litre The weight of a dog ? (kg) 20 kg London to Newcastle? (km) 450 km The area of a classroom? (m 2) 50 m 2 Weight of a loaf of bread? (g) 800 g From Earth to the Moon? (km) 400 000 km Make an estimate for each of these!! Menu © Boardworks Ltd 2001

SENSIBLE PAIRS EXAMPLE 1. Volume of a can of drink A. 7 centimetres 2. From Leeds to Sheffield B. 400000 kilometres 3. The weight of a coin C. 330 millilitres 4. Length of a finger D. 55 kilometres 5. From Earth to the Moon E. 30 litres 6. A tank of petrol F. 5 grams Click for Answers Menu © Boardworks Ltd 2001

SENSIBLE PAIRS EXAMPLE 1. Volume of a can of drink C. 330 millilitres 2. From Leeds to Sheffield D. 55 kilometres 3. The weight of a coin F. 4. Length of a finger A. 7 centimetres 5. From Earth to the Moon B. 400000 kilometres 6. A tank of petrol E. 5 grams 30 litres Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 1 1. The weight of a baby A. 20 metres 2. The length of a pencil B. 1 kilogram 3. The length of a car C. 40 grams 4. A bag of sugar weighs. . . D. 4 kilograms 5. The height of a tree E. 4 metres 6. A tennis ball weighs. . . F. 14 centimetres Click for Answers Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 1 1. The weight of a baby D. 4 kilograms 2. The length of a pencil F. 14 centimetres 3. The length of a car E. 4 metres 4. A bag of sugar weighs. . . B. 1 kilogram 5. The height of a tree A. 20 metres 6. A tennis ball weighs. . . C. 40 grams Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 2 1. Volume of a bottle of wine A. 100 metres 2. From London to Brighton B. 1 litre 3. The volume of a bucket C. 5 millilitres 4. Length of a sprint race D. 400000 kilometres 5. From Earth to the Moon E. 12 litres 6. A spoonful of medicine F. 65 kilometres Click for Answers Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 2 1. Volume of a bottle of wine B. 1 litre 2. From London to Brighton F. 65 kilometres 3. The volume of a bucket E. 12 litres 4. Length of a sprint race A. 100 metres 5. From Earth to the Moon D. 400000 kilometres 6. A spoonful of medicine C. 5 millilitres Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 3 1. From London to Newcastle A. 60 kilograms 2. A good high jump B. 50 grams 3. Weight of a woman C. 500 kilometres 4. Height of a house D. 2 metres 5. From London to Bristol E. 15 metres 6. Weight of a small bird F. 160 kilometres Click for Answers Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 3 1. From London to Newcastle C. 500 kilometres 2. A good high jump D. 2 metres 3. Weight of a woman A. 60 kilograms 4. Height of a house E. 15 metres 5. From London to Bristol F. 160 kilometres 6. Weight of a small bird B. 50 grams Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 4 1. Marathon run A. 10 kilograms 2. From London to New York B. 330 millilitres 3. Volume of water in a bath C. 2000 kilograms 4. A bucket of sand weighs D. 8000 kilometres 5. Volume of drink in a can E. 200 litres 6. Weight of a car F. 42 kilometres Click for Answers Menu © Boardworks Ltd 2001

SENSIBLE PAIRS 4 1. Marathon run F. 42 kilometres 2. From London to New York D. 8000 kilometres 3. Volume of water in a bath E. 200 litres 4. A bucket of sand weighs A. 10 kilograms 5. Volume of drink in a can B. 330 millilitres 6. Weight of a car C. 2000 kilograms Menu © Boardworks Ltd 2001

Converting Units Examples This section is on “quick conversions” between Imperial and Metric units. Here are some examples of calculations that can be used to estimate conversions. Basic conversions need memorising!!! 15 miles = km ? Use. . . 15 divided by 5 = 3 5 miles = 8 km 3 x 8 = 24 km Menu © Boardworks Ltd 2001

Converting Units 5 inches = Examples 1 cm ? Use. . . 1 inch = 2. 54 cm 2 x 5 + 0. 5 x 5 = 10 + 2. 5 = 12. 5 cm (approx. ) (12. 7) 80 km = miles ? Use. . . 80 divided by 8 =10 20 inches = 8 km = 5 miles 10 x 5 = 50 miles cm ? Use. . . 1 inch = 2. 54 cm 2 x 20 + 0. 5 x 20 = 40 + 10 = 50 cm (approx. ) (50. 8) Menu © Boardworks Ltd 2001

Converting Units 8 gal. = Examples 2 litres ? Use. . . 1 gal. = 4. 54 l 4 x 8 + 0. 5 x 8 = 32 + 4 = 36 litres (approx. ) (36. 32) 10 stone = kg ? Use. . . 1 stone = 6. 36 kg 6 x 10 + 0. 5 x 10 = 60 + 5 = 65 kg (approx. ) (63. 6) 4 inches = cm ? Use. . . 1 inch = 2. 54 cm 2 x 4 + 0. 5 x 4 = 8 + 2 = 10 cm (approx. ) (10. 16) Menu © Boardworks Ltd 2001

Converting Units 200 miles = Examples 3 km ? Use. . . 5 miles = 8 km 200 divided by 5 = 40 20 gal. = 40 x 8 = 320 km litres ? Use. . . 1 gal. = 4. 54 l 4 x 20 + 0. 5 x 20 = 80 + 10 = 90 l 6 stone = kg ? Use. . . (approx. ) (90. 8) 1 stone = 6. 36 kg 6 x 6 + 0. 5 x 6 = 36 + 3 = 39 kg (approx. ) (38. 16) Menu © Boardworks Ltd 2001

Converting Units 7 inches = Examples 4 cm ? Use. . . 1 inch = 2. 54 cm 2 x 7 + 0. 5 x 7 = 14 + 3. 5 = 17. 5 cm (approx. ) (17. 78) 80 km = miles ? Use. . . 80 divided by 8 =10 11 stone = 8 km = 5 miles 10 x 5 = 50 miles kg ? Use. . . 11 stone = 6. 36 kg 6 x 11 + 0. 5 x 11 = 66 + 5. 5 = 71. 5 kg(approx. ) (69. 96) Menu © Boardworks Ltd 2001

Imperial - Metric Conversions 1 inch = 2. 54 cm 1 foot = 30. 48 cm 1 yard = 0. 9144 m 1 cm = 0. 39 inch 100 cm = 39 inches 1 mile = 1. 6 km 5 miles = 8 km 1 km = 0. 625 mile 8 km = 5 miles 1 lb = 0. 454 kg 1 stone = 6. 36 kg 1 kg = 2. 2 lbs 1 gallon = 4. 54 litres 1 pint = 0. 57 litre 1 litre = 1. 76 pints 10 litres = 2. 2 gallons Some approximate!!! Menu © Boardworks Ltd 2001

Key Conversions 5 miles = 8 kilometres Example 30 miles = ? ? 30 divided by 5 = 6 6 x 8 = 48 km 1 inch = 2. 54 centimetres Example 12 inches = ? ? 2 x 12 + 0. 5 x 12 = 24 + 6 = 30 cm (30. 48 cm) 1 stone = 6. 4 kilograms (approx) Example 8 stone = ? ? 6 x 8 + 0. 5 x 8 = 48 + 4 = 52 kg (51. 2 kg) Menu © Boardworks Ltd 2001

“km and miles” 1 Metric Units Imperial Units 1. 8 kilometres A. 30 miles 2. 40 kilometres B. 10 miles 3. 160 kilometres C. 25 miles 4. 48 kilometres E. 5 miles 5. 80 kilometres D. 50 miles 6. 16 kilometres F. 100 miles Click for Answers Menu © Boardworks Ltd 2001

“km and miles” 1 Metric Units Imperial Units 1. 8 kilometres E. 5 miles 2. 40 kilometres C. 25 miles 3. 160 kilometres F. 100 miles 4. 48 kilometres A. 30 miles 5. 80 kilometres D. 50 miles 6. 16 kilometres B. 10 miles Menu © Boardworks Ltd 2001

“km and miles” 2 Metric Units Imperial Units 1. 24 kilometres A. 5 miles 2. 800 kilometres B. 15 miles 3. 56 kilometres C. 2. 5 miles 4. 4 kilometres D. 500 miles 5. 80 kilometres E. 35 miles 6. 8 kilometres F. 50 miles Click for Answers Menu © Boardworks Ltd 2001

“km and miles” 2 Metric Units Imperial Units 1. 24 kilometres B. 15 miles 2. 800 kilometres D. 500 miles 3. 56 kilometres E. 35 miles 4. 4 kilometres C. 2. 5 miles 5. 80 kilometres F. 50 miles 6. 8 kilometres A. 5 miles Menu © Boardworks Ltd 2001

“km and miles” 3 Metric Units Imperial Units 1. 72 kilometres A. 5 miles 2. 160 kilometres B. 45 miles 3. 40 kilometres C. 200 miles 4. 12 kilometres D. 100 miles 5. 8 kilometres E. 7. 5 miles 6. 320 kilometres F. 25 miles Click for Answers Menu © Boardworks Ltd 2001

“km and miles” 3 Metric Units Imperial Units 1. 72 kilometres B. 45 miles 2. 160 kilometres D. 100 miles 3. 40 kilometres F. 25 miles 4. 12 kilometres E. 7. 5 miles 5. 8 kilometres A. 5 miles 6. 320 kilometres C. 200 miles Menu © Boardworks Ltd 2001

“cm and inches” 1 Metric Units Imperial Units 1. 2. 5 centimetres A. 10 inches 2. 50 centimetres B. 30 inches 3. 10 centimetres C. 1 inch 4. 25 centimetres D. 40 inches 5. 100 centimetres E. 4 inches 6. 75 centimetres F. 20 inches Click for Answers Menu © Boardworks Ltd 2001

“cm and inches” 1 Metric Units Imperial Units 1. 2. 5 centimetres C. 1 inch 2. 50 centimetres F. 20 inches 3. 10 centimetres E. 4 inches 4. 25 centimetres A. 10 inches 5. 100 centimetres D. 40 inches 6. 75 centimetres B. 30 inches Menu © Boardworks Ltd 2001

“cm and inches” 2 Metric Units Imperial Units 1. 125 centimetres A. 60 inches 2. 150 centimetres B. 12 inches 3. 60 centimetres C. 4 inches 4. 2. 5 centimetres D. 24 inches 5. 30 centimetres E. 1 inch 6. 10 centimetres F. 40 inches Click for Answers Menu © Boardworks Ltd 2001

“cm and inches” 2 Metric Units Imperial Units 1. 125 centimetres F. 40 inches 2. 150 centimetres A. 60 inches 3. 60 centimetres D. 24 inches 4. 2. 5 centimetres E. 1 inch 5. 30 centimetres B. 12 inches 6. 10 centimetres C. 4 inches Menu © Boardworks Ltd 2001

“cm and inches” 3 Metric Units More accurate !! Imperial Units 1. 25. 4 centimetres A. 3. 94 inches 2. 127 centimetres B. 1 inch 3. 30. 5 centimetres C. 50 inches 4. 100 centimetres D. 10 inches 5. 2. 54 centimetres E. 39. 4 inches 6. 10 centimetres F. 12 inches Click for Answers Menu © Boardworks Ltd 2001

“cm and inches” 3 Metric Units More accurate !! Imperial Units 1. 25. 4 centimetres D. 10 inches 2. 127 centimetres C. 50 inches 3. 30. 5 centimetres F. 12 inches 4. 100 centimetres E. 39. 4 inches 5. 2. 54 centimetres B. 1 inch 6. 10 centimetres A. 3. 94 inches Menu © Boardworks Ltd 2001

“kg and stone” 1 Rough estimates!! Metric Units 1. 6 kilograms Imperial Units A. 5 stone 2. 100 kilograms E. 1 stone 3. 60 kilograms C. 4. 30 kilograms D. 10 stone 5. 24 kilograms B. 6. F. 17 stone 48 kilograms 8 stone 4 stone Click for Answers Menu © Boardworks Ltd 2001

“kg and stone” 1 Rough estimates!! Metric Units 1. 6 kilograms Imperial Units E. 1 stone 2. 100 kilograms F. 17 stone 3. 60 kilograms D. 10 stone 4. 30 kilograms A. 5 stone 5. 24 kilograms B. 4 stone 6. C. 8 stone 48 kilograms Menu © Boardworks Ltd 2001

“kg and stone” 2 Rough estimates!! Metric Units 1. Imperial Units 18 kilograms A. 20 stone 2. 120 kilograms B. 5 stone 3. 36 kilograms C. 11 stone 4. 30 kilograms D. 1 stone 5. 70 kilograms E. 3 stone 6. F. 6 stone 6 kilograms Click for Answers Menu © Boardworks Ltd 2001

“kg and stone” 2 Rough estimates!! Metric Units 1. Imperial Units 18 kilograms C. 3 stone 2. 120 kilograms F. 20 stone 3. 36 kilograms D. 6 stone 4. 30 kilograms A. 5 stone 5. 70 kilograms C. 11 stone 6. B. 1 stone 6 kilograms Menu © Boardworks Ltd 2001

“kg and stone” 3 Rough estimates!! Metric Units Imperial Units 1. 18 kilograms A. 15 stone 2. 90 kilograms B. 5 stone 3. 6 kilograms C. 10 stone 4. 30 kilograms D. 7 stone 5. 60 kilograms E. 3 stone 6. F. 1 stone 42 kilograms Click for Answers Menu © Boardworks Ltd 2001

“kg and stone” 3 Rough estimates!! Metric Units Imperial Units 1. 18 kilograms E. 2. 90 kilograms A. 15 stone 3. 6 kilograms F. 1 stone 4. 30 kilograms B. 5 stone 5. 60 kilograms C. 10 stone 6. D. 7 stone 42 kilograms 3 stone Menu © Boardworks Ltd 2001

Mixed Units 1 Metric Units Rough estimates!! Imperial Units 1. 1 metre A. 50 miles 2. 30. 5 centimetres B. 10 feet 3. 2. 54 centimetres C. 39 inches 4. 10 metres D. 1 foot 5. 80 kilometres E. 1 inch 6. 3 metres F. 11 yards Menu © Boardworks Ltd 2001

Mixed Units 1 Metric Units Imperial Units 1. 1 metre C. 39 inches 2. 30. 5 centimetres D. 1 foot 3. 2. 54 centimetres E. 1 inch 4. 10 metres F. 11 yards 5. 80 kilometres A. 50 miles 6. 3 metres B. 10 feet Menu © Boardworks Ltd 2001

Mixed Units 2 Metric Units Imperial Units 1. 1600 kilometres A. 250 miles 2. 75 kilograms B. 5 stone 3. 2. 54 centimetres C. 11. 8 stone 4. 1625 metres D. 1000 miles 5. 31. 8 kilograms E. 1 mile 6. 400 kilometres F. 1 inch Menu © Boardworks Ltd 2001

Mixed Units 2 Metric Units Imperial Units 1. 1600 kilometres D. 1000 miles 2. 75 kilograms C. 11. 8 stone 3. 2. 54 centimetres F. 1 inch 4. 1625 metres E. 1 mile 5. 31. 8 kilograms B. 5 stone 6. 400 kilometres A. 250 miles Menu © Boardworks Ltd 2001

Mixed Units 3 Metric Units Imperial Units 1. 20 metres A. 3. 94 inches 2. 95. 5 kilograms B. 13 yards 3. 30. 5 centimetres C. 21. 7 feet 4. 80 kilometres D. 1 foot 5. 10 centimetres E. 50 miles 6. 12 metres F. 15 stone Menu © Boardworks Ltd 2001

Mixed Units 3 Metric Units Imperial Units 1. 20 metres C. 21. 7 feet 2. 95. 5 kilograms F. 15 stone 3. 30. 5 centimetres D. 1 foot 4. 80 kilometres E. 50 miles 5. 10 centimetres A. 3. 94 inches 6. 12 metres B. 13 yards Menu © Boardworks Ltd 2001