Measures and Data Units of measurement Objectives Day

Measures and Data Units of measurement Objectives Day 1 Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place). Convert between grams and kilograms, millilitres and litres. Day 2 Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs and read intermediate points. Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. Day 3 Know regularly-used imperial units and approximate metric equivalents. © hamilton-trust. org. uk 1 Year 5/6

Measures and Data Units of measurement Short Mental Workouts Day 1 Reading scales (weight) Day 2 Multiply and divide by 10 and 100 Day 3 Reading scales (capacity) © hamilton-trust. org. uk 2 Year 5/6

Measures and Data Units of measurement Short Mental Workout Reading scales (weight) © hamilton-trust. org. uk 3 Year 5/6

Measures and Data Units of measurement Short Mental Workout Multiply and divide by 10 and 100 © hamilton-trust. org. uk 4 Year 5/6

Measures and Data Units of measurement Short Mental Workout Reading scales (capacity) © hamilton-trust. org. uk 5 Year 5/6

Measures and Data Units of measurement Objectives Day 1 Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place). Convert between grams and kilograms, millilitres and litres. © hamilton-trust. org. uk 6 Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place); Convert between grams and kilograms, millilitres and litres. Sensibly pass around the 1 kg weight… Remember that ‘kilo’ means 1000. 1 kg = 1000 g. How else can we write one kilogram? 0 1000 g 1/ 0. 2 kg 2 kg 300 g 250 g 0. 8 kg 0. 9 kg 700 g 100 g 0. 4 kg 0. 6 kg With a partner, write the weights in order: lightest to heaviest. Which of these weights is closest to 0 g? Which is closest to 1000 g? © hamilton-trust. org. uk 750 g 7 Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place); Convert between grams and kilograms, millilitres and litres. When a card changes colour, if the amount written is in grams write the same amount in kilograms on your whiteboards, and vice versa if the amount is in kilograms. . . 1/ 2 kg 0. 2 kg 250 g 300 g 0. 8 kg 0. 9 kg 750 g 700 g 100 g 0. 4 kg 0. 6 kg What calculations are needed to do these conversions? © hamilton-trust. org. uk 8 Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place); Convert between grams and kilograms, millilitres and litres. This jug holds 1 litre of water… Remember that ‘milli’ means thousandth. 1 l = 1000 ml. How else can we write one litre? 0 2 litres 1000 ml 1. 6 l 1500 ml 0. 5 l 1. 2 l 1700 ml 1. 4 l 1300 ml 1800 ml With a partner, write the amounts in order: least to greatest. Which of these is closest to 0 litres? Which is closest to 2 litres? © hamilton-trust. org. uk 1000 ml 1. 9 l 9 Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place); Convert between grams and kilograms, millilitres and litres. When a card changes colour, if the amount written is in millilitres write the same amount in litres on your whiteboards, and vice versa if the amount is in litres. 1000 ml 1. 6 l 1500 ml 0. 5 l 1. 2 l 1700 ml 1100 ml 1. 9 l 1. 4 l 1300 ml 1800 ml What calculations are needed to do these conversions? © hamilton-trust. org. uk 10 Year 5/6

Challenge © hamilton-trust. org. uk 11 Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres. With a partner, write the weights in order: lightest to heaviest. Which of these weights is closest to 0 g? Which is closest to 1000 g? 0 1000 g 0. 458 kg © hamilton-trust. org. uk 500 g 0. 4 kg 12 250 g 0. 678 kg 785 g Year 5/6

Day 1: Convert between grams and kilograms, millilitres and litres. When a card changes colour, if the amount written is in grams write the same amount in kilograms on your whiteboards, and vice versa if the amount is in kilograms. What happens to the digits in a number when we multiply or divide by 1000? 0. 458 kg © hamilton-trust. org. uk 500 g 250 g 0. 4 kg 13 0. 678 kg 785 g Year 5/6

Challenge © hamilton-trust. org. uk 14 Year 5/6

Measures and Data Units of measurement Objectives Day 2 Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs and read intermediate points. Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. © hamilton-trust. org. uk 15 Year 5/6

Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points; Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. 24 km 24, 000 m 2 km 2000 m 1. 5 km 1500 m 600 m 0. 6 km How can you find these distances as metres? © hamilton-trust. org. uk Multiply each by 1000 to write them in metres. 16 Year 5/6

Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points; Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. 2. 5 km 2500 m 1 km 1000 m 1. 25 km 1250 m 0. 8 km 800 m How can you find these distances as kilometres? © hamilton-trust. org. uk Divide each by 1000 to write them in kilometres. 17 Year 5/6

Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points; Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. How are distances labelled on signs in the UK? In France, for example, distances on signs are in kilometres. A mile is longer than a kilometre, and a good approximate rule to convert from miles to kilometres or vice versa is to remember that 5 miles is approximately 8 km. Miles Kilometres 0 0 5 8 10 16 20 32 80 50 © hamilton-trust. org. uk So, how many kilometres is the same as 10 miles? 20 miles? 50 miles? If you were going on holiday to France, this table could be quite useful! But we can show more distances on a line graph… 18 Year 5/6

Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points; Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. Whole class activity • Plot the line graph started in the whole class teaching, using the squared paper in landscape orientation, going as far as the paper will allow. • Use it to find approximate equivalents to the following: 2. 5 miles, 7. 5 miles, 6 miles, 12 miles, 21 miles, 12 km, 4 km, 10 km, and 20 km. • Use your graph to estimate how many kilometres are equal to 1 mile. © hamilton-trust. org. uk 19 Year 5/6

Challenge © hamilton-trust. org. uk 20 Year 5/6

Challenge © hamilton-trust. org. uk 21 Year 5/6

Measures and Data Units of measurement Objectives Day 3 Know regularly-used imperial units and approximate metric equivalents. © hamilton-trust. org. uk 22 Year 5/6

Day 3: Know regularly-used imperial units and approximate metric equivalents; Know regularly-used imperial units and approximate metric equivalents. Imperial units – which are on your lists? pints pounds stones ounces feet inches yards When are each of these used? Some bags of crisps weigh 28 grams, a very strange number but this is because there were originally ‘ 1 -ounce’ packets. 28 g is approximately 1 ounce. A new born baby might weigh 7 pounds and 8 ounces. There are 16 ounces in a pound. So, how many ounces did the baby weigh? How many bags of crisps is that? ! ’ Many adults will know their weight in stones and pounds rather than kilograms. There are 14 pounds in a stone. 10 kilograms is about the same as 1 stone and 7 pounds. If a child weighs 40 kilograms, what is that in stones and pounds? © hamilton-trust. org. uk 23 Year 5/6

Day 3: Know regularly-used imperial units and approximate metric equivalents; Know regularly-used imperial units and approximate metric equivalents. 30 cm is a funny number to choose for a ruler, but rulers used to be a ‘foot’ long, 12 inches, about 30 cm. How long in inches is a 15 cm ruler? An inch is about an adult thumb width… 1 pint = 568 ml Milk used to come in pint bottles and pubs still serve drinks in pint and half-pint glasses. © hamilton-trust. org. uk 24 Year 5/6

Day 3: Know regularly-used imperial units and approximate metric equivalents; Know regularly-used imperial units and approximate metric equivalents. Whole class activities – groups of 6 In pairs, measure each other's heights in cm. Use the fact that 30 cm is approximately 1 foot, and 21/2 cm is approximately 1 inch, to calculate your partner’s height in feet and inches. Repeat for hand span. Draw line graphs to convert from cm to feet and inches, e. g. go along 3 squares for each 30 cm, and up 6 squares for each foot/12 inches. Use the graph to read your height in feet and inches. 28 g is approximately 1 oz (ounce). Challenge! Calculate how many grams in a pound. Use kitchen scales marked in both units to check. © hamilton-trust. org. uk 25 Year 5/6

Challenge © hamilton-trust. org. uk 26 Year 5/6

Challenge © hamilton-trust. org. uk 27 Year 5/6

Measures and Data Units of measurement Well Done! You’ve completed this unit. Objectives Day 1 Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place). Convert between grams and kilograms, millilitres and litres. Day 2 Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs and read intermediate points. Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. Day 3 Know regularly-used imperial units and approximate metric equivalents. © hamilton-trust. org. uk 28 Year 5/6

Problem solving and reasoning questions Year 5 True or false? 1050 g = 1. 5 Kg. 1 pint is about 1. 5 litres. 4 ounces is a bit more than 100 g. 2. 5 inches = 1 cm. 1 metre is a bit bigger than a yard. If we assume 3 miles = 5 kilometres, write the missing numbers: ☐ km = 30 miles 35 km = ☐ miles = 2. 5 km What imperial unit would be used to measure… The length of a large dog, nose to tail? The weight of a child’s lunch box? The capacity of a baby bath? © hamilton-trust. org. uk 29 Year 5/6

Problem solving and reasoning questions Year 6 Write a familiar object that weighs: (a) 5 Kg (b) 1 pound (c) 100 g Write a familiar container that holds: (a) 1 pint (b) 5 ml (c) 2 gallons True or false? 10 lots of 100 grams are 10 kilograms. One tenth of a litre is 10 ml. Half a pint is about ¼ of a litre. You can weigh people in stones. Use this fact: 5 miles = 8 km 15 miles is ☐ km ☐ miles is 4 km Roughly how many miles is 250 km? © hamilton-trust. org. uk 30 64 km is ☐ miles Year 5/6

Problem solving and reasoning answers Year 5 True or false? 1050 g = 1. 5 Kg False, since it would be 1. 05 kg; 1. 5 kg would be 1500 g. 1 pint is about 1. 5 litres False, it is just over half a litre. 4 ounces is a bit more than 100 g. True, since 1 ounce is approximately 28 g. 2. 5 inches = 1 cm. False. The conversion is the other way around, 1 inch is approximately 2. 5 cm. 1 metre is a bit bigger than a yard. True If we assume 3 miles = 5 kilometres, write the missing numbers: 50 km = 30 miles 35 km = 21 miles 1. 5 miles = 2. 5 km What imperial unit would be used to measure… The length of a large dog, nose to tail? feet and inches. The weight of a child’s lunch box? pounds / ounces. The capacity of a baby bath? pints / gallons. © hamilton-trust. org. uk 31 Year 5/6

Problem solving and reasoning answers Year 6 Write a familiar object that weighs: (a) 5 Kg e. g. cat or small dog. (b) 1 pound e. g. small bag of sugar, a large potato (c) 100 g e. g. bar of soap, small paperback book. Write a familiar container that holds: (a) 1 pint e. g. jug, carton of milk, beer glass. (c) 2 gallons e. g. a bucket. (b) 5 ml e. g. a teaspoon. True or false? 10 lots of 100 grams are 10 kilograms. False, it is 1 kilogram (1000 not 100 grams = 1 kilogram). One tenth of a litre is 10 ml. False, it is 100 ml since 1000 ml = 1 litre. Half a pint is about 1/4 of a litre. True - it is around 280 ml. You can weigh people in stones. True - stones are an Imperial measure of weight. 1 stone = 14 pounds (6. 4 kg) Use this fact: 5 miles = 8 km 15 miles is 24 km 2. 5 miles is 4 km 64 km is 40 miles Roughly how many miles is 250 km? 155 miles © hamilton-trust. org. uk 32 Year 5/6