Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 1 Convert between grams and kilograms, millilitres and litres. Day 2 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. Day 4 Draw a conversion graph of imperial to metric units and use it to read equivalent measures. Before teaching, be aware that: On Day 1 you will need a 1kg weight and a range of labelled containers with capacities between 100ml and 2l, such as 250ml and 168ml (e.g., vinegar, soy sauce, chilli sauce bottles). You may wish to use cards, a washing line and pegs. Children will need mini-whiteboards and pens. On Day 2 you will need a squared background. On Day 3 you will need a bag of crisps, 30cm ruler, pint glass. A day or two before this lesson, ask children to ask their grandparents/parents/carers what imperial measures they use. They write a list of these and bring the list in for this lesson. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starters Day 1 Multiply and divide by 10, 100 and 1000 (pre-requisite skills) Day 2 Reading scales (weight) (simmering skills) Day 3 Reading scales (capacity) (simmering skills) Day 4 Reading scales (general) (simmering skills) Choose starters that suit your class by dragging and dropping the relevant slide or slides below to the start of the teaching for each day. Year 6

Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Multiply and divide by 10, 100 and 1000 Pre-requisite skills – to use this starter, drag this slide to the start of Day 1 Children each write 36 on their whiteboards (or, if you wish, they can choose a 2-digit number to write). Create a dice to show × 10, × 100, × 1000 and ÷ 10, ÷ 100, ÷ 1000, e.g. using https://web.archive.org/web/20160712190444/http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks1/maths/dice/index.htm (you will need to type / rather than ÷). Spin the dice, children follow the instructions. Alternatively, have 6 cards with × 10, × 100, × 1000 and ÷ 10, ÷ 100, ÷ 1000. Select a card at random and ask children to use this operation with their number. Repeat with other 2-digit numbers. Year 6

Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Reading scales (weight) Simmering skills – to use this starter, drag this slide to the start of Day 2 Launch the ITP ‘Measuring scales’. Choose 1000 as the maximum and the interval as 20. These scales measure up to 1kg. Children shut their eyes while you add 170g. Click to hide the weights in the pan. Open your eyes. Talk to your neighbour about how much you think I have added to the scales. Click to reveal the weights on the total to check. Repeat, this time putting 560g, then 690g on the scales. Change the maximum to 500 and the intervals to 10. Choose amounts such as 175g, 255g and 473g, asking children to make estimates of the weights. Year 6

Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Reading scales (capacity) Simmering skills – to use this starter, drag this slide to the start of Day 3 Launch the ITP ‘Measuring cylinder’. Choose 200 as the maximum, treating this as millilitres, and 10 as the interval. Click on the tap to pour fluid in the cylinder. Click to stop when it is between unlabelled divisions. Children agree a capacity with their neighbour before writing the amount on their whiteboards. Click on the scale icon to show the amount in the cylinder. Choose other maximum amounts and intervals and repeat. Year 6

Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Reading scales (general) Simmering skills – to use this starter, drag this slide to the start of Day 4 Give each child a strip of card and paper clip. Your card strip represents the range 0 to 200. Show me 120. Children slide the paper clip to where they think 120 should go on the strip, then compare with their neighbour. Show me 45. Your card strip represents 0 to 1000, show me 667. Show me 450. Repeat with other ranges, e.g. 0 to 1, 0 to 2, 0 to 1,000,000. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 1 Convert between grams and kilograms, millilitres and litres. Year 6

How else can we write one kilogram? Day 1: Convert between grams and kilograms, millilitres and litres. How else can we write one kilogram? Remember that ‘kilo’ means 1000 (as in kilometre = 1000m). 1000g 1/2 kg 250g 0.7kg 785g 100g 0.458kg Show children a 1kg weight. Children move each card to the appropriate place on the line relative to other cards. Ask children to help you to write the corresponding amounts in g or kg under each card as they are moved. 0.2kg 300g 0.9 kg 500g 0.4kg 0.678kg Year 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. 1/2 kg 250g 0.7kg 785g 100g 0.458kg 0.2kg 300g 0.9 kg 500g 0.4kg 0.678kg Year 6

Just as weights can be written two ways, so can other measures. Day 1: Convert between grams and kilograms, millilitres and litres. Just as weights can be written two ways, so can other measures. How else can we write one litre? 2 litres 1000ml 0.5 l 1500ml 1.9 l 1100ml Show children a 1-litre container. Remind children that 1000ml is the same as 1 litre. Children move each card to the appropriate place on the line relative to other cards. Ask children to help you to write the corresponding amounts in litres or millilitres under each card as they are moved. 1.6 l 1.25 l 1700ml 1.425 l 1300ml 1875ml Year 6

Day 1: 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. 1000ml 0.5 l 1500ml 1.9 l 1100ml 1.6 l 1.25 l 1700ml 1.425 l 1300ml 1875ml Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT/ARE/GD: Play a game converting from grams to kilograms and vice versa (1 or 3 decimal places). Year 6

The Practice Sheet on this slide is suitable for most children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Convert from litres to millilitres to order capacities order. Challenge Year 6

Look at these containers we’ve collected… Day 1: Convert between grams and kilograms, millilitres and litres. Look at these containers we’ve collected… 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. Now let’s arrange the containers in order from those that hold least to those that hold most. Any surprises? At the end of the lesson, you might like to do some shared conversion of capacities: Show children the containers you have collected. Make sure these are labelled with their capacities: some labelled in ml and some in litres, e.g. 1.4l. Take particular care when converting 250ml to 0.25 litres, sketching a 1s, 0.1s, 0.01s and 0.001s place value grid if necessary. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 2 Convert between metres and kilometres. Know approximate conversion between miles and km. Draw a line graph and read intermediate points. Year 6

Write these distances in metres. Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. 2km 24km Write these distances in metres. 2000m 24,000m 1.5km 0.6km 1500m 600m 1.345km 0.25km 1345m 250m Year 6

Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. Distances on signs in the UK are shown in miles. Do you know of any countries where distances are shown in kilometres - countries where you have holidayed or where relatives live? 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. So how many kilometres is the same as 10 miles? 15 miles? 20 miles? Miles Kilometres 5 10 15 20 8 We could use the ratio to write more facts in this table. We can find more distances very quickly if we draw a line graph... Using a squared background on the IWB, show children how to draw a horizontal axis labelled ‘Miles’, writing multiples of 5 after each group of 5 squares. Then show them how to label the vertical axis ‘Kilometres’, marking multiples of 2 for each square. Together, plot the first couple of points [(5, 8) and (10, 16)]; join them with a straight line. Show children how we can read off intermediate points, e.g. 21/2 miles. 16 24 32 Year 6

Use your graph to estimate how many kilometres are equal to 1 mile. Day 2: 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, 12.5 miles, 15 miles, 17 miles, 10km, 12km, 19km, and 30km. Use your graph to estimate how many kilometres are equal to 1 mile. Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. One mile is 1609 metres, or 1.609km, so 1.6km is a good approximation. WT: Use an online mapping tool to find places less than 20 miles away from the school. Use the graph to estimate the distance in km, then use the online mapping tool check. GD: Children also make up their own distances to convert. Year 6

Challenge The Practice Sheet on this slide is suitable for most children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Use a line graph to convert from miles to km and vice versa. GD: Children also do the challenge. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 3 Know regularly-used imperial units and approximate metric equivalents. Year 6

28g is approximately 1 ounce. Day 3: Know regularly-used imperial units and approximate metric equivalents. Imperial units pints pounds stones ounces feet inches yards When are these used? Some bags of crisps weigh 28 grams, a very strange number but this is because there were originally ‘1-ounce’ packets. 28g 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?! A day or two before this lesson, ask children to ask their grandparents / parents / carers what imperial measures they use. Bring the list in for this lesson. Use their lists of imperial measures to draw up a list on the board of imperial units other than miles, e.g. pints, pounds, stones, ounces, feet, inches, and yards. Show children a 28g bag of crisps. Pass round the bag so that children see that 1 ounce is very light! 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 1½ stones which is 1 stone and 7 pounds. If a child weighs 20 kg, what is that in stones? And if a child weighs 30 kg? Year 6

Day 3: Know regularly-used imperial units and approximate metric equivalents. This length originates from when rulers used to be a ‘foot’ long, 12 inches, about 30cm. How long in inches is a 15cm ruler? An inch is about an adult thumb width. 1 pint = 568ml Milk used to come in pint bottles and pubs still serve drinks in pint and half-pint glasses. Show a 30cm ruler. Show an empty pint glass and explain that this holds a pint, just over half a litre. Children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT/ARE/GD: Make connections between regularly-used imperial units and familiar objects and contexts. Relate these back to well-known metric equivalents, understanding that some of these are approximate. Year 6

Challenge The Practice Sheet on this slide is suitable for most children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Use conversions between feet and inches to metres and centimetres to order children in terms of height. GD: Children do the challenge, others can also attempt this. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 4 Draw a conversion graph of imperial to metric units and use it to read equivalent measures. Year 6

Day 4: Draw a conversion graph of imperial to metric units and use it to read equivalent measures. Ounces are an imperial measure, still used sometimes in cooking, as are pounds. People also often report babies’ weights in pounds, and one pound is 16 ounces. Remind children that ounces are an imperial measure, still used sometimes in cooking, as are pounds (emphasize this is different to the money pounds!). What is 60 ounces in pounds and ounces? And 67 ounces in pounds and ounces? Year 6

Day 4: Draw a conversion graph of imperial to metric units and use it to read equivalent measures. In the table 1.7kg was approximately equal to 60 ounces. Check this on the graph. In the table 1kg was approximately equal to 35.3 ounces. Check this on the graph. + 2kg 1.8kg 1.6kg 1.4kg 1.2kg 1kg 0.8g 0.6g 0.4g 0.2g Because the relationship between kilograms and ounces is always the same, the graph is a straight line, so we do not need to mark on all the other points. Can you use the graph to estimate how many kilograms are the same as 100 ounces even though 100 ounces is not on the graph? Today would be a great day to use a problem-solving investigation – Weights in a Line – as the group activity, which you can find in this unit’s IN-DEPTH INVESTIGATION box on Hamilton’s website. Alternatively, children can now go on to do differentiated GROUP ACTIVITIES. You can find Hamilton’s group activities in this unit’s TEACHING AND GROUP ACTIVITIES download. WT: Draw a line graph to convert centimetres to inches. ARE/GD: Draw a line graph to convert litres to pints and vice versa. We can double the number of kilograms which are equivalent to 50 ounces. + 10oz 20oz 30oz 40oz 50oz 60oz 70oz Year 6

Challenges The Practice Sheet on this slide is suitable for most children. Differentiated PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box. WT/ARE/GD: Draw a line graph to convert litres to pints and vice versa. Draw a line graph to convert hand measurements in cm to inches. Year 6

Conversion of units: metric and common imperial Conversion line graphs Measures and Data Conversion of units: metric and common imperial Conversion line graphs Objectives Day 1 Convert between grams and kilograms, millilitres and litres. Day 2 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. Day 4 Draw a conversion graph of imperial to metric units and use it to read equivalent measures. You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slide. Year 6

Problem solving and reasoning questions Write a familiar object that weighs… (a) 5 Kg (b) 1 pound (c) 100g 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 10ml • Half a pint is about ¼ of a litre • You can weigh people in stones Use this fact: 5 miles = 8km • 15 miles is km • miles is 4 km • 64 km is miles Roughly how many miles is 250 km? Year 6