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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
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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. Year 6
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) Year 6
Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Multiply and divide by 10, 100 and 1000 Year 6
Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter Reading scales (weight) Year 6
Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter • Reading scales (capacity) Year 6
Measures and Data Conversion of units: metric and common imperial Conversion line graphs Starter • Reading scales (general) Year 6
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
Day 1: Convert between grams and kilograms, millilitres and litres. • Remember that ‘kilo’ means 1000 (as in kilometre = 1000m). How else can we write one kilogram? 0 1000g 1/2 kg 0.7kg 785g 100g 0.458kg 250g 0.678kg 0.2kg 0.9 kg 500g 0.4kg 300g 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 0.7kg 785g 100g 0.458kg 250g 0.678kg 0.2kg 0.9 kg 500g 0.4kg 300g Year 6
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? 0 2 litres 1000ml 1500ml 1.9 l 1100ml 0.5 l 1875ml 1.6 l 1700ml 1.425 l 1300ml 1.25 l 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 1500ml 1.9 l 1100ml 0.5 l 1875ml 1.6 l 1700ml 1.425 l 1300ml 1.25 l Year 6
Challenge Year 6
Day 1: Convert between grams and kilograms, millilitres and litres. 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. • Look at these containers we’ve collected… Any surprises? • Now let’s arrange the containers in order from those that hold least to those that hold most. Year 6
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
Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Draw a line graph and read intermediate points. Write these distances in metres. 24km 2km 24,000m 2000m 1.5km 0.6km 600m 1500m 0.25km 1.345km 250m 1345m 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? So how many kilometres is the same as 10 miles? 15 miles? 20 miles? 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. 0 • 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... 8 16 24 32 Year 6
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. Year 6
Challenge Year 6
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
Day 3: Know regularly-used imperial units and approximate metric equivalents. Imperial units pintspoundsstones ouncesfeetinches yards • 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? 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?! 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. 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. Year 6
Challenge Year 6
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. 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. • 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? In the table 1kg was approximately equal to 35.3 ounces. Check this on the graph. In the table 1.7kg was approximately equal to 60 ounces. Check this on the graph. + 2kg 1.8kg 1.6kg 1.4kg 1.2kg 1kg 0.8g 0.6g 0.4g 0.2g 0 • 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. + We can double the number of kilograms which are equivalent to 50 ounces. 30oz 40oz 50oz 60oz 70oz 0 10oz 20oz Year 6
Challenges Year 6
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. 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