1. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Objectives
Day 1
Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
Day 2
Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points.
Day 3
Know regularly used imperial units and approximate metric equivalents.
Before teaching, be aware that:
On Day 1 you will need a 1kg weight and packets weighing less than 1kg. 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.

2. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Starters
Day 1 Reading scales (weight) (pre-requisite skills)
Day 2 Multiply and divide by 10 and 100 (pre-requisite skills)
Suggested for Day 3 Reading scales (capacity) (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.

3. Understand metric and imperial units Reading scales (weight)
Measures and data
Understand metric and imperial units
Starter
Reading scales (weight)
Pre-requisite skills – to use this starter, drag this slide to the start of Day 1
Launch the ITP Measuring scales. Choose 1000 as the maximum and the interval as 50. These scales measure up to 1kg. Children shut their eyes whilst you add 180g. Click to hide the weights in the pan. Open your eyes. Talk to your neighbour about how much you think I’ve added to the scales. Click to reveal the weights on the total to check. Repeat, this time putting 340g on the scales. Change the maximum to 500 and the intervals to 10. Choose amounts such as 152g, 176g and 391g asking children to make estimates of the weights.
Click
HERE
to open Measuring Scales ITP

4. Understand metric and imperial units Multiply and divide by 10 and 100
Measures and data
Understand metric and imperial units
Starter
Multiply and divide by 10 and 100
Pre-requisite skills – to use this starter, drag this slide to the start of Day 2
Write the following distances on the board: 34cm, 6.4cm, 8cm, 0.9cm, 125cm. Children write each distance in mm (× by 10). Write the following: 56cm, 40cm, 200cm, 134cm, 250cm. Children write each as metres (÷ by 100).

5. Understand metric and imperial units Reading scales (capacity)
Measures and data
Understand metric and imperial units
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 20 as the interval. Click on the tap to pour fluid in the cylinder. Click to stop it when it is between unlabelled divisions. Children agree a capacity with neighbour before writing on whiteboards. Click on the scale icon to show the amount in the cylinder. Choose other maxima and intervals and repeat.
Click
HERE
to open Measuring Cylinder ITP

6. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Objectives
Day 1
Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).

7. How else can we write one kilogram?
Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
How else can we write one kilogram?
Remember that ‘kilo’ means 1000.
1000g
1/2 kg
250g
0.8kg
750g
100g
Show children a kilogram 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.
When all cards have been pegged, show packets with weights marked. Ask children to hold them on the correct place on the line. Help children to round each weight to the nearest 100g.
0.2kg
300g
0.9 kg
700g
0.4kg
0.6kg
Round the weight of each packet to the nearest 100g.

8. Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
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.
½ kg
250g
0.8kg
750g
100g
0.2kg
300g
0.9 kg
700g
0.4kg
0.6kg

9. Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
2 litres
1000ml
0.5 l
1500ml
1.9 l
1000ml
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 millilitres or litres under each card as they are moved.
1.6 l
1.2 l
1700ml
1.4 l
1300ml
1800ml

10. Day 1: Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
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
1.2 l
1700ml
1.4 l
1300ml
1800ml
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: Fill in missing amounts on a 0–1kg line. Order containers by eye, then convert from litres to millilitres and vice versa, to check.
ARE/GD: Play a game converting from grams to kilograms and vice versa (1 decimal place).

11. Challenge
The Practice Sheet on this slide is suitable for most children.
Downloadable PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT/ARE/GD: Convert from litres to millilitres so as to put a range of capacities in order.

12. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Objectives
Day 2
Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points.

13. Write these distances in metres. Write these distances in kilometres.
Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points.
2km
24km
2000m
24,000m
Write these distances in metres.
1.5km
0.6km
1500m
600m
1000m
2500m
1km
2.5km
Write these distances in kilometres.
800m
1250m
0.8km
1.25km
13,500m
13.5km

14. Day 2: Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points.
In France, for example, distances on signs are in kilometres
How are distances labelled on signs in the UK?
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? 20 miles?
How could we find how many kilometres are the same as 15 miles? 50 miles?
Miles
Kilometres 10 20 15 50 16 32
Fil in the table together.
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 and then to label the vertical axis ‘Kilometres’, marking multiples of 2 for each square.
Together plot the first couple of points and join them with a straight line. Why would this line go through the zero point?
Model how to read off intermediate points. 24
If you were going on holiday to France, this table could be quite useful! But we can show more distances on a line graph… 80

15. 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; Begin to draw line graphs & 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: miles, 7.5 miles, 6 miles, 12 miles, 21 miles, 12km, 4km, 10km, and 20km.
Use your graph to estimate how many kilometres are equal to 1 mile.
Today would be a great day to use a problem-solving investigation – Inches and Barleycorns – (from NRICH) 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 this WHOLE CLASS ACTIVITY. You can find details of the activity in this unit’s TEACHING AND GROUP ACTIVITIES download.
Sit with different groups, helping them to plot the points on the line graph and read intermediate points.
One mile is 1609 metres, or 1.609km, so 1.6km is a good approximation.
WT: As above using graph with axes ready prepared (see resources).
GD: Children also make up their own distances to convert.

16. Challenge
The Practice Sheet on this slide is suitable for most children.
Downloadable PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.
WT/ARE/GD: Convert from litres to millilitres so as to put a range of capacities in order.

17. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Objectives
Day 3
Know regularly used imperial units and approximate metric equivalents.

18. 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. They write a list of these and 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 1 stone and 7 pounds. If a child weighs 40 kilograms, what is that in stones and pounds?

19. Day 3: Know regularly used imperial units and approximate metric equivalents.
30cm is a funny number to choose for a ruler, but 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: Use known facts to convert between centimetres and inches, kilograms and stones/pounds, litres and pints.
GD: Measure height in cm, convert to inches, draw line graph to check. Work out how many grams are in a pound, use scales to check.

20. Challenge
The Practice Sheet on this slide is suitable for most children.
Downloadable PRACTICE WORKSHEETS are available on Hamilton’s website in this unit’s PROCEDURAL FLUENCY box.

21. Understand metric and imperial units
Measures and data
Understand metric and imperial units
Well Done! You’ve completed this unit.
Objectives
Day 1
Convert between grams and kilograms, millilitres and litres (mainly to 1 decimal place).
Day 2
Convert between metres and kilometres; Know approximate conversion between miles and km; Begin to draw line graphs & read intermediate points.
Day 3
Know regularly used imperial units and approximate metric equivalents.
You can now use the Mastery: Reasoning and Problem-Solving questions to assess children’s success across this unit. Go to the next slide.

22. Problem solving and reasoning questions
Measures and data Unit 1
Problem solving and reasoning questions   
True or false
• 1050g = 1.5Kg
• 1 pint is about 1.5 litres
• 4 ounces is a bit more than 100g
• 2.4 inches = 1 cm
• 1 metre is a bit bigger than a yard
If 3 miles is 5 kilometres, write the missing numbers.
[___] Km = 20 miles
64 km is [___] miles
[___] miles are 2km
What imperial unit would be used to measure…
(i) The length of a large dog, nose to tail?
(ii) The weight of a child’s lunch box?
(iii) The capacity of a baby bath?