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Maths Summer 2 Units of Measure

This week will follow a similar format to last week: 3 lessons and then 2 days to

complete a project and publish it on Purple Mash.

Lesson 6 Metric and Imperial Equivalences

Normally in school we focus on metric measures. These are measures that can be converted by

multiplying and dividing by 10. Examples include milimetres, centimetres, metres and kilometres, for

length; mililitres and litres, for capacity; and grams and kilograms, for mass.

Imperial Measures (non-metric) include inches, feet,

yards and miles, for length; pints and gallons, for capacity; and ounces, pounds and stones, for mass.

Confusingly, in the UK, we often jump between metric and imperial measures.

For examples, we often measure small lengths in cm

and metres but then distances are measured in miles. Have you noticed that all road instructions (directions and speed) here are linked to miles but in Europe they

use kilometre?

Some recipes use grams; others use ounces.

Some people weigh themselves (which is actually finding their mass) in kilograms; others find it in stones

and pounds.

This lesson we are going to look at the difference between some of these measures.

There will be no main activity worksheet for this

lesson.

Just read through the slides and make notes in your home learning book as you go.

Litres and Pints – Measures of liquid capacity

1 pint = 0.57 litres

To get from 1 pint to 2 pints, you multiply by 2; therefore you need to do the same to the litres. 0.57 x 2 = 1.14

So therefore, 3 pints must be the same as 1.71 litres (1 pint x

3 = 3 pints; 3.57 litres x 3 = 1.71 litres)

Therefore, 2 pints = 1.14 litres

How did I work that out?

Litres and Pints – Measures of liquid capacity

1 litre = 1.75 pints

To get from 1 litre to 4 litres, you multiply by 4; therefore you need to do the same to the pints. 1.75 x 4 = 7.

Therefore, 4 litres = 7 pints

How did I work that out?

Litres and Pints

Milk is sold in pint, 2 pint, 4 pint or 6 pint cartons. A cook requires 2 litres of milk. Which would be the

smallest carton of milk the cook could buy?



Litres and Pints

Milk is sold in pint, 2 pint, 4 pint or 6 pint cartons. A cook requires 2 litres of milk. Which would be the

smallest carton of milk the cook could buy?



4 pints = 2.28 litres or 2 litres = 3.5 pints 4 pint carton

Centimetres and Inches – Measures of Length

1 inch = 2.5cm

1 inch x 2 = 2 inches; 2.5cm x 2 = 5cm

How many cm in 2 inches?

2 inches = 5cm

Centimetres and Inches

Some pieces of wood are still sold in inches.

These are known as 2 x 2, because the square end is 2 inches x 2 inches.

What is the area of the end in square centimetres?

1 inch = 2.5cm

1 cm = 0.4 inches

Centimetres and Inches

Show Answers

Hide Answers

Some pieces of wood are still sold in inches.

These are known as 2 x 2, because the square end is 2 inches x 2 inches.

What is the area of the end in square centimetres?

1 inch = 2.5cm

1 cm = 0.4 inches

25cm²

Centimetres, Inches and Feet

A 30cm ruler sometimes measures inches on the other side.

How many feet are approximately the same as 30cm?

1 inch = 2.5cm

1 foot = 12 inches

Centimetres, Inches and Feet

Show Answers

Hide Answers

A 30cm ruler sometimes measures inches on the other side.

How many feet are approximately the same as 30cm?

1 inch = 2.5cm

1 foot = 12 inches

1 foot

Metres and Yards– Measures of Length

1 yard x 2 = 2 yards; 0.91m x 2 = 1.82m

How many metres in 2 yards?

2 yards = 1.82m

1 yard = 0.91m

Metres and Yards

A running track was previously measured in yards. One lap was 440 yards. To the nearest 10

metres, how many metres is 440 yards?

1 yard = 0.91m

1 metre = 1.09 yards

Metres and Yards

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Hide Answers

A running track was previously measured in yards. One lap was 440 yards. To the nearest 10

metres, how many metres is 440 yards?

1 yard = 0.91m

1 metre = 1.09 yards

400m

Pound and Kilogram

A new born baby weighed 8lb. How much was this in kg?

1 lb = 0.45 kg

1 kg = 2.2 lb

Pound and Kilogram

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A new born baby weighed 8lb. How much was this in kg?

1 lb = 0.45 kg

1 kg = 2.2 lb

3.6kg

5 miles = 8km

Kilometres and Miles

In the UK distances are measured in miles, but in Europe they are measured

in kilometres.

Hint 1: Work out how to get from 5 miles to 85

miles by multiplying first.

Hint 2: Divide 1420km by 8km first.

Journey Miles Kilometres

Manchester to

Birmingham 85

Paris to Rome 1420

5 miles = 8km

Kilometres and Miles

Show Answers

Hide Answers

In the UK distances are measured in miles, but in Europe they are measured

in kilometres.

Hint 1: Work out how to get from 5 miles to 85

miles by multiplying first.

Hint 2: Divide 1420km by 8km first.

Journey Miles Kilometres

Manchester to

Birmingham 85 136

Paris to Rome 887.5 1420

Lesson 7

Using conversion graphs to convert between kilometres

and miles.

https://www.twinkl.co.uk/

Success Criteria

Aim

• Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit.

• Statement 2

• Sub statement This lesson we are going to look at a different way to

convert between metric and imperial measures.

Aim I can use a conversion graph to convert

between miles and kilometres.

Why Do We Need Conversion Graphs?

Conversion graphs are a quick and easy way to change from one unit of

measurement to another without having to do any calculations. All you

have to do is read from the line on the graph.

Why Do We Need Conversion Graphs?

We often need to convert between measurements because, in the UK, we regularly

use a mix of imperial and metric measurements such as pints, centimetres,

miles, kilometres, stones and grams. Also, the rest of the world uses a range of measurements, so we need to be able to convert between these.

0

10

20

30

40

50

60

70

80Graph to Convert Miles and Kilometres

Miles

Kilo

met

res

10 0 20 30 40 50 60 70 80

Constructing Conversion Graphs

Reading from a conversion graph is simple if you look carefully. Identify which axis is

which. If you are converting from miles to kilometres, go along the x-axis to the

amount to be converted, then go up to the conversion line. Go across to the y-axis

and read where it comes to.

x

y

0

10

20

30

40

50

60

70


Miles

Kilo

met

res

10 0 20 30 40 50 60 70 80


To convert from kilometres to miles, go up the y axis to the

amount to be converted, then go across to the conversion line. Go

down to the x axis and read where it comes to.

To convert from kilometres to miles, go up the y-axis to the amount to be converted, then go across to the conversion line. Go down to the

x-axis and read where it comes to.

0

10

20

30

40

50

60

70


Miles

Kilo

met

res

10 0 20 30 40 50 60 70 80


Use the conversion

graph to convert the following:

30 kilometres =

? miles

35 miles = ?

kilometres

Find 30 kilometres on the y-axis. Go across to the line, then find the number of miles on the x-axis.

30 kilometres ≈ 19 miles

Find 35 miles on the x-axis. Go up to the line, then find the number

of kilometres on the y-axis.. 35 miles ≈ 56 kilometres

Please pick one of these sheets to complete. They are all in the same file on the website.

(Remember: If you can’t print the sheet, just write the answers in your book.)

Lesson 8 – When to use different units of measure

As we have found out so far this week, the are lots of different units of measure.

Today we are going to look more about when different ones are used and compare their sizes.

Please work through the slides and answer the questions in your book. At the end, there is a quick activity on Purple Mash for you to complete either today or tomorrow.

Introduction

First, let’s recap the abbreviations (shortened versions). Match the unit of measurements to their abbreviations.

© Classroom Secrets Limited 2019

kilogram

centimetres

kilometres

mililitres

km

ml

kg

cm

Introduction

Match the unit of measurements to their abbreviations.


centimetres

kilometres

mililitres

kilogram km

ml

kg

cm

Introduction

Here some imperial abbreviations. Can you match them?


yards

pound

ounces

pint

lb

pt

yd

oz

inches “

Introduction

Here some imperial abbreviations. Some of these are a little less obvious. Can you match them?


yards

pound

ounces

pint

lb

pt

yd

oz

inches “

Varied Fluency 1

Match the unit of metric measurements to the correct categories.


weight

length

capacity

millimetres

grams

litres

centilitres

Varied Fluency 1

Match the unit of metric measurements to the correct categories.


weight

length

volume

millimetres

grams

litres

centilitres

Varied Fluency 1

Match the unit of imperial measurements to the correct categories.


weight

length

capacity

feet

pounds

pints

gallons

Varied Fluency 1

Match the unit of imperial measurements to the correct categories.


weight

length

volume

feet

pounds

pints

gallons

Varied Fluency 2

Circle the odd one out.


A. 5mm

B. 12 yards

C. 2.5kg

D. The length of a football pitch

Varied Fluency 2

Circle the odd one out.

2.5kg is the odd one out; the others are all units of length.

A. 5mm

B. 12 yards

C. 2.5kg

D. The length of a football pitch


Varied Fluency 3

Tick the noun that is more likely to be 100m long.


hall

running track

bench


Varied Fluency 4

Estimate which is the most accurate statements for a child.

She is 125 cm tall.

She weighs 20g.

She weighs 20kg.

1

2


Varied Fluency 4

Estimate which are the most accurate statements for a child.

She is 125 cm tall. 1

2

She weighs 20g.

She weighs 20kg.

Reasoning 1

Felicity is measuring the height of her classmates’ and recording her results.

She has forgotten to write the unit of measurement.

Which unit of measure could she be using for each height?

Convince me.

Peter 1.1

Lizzy 102

Isla 0.9

Jimmy 4


Reasoning 1

Felicity is measuring the height of her classmates’ and recording her results.

She has forgotten to write the unit of measurement.

Which unit of measure could she be using for each height?

Convince me.

Various answers, for example: as shown above.

All the heights are similar and in a class of children, there wouldn’t

be too much difference in their heights.

Peter 1.1 m

Lizzy 102 cm

Isla 0.9 m

Jimmy 4 feet



Reasoning 2

The children are estimating how far it is to walk to assembly.

Who do you agree with and why?

I think it will be around 117 m.

Sam

India

I think it will be around 117.5cm.

1

2


Reasoning 2



I agree with Sam because…


Sam

India


1

2


Reasoning 2



Various answers, for example:

I agree with Sam because metres greater unit of measure than cm.

In context, 117.5 cm is about the length of a table.


Sam

India


1

2

Please try the quick activity on Purple Mash.

It is called ‘Units of Measure’ and should be set as a 2do.

Lessons 9 and 10 – The Project

This week your challenge is to estimate and then research the length, mass and capacity of different things.

I have placed on the website a sheet of different measures. You need to estimate which ones are correct and explain to me how you came to your decision. You can either add to the original document and then save that on to Purple Mash or create a new document. If you are able to, try discussing them with someone else in your family before writing anything.

Continued on next slide.

Lessons 9 and 10

If you are able to, please then research some of them to find out the correct answer (make sure you do this after your estimation). You could add your findings to your write-up as well.

An extra challenge could be to create your own similar questions/statements for others to estimate. I will make a post on the blog for you to add them to. Please make sure you know the answer so that you can tell others if they are right or not.

Lessons 9 and 10

Here are some examples of statements from the sheet and how I might answer them.

The average height of a robin is 13cm/23cm/33cm.

I think the average height of a robin is 13cm. The reason I think this is because the other measurements seem too big. 33cm is bigger than a school ruler and a robin is definitely not that tall. I also think a robin is smaller than my hand which would make it closer to 13cm than 23cm.

Lessons 9 and 10

Here are some examples of statements from the sheet and how I might answer them. The distance from Woodley precinct to Willow Bank Junior School is 0.1 miles/1 mile/10 miles. I think the distance is 1 mile. The reason I think this is because I can walk that journey in about 20 minutes and people walk around 3 miles per hour. Therefore it would take 1/3 of an hour to walk 1 mile. 1/3 of a mile is 20 minutes. I also think that 10 miles would cover more than Woodley. Also, if 5 miles = 8km, then 1 mile = 1.6 km and 0.1miles = 0.16km. 0.16km is the same as 100m and I think it is more than 100m between school and the precinct.

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