# Measures

FS Maths
Measure conversions
1 / 40
Slide 1: Tekstslide
MathematicsUpper Secondary (Key Stage 4)GCSE

In deze les zitten 40 slides, met interactieve quizzen en tekstslides.

Lesduur is: 90 min

## Onderdelen in deze les

FS Maths
Measure conversions

#### Slide 1 -Tekstslide

How are you feeling today?
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#### Slide 2 -Poll

Bill is a builder. On Monday he made mortar mix. He used 24 kg of sand and 5 kg of cement. On Tuesday Bill will make the same type of mortar mix. He will use 36 kg of sand.

How much cement does he need to make the same type of mortar mix?

Sand : Cement

24 : 5

1 : 0.208

36 : 7.5

Sand : Cement

24 : 5

12 : 2.5

36 : 7.5

#### Slide 4 -Tekstslide

Lesson Aim
Today you will learn how to convert between metric measures.

You will also learn how to convert between metric and imperial measures using conversion factors & graphs.

#### Slide 5 -Tekstslide

Lesson objectives
1. Convert between units of length, weight and capacity in metric systems.
2. Convert between metric measures & imperial measures using conversion factors.
3. Convert between measures using conversion graphs.

#### Slide 6 -Tekstslide

When do we see or use measurements?

#### Slide 7 -Woordweb

What units do we use in the metric system for…

Capacity
Weight
Length
cm
mm
m
km
mg
g
kg
cl
L
ml

#### Slide 8 -Sleepvraag

Length
Length
1 centimetre (cm)
= 10 millimetres (mm)

1 metre (m)
= 100 centimetres (cm)

1 kilometre (km)
= 1,000 metres (m)

#### Slide 10 -Tekstslide

Length
Weight
1 gram (g)
= 1,000 milligrams (mg)

1 tonne (t)
= 1,000 kilograms (kg)

1 kilogram (kg)
= 1,000 grams (g)

#### Slide 12 -Tekstslide

Length
Capacity
1 centilitre (cl)
= 10 millilitres (ml)

1 litre (L)
= 1,000 millilitres (ml)

1 litre (L)
= 100 centilitres (cl)

#### Slide 14 -Tekstslide

Convert 350 cm into m
A
35 m
B
3500 m
C
3.5 m
D
0.35 m

#### Slide 15 -Quizvraag

Convert 4.4 cm into mm
A
440 mm
B
0.44 mm
C
0.044 mm
D
44 mm

#### Slide 16 -Quizvraag

Convert 2000 g into kg
A
20,000 kg
B
2 kg
C
200 kg
D
20 kg

#### Slide 17 -Quizvraag

Convert 9.09 kg into g
A
90,090 g
B
90.9 g
C
9,090 g
D
909 g

#### Slide 18 -Quizvraag

Convert 2350 ml into litres
A
235 l
B
2.35 l
C
23500 l
D
23.5 l

#### Slide 19 -Quizvraag

Convert 75 cl into ml
A
750 ml
B
7500 ml
C
7.5 ml
D
7,500 ml

#### Slide 20 -Quizvraag

Write down any imperial measurement units for length, weight & capacity?

#### Slide 21 -Woordweb

Imperial units of length
•  Inch
•  Foot/feet
•  Yard
•  Mile
Conversions:

• 1 inch = 2.54 cm
• 1 mile = 1.6 km

#### Slide 22 -Tekstslide

The distance between 2 drink stations along a marathon route is 5 miles.

1 kilometre (km) = 0.6214 mile

What is the distance in kilometres to two decimal places?

• 5 ÷ 0.6214
• = 8.0463469
• = 8.05 km

#### Slide 23 -Tekstslide

A swimmer has been using a pool with a 50-yard length.

How many lengths would the swimmer need to do in the 25 m length pool to equal 10 lengths in the 50-yard pool?

1 yard = 0.9144 metres

timer
4:00

#### Slide 24 -Tekstslide

• 50 x 0.91444 = 45.722 m
• 45.722 x 10 = 457.22 m
• 457.22 ÷ 25 = 18.2888
• = 19 lengths
• 10 lengths x 50 = 500 yards
• 500 x 0.91444 = 457.22 m
• 457.22 ÷ 25 = 18.2888
• = 19 lengths

#### Slide 25 -Tekstslide

Imperial units of weight
•  Ounce (oz)
•  Pound (lb)
•  Stone
Conversions:

• 1 oz = 25 g
• 1 kg = 2.2 lbs

#### Slide 26 -Tekstslide

Isabella weighs 51 kg.

What is this weight to the nearest stone?

Use the conversion 1 kg = 2.2 pounds and 1 stone = 14 pounds.

• 51 x 2.2 = 112.2 pounds
• 112.2 ÷ 14 = 8.014
• = 8 stone

#### Slide 27 -Tekstslide

Children under 4 years old must be seated in a child seat or a trailer. Cycle hire centres need to know the ages and weights of children under 4 years old.

One of the children is 3 ½ years old and weighs 3 stone.
The other is 18 months and weighs 25 pounds.

1 stone = 14 pounds
1 kilogram = 2.2 pounds

What is the weight of each child in kilograms? Round your answers to 2 decimal places.

timer
4:00

#### Slide 28 -Tekstslide

• Child 1 = 3 stones
• 3 stones x 14 pounds
•  = 42 pounds
• 42 ÷ 2.2 pounds
• = 19.09 kg
• Child 2 = 25 pounds
• 25 ÷ 2.2 pounds
• = 11.36 kg

#### Slide 29 -Tekstslide

Imperial units of Capacity
•  Pint
•  Gallon
Conversions:

• 1 gallon = 4.5 L
• 1 litre = 1      pints

43

#### Slide 30 -Tekstslide

A water tank holds 500 litres of water.

Use the conversion 10 litres = 2.2 gallons to find its capacity in gallons.

• Method 1:
• 500 ÷ 10
• = 50
• 50 x 2.2
• = 110 gallons

• Method 2:
• 2.2 ÷ 10
• = 0.22 (1 litre)
• 500 x 0.22
• = 110 gallons

#### Slide 31 -Tekstslide

When Amy is running, she needs to drink 70 fluid ounces of water.

How many litres is this?

Use the conversion 1 pint = 20 fluid ounces and 1 litre = 1     pints

timer
4:00
43

#### Slide 32 -Tekstslide

• 70 ÷ 20 = 3.5 pints
• 3.5 ÷ 1.75 = 2
• = 2 litres

#### Slide 33 -Tekstslide

Converting currency
£1 = €1.18
1) A couple changed £200 into Euros to go on holiday. How much in Euros did they receive?

2) They returned with 54 Euros and exchanged these into pounds. How much in pounds did they receive?

• £200 × 1.18
•  = 236 Euros
• 54 Euros ÷ 1.18
• = £45.76

#### Slide 34 -Tekstslide

Conversion graphs
Use the conversion graph to convert:

(a) 70 kg to pounds

(b) 120 pounds to kg

#### Slide 35 -Tekstslide

Activity
Complete the measures worksheet.
timer
20:00

#### Slide 37 -Open vraag

Review lesson objectives
1. Convert between units of length, weight and capacity in metric systems.
2. Convert between metric measures & imperial measures using conversion factors.
3. Convert between measures using conversion graphs.

#### Slide 38 -Tekstslide

Self-study
Complete the following on BKSB:
• Measures – Length, weight & capacity.
• Measures – Compound measures.

Learning module, skills check & progression check to be completed for each module.