menu © boardworks ltd 2001 measures and units 1 choosing “sensible” units inches km ml cm kg...

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© Boardworks Ltd 2001

Measures and Units 1

Choosing “sensible” units

inches

km ml

cm kg

miles

Converting between units

Distance

Volume

Mass

Height

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Measures 1 Menu

Choosing “sensible” units

Converting between units

1 2 3 4 Pairing Exercises

Examples

Examples

View Application GridIntroduction

1 2 3

1 2 3

1 2 3

1 2 3

Converting km and miles

Converting kg and stone

Converting mixture of units

Converting cm and inches

Standard Conversions

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This unit explores two aspects of using measures: • Making sensible estimates of measurements • Converting quickly between different units It uses the following approaches: • Explanations and Examples• Pairing activities

Hitting keys or clicking moves slides on.

Pressing P undoes the previous step.

USUAL SLIDE CONTROL

INTERACTIVE BUTTONS e.g.

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How much do you think

I weigh?

80 kilometres = 50 miles ??TRUE

or FALSE?

TRUE !!

About 4 tonnes

= 4000 kg

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Half a pint is about how many

millilitres??

8 stone is about 80 kg ?? TRUEor

FALSE?FALSE!!

About 0.284 litre

= 28 ml

8 stone is actually about 50 kg

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“Sensible” Measures Examples

Getting a feel for the right estimate?

Here are some examples to estimate?

The answers are “estimates” so other amounts may also be acceptable!!

The height of a house? (m) 20 metres

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“Sensible” Measures Examples Continued

The volume of a jam jar? (l) 0.5 litre

The weight of a dog ? (kg) 20 kg

London to Newcastle? (km) 450 km

The area of a classroom? (m2) 50 m2

Weight of a loaf of bread? (g) 800g

From Earth to the Moon? (km) 400 000 km

Make an estimate for each of these!!

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1. Volume of a can of drink

2. From Leeds to Sheffield

3. The weight of a coin

4. Length of a finger

5. From Earth to the Moon

6. A tank of petrol

C. 330 millilitres

D. 55 kilometres

F. 5 grams

A. 7 centimetres

B. 400000 kilometres

E. 30 litres

SENSIBLE PAIRS EXAMPLE

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1. Volume of a can of drink C. 330 millilitres

2. From Leeds to Sheffield D. 55 kilometres

3. The weight of a coin F. 5 grams

4. Length of a finger A. 7 centimetres

5. From Earth to the Moon B. 400000 kilometres

6. A tank of petrol E. 30 litres

SENSIBLE PAIRS EXAMPLE

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1. The weight of a baby

D. 4 kilograms

2. The length of a pencil

F. 14 centimetres

3. The length of a car

E. 4 metres

4. A bag of sugar weighs ...

B. 1 kilogram

5. The height of a tree

A. 20 metres

6. A tennis ball weighs ...

C. 40 grams

SENSIBLE PAIRS 1

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1. The weight of a baby D. 4 kilograms

2. The length of a pencil F. 14 centimetres

3. The length of a car E. 4 metres

4. A bag of sugar weighs ... B. 1 kilogram

5. The height of a tree A. 20 metres

6. A tennis ball weighs ... C. 40 grams

SENSIBLE PAIRS 1

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1. Volume of a bottle of wine

B. 1 litre 2. From London to Brighton

F. 65 kilometres

3. The volume of a bucket

E. 12 litres

4. Length of a sprint race

A. 100 metres

5. From Earth to the Moon

D. 400000 kilometres

6. A spoonful of medicine

C. 5 millilitres

SENSIBLE PAIRS 2

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1. Volume of a bottle of wine B. 1 litre

2. From London to Brighton F. 65 kilometres

3. The volume of a bucket E. 12 litres

4. Length of a sprint race A. 100 metres

5. From Earth to the Moon D. 400000 kilometres

6. A spoonful of medicine C. 5 millilitres

SENSIBLE PAIRS 2

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1. From London to Newcastle

C. 500 kilometres

2. A good high jump

D. 2 metres

3. Weight of a woman

A. 60 kilograms

4. Height of a house

E. 15 metres 5. From London to Bristol

F. 160 kilometres 6. Weight of a small bird

B. 50 grams

SENSIBLE PAIRS 3

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1. From London to Newcastle C. 500 kilometres

2. A good high jump D. 2 metres

3. Weight of a woman A. 60 kilograms

4. Height of a house E. 15 metres

5. From London to Bristol F. 160 kilometres

6. Weight of a small bird B. 50 grams

SENSIBLE PAIRS 3

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1. Marathon run

F. 42 kilometres

2. From London to New York

D. 8000 kilometres

3. Volume of water in a bath

E. 200 litres

4. A bucket of sand weighs

A. 10 kilograms

5. Volume of drink in a can

B. 330 millilitres

6. Weight of a car

C. 2000 kilograms

SENSIBLE PAIRS 4

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1. Marathon run F. 42 kilometres

2. From London to New York D. 8000 kilometres

3. Volume of water in a bath E. 200 litres

4. A bucket of sand weighs A. 10 kilograms

5. Volume of drink in a can B. 330 millilitres

6. Weight of a car C. 2000 kilograms

SENSIBLE PAIRS 4

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Converting Units Examples

This section is on “quick conversions” between Imperial and Metric units.

Here are some examples of calculations that can be used to estimate conversions.

Basic conversions need memorising!!!

15 miles = km ? Use ...

15 divided by 5 = 3 3 x 8 = 24 km

5 miles = 8 km

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Converting Units Examples 1

5 inches = cm ? Use ...

2 x 5 + 0.5 x 5 = 10 + 2.5 = 12.5 cm (approx.) (12.7)

1 inch = 2.54 cm

80 km = miles ? Use ...

80 divided by 8 =10 10 x 5 = 50 miles

8 km = 5 miles


2 x 20 + 0.5 x 20 = 40 + 10 = 50 cm (approx.) (50.8)

1 inch = 2.54 cm

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8 gal. = litres ? Use ...

4 x 8 + 0.5 x 8 = 32 + 4 = 36 litres (approx.) (36.32)

1 gal. = 4.54 l

10 stone = kg ? Use ...

6 x 10 + 0.5 x 10 = 60 + 5 = 65 kg (approx.) (63.6)

1 stone = 6.36 kg


2 x 4 + 0.5 x 4 = 8 + 2 = 10 cm (approx.) (10.16)

1 inch = 2.54 cm

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20 gal. = litres ? Use ...

4 x 20 + 0.5 x 20 = 80 + 10 = 90 l (approx.) (90.8)

1 gal. = 4.54 l


6 x 6 + 0.5 x 6 = 36 + 3 = 39 kg (approx.) (38.16)

1 stone = 6.36 kg

200 miles = km ? Use ...

200 divided by 5 = 40 40 x 8 = 320 km

5 miles = 8 km

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2 x 7 + 0.5 x 7 = 14 + 3.5 = 17.5 cm (approx.) (17.78)

1 inch = 2.54 cm

80 km = miles ? Use ...

80 divided by 8 =10 10 x 5 = 50 miles

8 km = 5 miles


6 x 11 + 0.5 x 11 = 66 + 5.5 = 71.5 kg(approx.) (69.96)

11stone = 6.36 kg

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Imperial - Metric Conversions

1 inch = 2.54 cm1 foot = 30.48 cm1 yard = 0. 9144 m

1 mile = 1.6 km5 miles = 8 km

1 lb = 0.454 kg1 stone = 6.36 kg

1 gallon = 4.54 litres1 pint = 0.57 litre

1 cm = 0.39 inch100 cm = 39 inches

1m = 39 inches

1 km = 0.625 mile8km = 5 miles

1 kg = 2.2 lbs

1 litre = 1.76 pints10 litres = 2.2 gallons

Some approximate!!!

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Key Conversions

1 inch = 2.54 centimetres Example 12 inches = ??

2 x 12 + 0.5 x 12 = 24 + 6 = 30cm (30.48 cm)

5 miles = 8 kilometres Example 30 miles = ??

30 divided by 5 = 6 6 x 8 = 48 km

1 stone = 6.4 kilograms (approx) Example 8 stone = ??

6 x 8 + 0.5 x 8 = 48 + 4 = 52 kg (51.2 kg)

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1. 8 kilometres

E. 5 miles

2. 40 kilometres

C. 25 miles 3. 160 kilometres

F. 100 miles

4. 48 kilometres

A. 30 miles

5. 80 kilometres D. 50 miles

6. 16 kilometres

B. 10 miles

Metric Units Imperial Units

“km and miles” 1

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1. 8 kilometres E. 5 miles

2. 40 kilometres C. 25 miles

3. 160 kilometres F. 100 miles

4. 48 kilometres A. 30 miles


6. 16 kilometres B. 10 miles



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1. 24 kilometres

B. 15 miles 2. 800 kilometres

D. 500 miles

3. 56 kilometres

E. 35 miles

4. 4 kilometres

C. 2.5 miles

5. 80 kilometres

F. 50 miles 6. 8 kilometres

A. 5 miles



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4. 4 kilometres C. 2.5 miles





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1. 72 kilometres

B. 45 miles 2. 160 kilometres

D. 100 miles

3. 40 kilometres

F. 25 miles

4. 12 kilometres

E. 7.5 miles 5. 8 kilometres

A. 5 miles

6. 320 kilometres

C. 200 miles



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4. 12 kilometres E. 7.5 miles


6. 320 kilometres C. 200 miles



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1. 2.5 centimetres

C. 1 inch

2. 50 centimetres

F. 20 inches

3. 10 centimetres

E. 4 inches

4. 25 centimetres

A. 10 inches

5. 100 centimetres

D. 40 inches

6. 75 centimetres

B. 30 inches


“cm and inches” 1

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1. 2.5 centimetres C. 1 inch

2. 50 centimetres F. 20 inches

3. 10 centimetres E. 4 inches

4. 25 centimetres A. 10 inches

5. 100 centimetres D. 40 inches

6. 75 centimetres B. 30 inches



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1. 125 centimetres

F. 40 inches

2. 150 centimetres

A. 60 inches

3. 60 centimetres

D. 24 inches 4. 2.5 centimetres

E. 1 inch 5. 30 centimetres

B. 12 inches

6. 10 centimetres

C. 4 inches



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1. 125 centimetres F. 40 inches

2. 150 centimetres A. 60 inches

3. 60 centimetres D. 24 inches

4. 2.5 centimetres E. 1 inch

5. 30 centimetres B. 12 inches

6. 10 centimetres C. 4 inches



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1. 25.4 centimetres

D. 10 inches

2. 127 centimetres

C. 50 inches 3. 30.5 centimetres

F. 12 inches

4. 100 centimetres

E. 39.4 inches 5. 2.54 centimetres

B. 1 inch

6. 10 centimetres

A. 3.94 inches


More accurate !! “cm and inches” 3

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1. 25.4 centimetres D. 10 inches

2. 127 centimetres C. 50 inches

3. 30.5 centimetres F. 12 inches

4. 100 centimetres E. 39.4 inches

5. 2.54 centimetres B. 1 inch

6. 10 centimetres A. 3.94 inches


“cm and inches” 3 More accurate !!

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1. 6 kilograms

E. 1 stone 2. 100 kilograms

F. 17 stone

3. 60 kilograms

D. 10 stone 4. 30 kilograms

A. 5 stone

5. 24 kilograms B. 4 stone

6. 48 kilograms

C. 8 stone


“kg and stone” 1 Rough estimates!!

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1. 6 kilograms E. 1 stone

2. 100 kilograms F. 17 stone

3. 60 kilograms D. 10 stone

4. 30 kilograms A. 5 stone


6. 48 kilograms C. 8 stone



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1. 18 kilograms

E. 3 stone

2. 120 kilograms

A. 20 stone

3. 36 kilograms

F. 6 stone

4. 30 kilograms

B. 5 stone

5. 70 kilograms

C. 11 stone

6. 6 kilograms

D. 1 stone



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1. 18 kilograms

E. 3 stone

2. 90 kilograms

A. 15 stone

3. 6 kilograms

F. 1 stone

4. 30 kilograms

B. 5 stone

5. 60 kilograms

C. 10 stone

6. 42 kilograms

D. 7 stone



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1. 18 kilograms E. 3 stone








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1. 1 metre

C. 39 inches

2. 30.5 centimetres

D. 1 foot

3. 2.54 centimetres

E. 1 inch

4. 10 metres

F. 11 yards

5. 80 kilometres

A. 50 miles

6. 3 metres

B. 10 feet


Mixed Units 1 Rough estimates!!

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1. 1 metre C. 39 inches

2. 30.5 centimetres D. 1 foot

3. 2.54 centimetres E. 1 inch

4. 10 metres F. 11 yards


6. 3 metres B. 10 feet


Mixed Units 1

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1. 1600 kilometres

D. 1000 miles

2. 75 kilograms

C. 11.8 stone 3. 2.54 centimetres

F. 1 inch

4. 1625 metres

E. 1 mile 5. 31.8 kilograms

B. 5 stone

6. 400 kilometres

A. 250 miles


Mixed Units 2

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2. 75 kilograms C. 11.8 stone

3. 2.54 centimetres F. 1 inch

4. 1625 metres E. 1 mile

5. 31.8 kilograms B. 5 stone



Mixed Units 2

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1. 20 metres

C. 21.7 feet

2. 95.5 kilograms

F. 15 stone

3. 30.5 centimetres

D. 1 foot 4. 80 kilometres

E. 50 miles 5. 10 centimetres

A. 3.94 inches

6. 12 metres

B. 13 yards


Mixed Units 3

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1. 20 metres C. 21.7 feet

2. 95.5 kilograms F. 15 stone

3. 30.5 centimetres D. 1 foot


5. 10 centimetres A. 3.94 inches

6. 12 metres B. 13 yards


Mixed Units 3

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