Measure proportion & graph Metric to metric Imperial to imperial Metric to imperial and vice versa

Metric Review 1cl = 10ml 10 ml = 1 cl Conversion unit 10 1km = 1000m 1000m = 1km Conversion unit l = 100cl 100cl = 1l Conversion unit kg = 1000g 1000g = 1kg Conversion unit m = 100cm 100cm = 1m Conversion unit 100 1lt = 1000ml 1000ml = 1l Conversion unit tonne (t) = 1000 kg 1000kg = 1 tonne (t) Conversion unit cm = 10mm 10mm = 1cm Conversion unit 10 Capacity / volume Weight / Mass Length

10 mm = 1cm 1cm = 10mm Plot (0,0) (1.10) (2,20) Extend your line and read from your graph to convert mm to cm or vice versa

100cm = 1m 1m = 100cm Plot (0,0) (1.100) (2,200) Extend your line and read from your graph to convert cm to m or vice versa

Converting Metric Lengths Converting small units to large units you DIVIDE by the conversion rate Converting large units to small units you MULTIPLY By the conversion rate

1 empty tank with a capacity of 7.4l is filled with water using 80cl jug. Find the minimum number of times the jug is used. conversionWhat we want to know l 17.4 cl 100? So jug has to be used 10 times Converting large units to small units you MULTIPLY By the conversion rate

On a graph axisunits conversionWhat we want to know x l 17.4 y cl 100? EASY Plot: (1,100) (2,200) (3,300) Draw your line and read what you want. 100(l) = cl Cl = 100(l) 100x = y y = 100x

A lift holds a maximum of 0.75 tonnes. How many people who weigh approx 60kg each are allowed in the lift? conversionWhat we want to know t kg 1000? So a maximum of 12 people can fit in lift as you can’t have 0.5 of a person Converting large units to small units you MULTIPLY By the conversion rate

On a graph axisunits conversion What we want to know x t y kg 1000? EASY Plot: (1,1000) (0.5,500) (0,0) Draw your line and read what you want. 1000(t) = kg Kg=1000(t) 1000x = y y=1000x

A tablespoon has a capacity of 15ml. How many spoons of olive oil will I get out of a 1lt bottle? Answer this in the form of a mind map or poster. Include: The Question The extraction of relevant information The calculation The conversion unit for ml and lt A graph A general formula ANY THING ELSE YOU THINK IS RELEVANT

Imperial Review 14 pounds ≈ 1 stone 1 stone ≈ 14 pounds Conversion unit 14 1 yard ≈ 3 feet 3 feet ≈ 1 yard Conversion unit 3 1 gallon ≈ 8 pints 8 pints ≈ 1 gallon Conversion unit 8 1 lb ≈ 16 oz 16 oz ≈ 1 lb Conversion unit 16 1 foot ≈ 12 inches 12 inches ≈ 1 foot Conversion unit 12 Capacity / volume Weight / Mass Length

1 foot is approx 12 inches (conversion rate is 12) I’m 5’ 2’’ so what is that in inches? conversionWhat we want to know in 12’’? feet 1’5’2’’ So I am 62 inches tall Converting large units to small units you MULTIPLY By the conversion rate

A bag of apples weighs 3lb 9oz. A bag of pears weighs 4lb 8oz. How much do the two bags weigh all together in pounds and ounces? conversionWe want to know we want to know lb 1 lb7 lb? oz 16 oz?17oz Together they are 8lb 1oz Converting large units to small units you MULTIPLY By the conversion rate Converting small units to large units you DIVIDE by the conversion rate

Conversion graph plot (0,0) (1,16) (10, 160) draw your line through all 3 points and you can start using your graph to answer Q’s oz = 16 (lb) 16(lb) = oz y = 16 (x) 16x = y

Converting imperial measures Converting small units to large units you DIVIDE by the conversion rate Converting large units to small units you MULTIPLY By the conversion rate

Converting between Metric and Imperial units You must learn the following conversions 5 miles 8 km miles km 12 inches30 cm 1 foot30 cm litre 1.75 pints1 litre 2.2 pounds1 kg ImperialMetric

Strategy Question How many kilometres are there in 3 miles? extract information CalculationAnswer There are 4.8 kilometres in 3 miles Interpret the answer in context. miles53 km8? 8 ÷ 5 = is conversion unit

Question How many kilometres are there in 400 miles? extract information Calculation 8÷5= 1.6 = conversion unit Answer There are 640 km in 400 miles miles5400 km8?

Again plot what you know (0,0) (5,8) (50,80) Conversion rate is 8÷5 = 1.6 km = 1.6 x miles 1.6 x miles = km

Question How many pints is 3 litres? extract information Calculation 1.75 ÷ 1 = 1.75 = conversion rate Answer There are 5.25 pints in three litres. pints1.75? lt13

British police send a suspects details over to the US police force. The person they are looking for is 1.73m in height and 75kg in weight. The Americans don’t use metric and need to change the measures to feet and inches and pounds. Show them how to convert! Answer this in the form of a mind map. Include: The Question The extraction of relevant information The calculations The conversion unit for: – m to cm –cm to feet –Inches to feet –Kg to lb A general formula from the graph or otherwise ANY THING ELSE YOU THINK IS RELEVANT

Numbers split up into the same proportions always give the same conversion unit.