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Measure proportion & graph

Measure proportion & graph. Metric to metric Imperial to imperial Metric to imperial and vice versa. Metric Review. Length. Weight / Mass. Capacity / volume. 1 cm = 10mm 10mm = 1cm Conversion unit 10. 1 tonne (t) = 1000 kg 1000kg = 1 tonne (t) Conversion unit 1000. 1lt = 1000ml

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Measure proportion & graph

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  1. Measureproportion & graph Metric to metric Imperial to imperial Metric to imperial and vice versa

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

  3. 10 mm = 1cm1cm = 10mm Plot (0,0) (1.10) (2,20) Extend your line and read from your graph to convert mm to cm or vice versa

  4. 100cm = 1m1m = 100cm Plot (0,0) (1.100) (2,200) Extend your line and read from your graph to convert cm to m or vice versa

  5. 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

  6. 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. Converting large units to small units you MULTIPLY By the conversion rate So jug has to be used 10 times

  7. On a graph 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

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

  9. On a graph EASY 1000(t) = kg Kg=1000(t) Plot: (1,1000) (0.5,500) (0,0) Draw your line and read what you want. 1000x = y y=1000x

  10. 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

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

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

  13. 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? Converting large units to small units you MULTIPLY By the conversion rate Together they are 8lb 1oz Converting small units to large units you DIVIDE by the conversion rate

  14. 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

  15. 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

  16. Converting between Metric and Imperial units • You must learn the following conversions Metric Imperial 1 kg 2.2 pounds 1 litre 1.75 pints 30 cm litre 1 foot 30 cm 12 inches miles km 5 miles 8 km

  17. Strategy Interpret the answer in context. 8 ÷ 5 = 1.6 1.6 is conversion unit

  18. Question

  19. 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

  20. Question

  21. 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

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

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