LengthLength

1 foot = 12 inches1 foot = 12 inches 1 yard =3 feet1 yard =3 feet 1 mile = 1760 yards1 mile = 1760 yardsConverting to metric lengthConverting to metric length 1 inch = 2.5 cm1 inch = 2.5 cm 1 foot = 30.5 cm1 foot = 30.5 cm 1 m = 39 inches1 m = 39 inches 1 mile = 1.6 km or 5 miles = 8 km1 mile = 1.6 km or 5 miles = 8 km

Converting metric and Imperial Converting metric and Imperial Measures in LengthMeasures in Length

Convert 40cm into inches.Convert 40cm into inches.1 inch = 2.5 cm1 inch = 2.5 cm40/2.5 = 16 inches40/2.5 = 16 inches Tim is 6 feet 2 inches tall. Estimate Tims height Tim is 6 feet 2 inches tall. Estimate Tims height

in cm.in cm.1 foot = 12 inches1 foot = 12 inches6 feet =6 x 12 = 72 inches6 feet =6 x 12 = 72 inchesTotal height = 72 + 2 = 74 inchesTotal height = 72 + 2 = 74 inches1 inch = 2.5 cm1 inch = 2.5 cm74 x 2.5 = 185 cm74 x 2.5 = 185 cm

Conversions on lengthConversions on length

How far is 32 km in miles?How far is 32 km in miles?

1 mile = 1.6 km1 mile = 1.6 km

32/1.6 = 20 miles32/1.6 = 20 miles

MassMass

1 pound = 16 ounces1 pound = 16 ounces 14 pounds = 1 stone14 pounds = 1 stone 240 pounds = 1 ton240 pounds = 1 ton

Converting to metric lengthConverting to metric length 1 kg = 2.2 pounds1 kg = 2.2 pounds

Converting Imperial to Metric Converting Imperial to Metric MassMass

Change 5 kg to pounds.Change 5 kg to pounds.1 kg = 2.2 pounds1 kg = 2.2 pounds5 kg = 5 x 2.2 = 11 pounds5 kg = 5 x 2.2 = 11 pounds James weighs 10 stones 6 pounds. Estimate his James weighs 10 stones 6 pounds. Estimate his

weight in kilograms.weight in kilograms.1 stone = 14 pounds1 stone = 14 pounds10 stones = 10 x 14 = 140 pounds10 stones = 10 x 14 = 140 poundsTotal weight in pounds = 140 + 6 = 146 poundsTotal weight in pounds = 140 + 6 = 146 pounds1 kg = 2.2 pounds1 kg = 2.2 pounds146 pounds/2.2 = 66 kg146 pounds/2.2 = 66 kg

Capacity and VolumeCapacity and Volume

1 gallon = 8 pints1 gallon = 8 pints

Converting to metric unitsConverting to metric units 1 litre = 1.75 pints1 litre = 1.75 pints 1 litre = 0.2 gallons1 litre = 0.2 gallons

Conversions on massConversions on mass

How many pints are there in a 4 litre carton How many pints are there in a 4 litre carton of milk?of milk?

1 litre = 1.75 pints1 litre = 1.75 pints

4 x 1.75 = 7 pints4 x 1.75 = 7 pints The capacity of a cars petrol tank is 12 The capacity of a cars petrol tank is 12

gallons. How much does the petrol tank gallons. How much does the petrol tank hold in litres?hold in litres?

1 litre = 0.2 gallons1 litre = 0.2 gallons

12/0.2 = 60 litres12/0.2 = 60 litres

Discrete and Continuous Discrete and Continuous MeasuresMeasures

Discrete MeasuresDiscrete Measures Can only take particular measuresCan only take particular measures The number of people on the bus is 42.The number of people on the bus is 42. My shoe size is 4 ½.My shoe size is 4 ½.

Continuous MeasuresContinuous Measures Measures that can lie within a range of possible Measures that can lie within a range of possible

valuesvalues Height of a mountainHeight of a mountain WeightWeight AgeAge

Continuous Measures Continuous Measures ExamplesExamples

Jane is 160 cm tall to the nearest 10 Jane is 160 cm tall to the nearest 10 cm. What are the limits between cm. What are the limits between which her true height lies?which her true height lies?

The smallest value is 155 cmThe smallest value is 155 cm

The highest value is 164.99999999999 The highest value is 164.99999999999 cm which we take as 165 cmcm which we take as 165 cm

155cm≤ Janes height<165 cm155cm≤ Janes height<165 cm

Continuous Measures Continuous Measures ExamplesExamples

Jane is 160 cm tall to the nearest 1 Jane is 160 cm tall to the nearest 1 cm. What are the limits between cm. What are the limits between which her true height lies?which her true height lies?

The smallest value is 159.5 cmThe smallest value is 159.5 cm

The highest value is 160.4999999999 The highest value is 160.4999999999 cmcm

We take it as 160.5 cm.We take it as 160.5 cm.

159.5 cm159.5 cm≤ Janes height < 160.5 cm≤ Janes height < 160.5 cm

Dimensions and FormulaeDimensions and Formulae

Length (L) has a dimension of 1.Length (L) has a dimension of 1. Area has dimension of Length x Area has dimension of Length x

Length (L²) 2-DLength (L²) 2-D Volume has dimension of Length x Volume has dimension of Length x

Length x Length (LLength x Length (L³) 3-D³) 3-D

Dimensions and Formulae Dimensions and Formulae examplesexamples

In each of these expressions the letters a, b, In each of these expressions the letters a, b, and c represent lengths. Use dimensions to and c represent lengths. Use dimensions to check whether the expressions could check whether the expressions could represent perimeter, area or volume.represent perimeter, area or volume.

1)1) 2a + 3b + 4c2a + 3b + 4c2)2) 2a2a²b +abc²b +abc3)3) 3a3a² +2b(a+c)² +2b(a+c)4)4) 3a + 2ab + c3a + 2ab + c³³