Measurement
LEVEL 3
GM 3-1 Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time. GM 3-2 Find areas of rectangles and volumes of cuboids by applying multiplication. |
LEVEL 4
GM 4-1 Use appropriate scales, devices and metric units for length, area, volume and capacity, weight (mass), temperature and time. GM 4-2 Convert between metric units, using whole numbers and commonly used decimals. GM 4-3 Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and volumes of cuboids. GM 4-4 Interpret and use scales, timetables and charts. |
LEVEL 5
GM 5-1 Select and use appropriate metric units for length, area, volume, capacity, weight (mass), temperature, angle and time, with awareness that measurements are approximate. GM 5-2 Convert between metric units involving decimals. GM 5-3 Deduce and use formula to find the perimeters and areas of polygons and the volumes of prisms. GM 5-4 Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders. |
In this unit you will learn:
1) The Metric System
2) Reading Scales
3) Introducing Volume, Capacity and Mass
4) Perimeter
5) Area
6) Volume
1) The Metric System
2) Reading Scales
3) Introducing Volume, Capacity and Mass
4) Perimeter
5) Area
6) Volume
1) The metric system and length
Most commonly used metric measure of length are:
- Millimetre: 1000mm = 1m A millimetre is about the width of a pin. It is convenient for very small measures.
- Centimetre: 100cm = 1m A centimetre is about the width of the fingernail of your index finger. It is convenient for small measurements.
- Metre: 1m = 100cm A metre is about the same size as the distance from your fingertips to your opposite shoulder when your arm is outstretched.
- Kilometre: 1000m = 1km A kilometre is about the length of several city blocks. It i convenient for measuring large distances.
2) Reading Scales
To accurately read and measuring instruments, it is important to understand the graduation on the scales of the instrument. 'Graduation' means the way the scales have been divided. When reading scales and measuring length:
- check that the scales start at zero.
- determine what each small division represents
- always include the units in the answer
Click on the image of Scales Reader to take you to a great game...have fun!
3) Introducing volume, capacity and mass
VOLUME
Units of Volume
MASS
Units of Mass
CAPACITY
Units of Capacity
COMPARING VOLUME AND CAPACITY
Units of Volume
- mm3, cm3, m3, km3
- Rectangular prisms (cubiods) may have a different length, width and height. v= length x width x height = l x w x h
- A square prism (cube) has all its edges of equal length V = length x width x height = l x l x l = length cubed
MASS
Units of Mass
- 1 t = 1000 kg One tonne is the same as 1000 kilograms
- 1 kg = 1000 g One kilogram is the same as 1000 grams
- 1 g = 1000 mg One gram is the same as 1000 milligrams
CAPACITY
Units of Capacity
- 1 L = 1000 mL One litre is the same as 1000 millilitres
- 1 kL = 1000 L One kilolitre is the same as 1000 litres
- 1 ML = 1000 kL One megalitre is the same as 1000 kilolitres
- Use a capital L for litres.
COMPARING VOLUME AND CAPACITY
- 1 mL = 1 cm3 One megalitre is the same as i centremetre cubed.
- 1 L = 1000 cm3 One litre is the same as 1000 centremetres cubed.
4) Perimeter
- The perimeter is the DISTANCE around the outside of a two-dimensional object.
- Units of perimeter are millimetre (mm), centimetre (cm), metre (m), and kilometre (km).
- To find the perimeter of a two-dimensional object, add the length of all of the sides together.
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5) Area
- Area is the amount of space covered by a two-dimensional shape.
- Units for area are millimetres squares (mm2), centimetres squared (cm2), kilometres squared (km2) and hectare (ha) (10 000m2).
- An estimate is calculating not the exact answer, but an an approximate answer.
- Calculate the area by multiplying the base x height (b x h).
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6) Volume
- Volume is the amount of space of a three-dimensional object takes up.
- Units for volume are cubic millimetres (mm3), cubic centimetres (cm3), cubic metres (m3), and cubic kilometre (km3).
- To find the volume of an object you multiply the base x length x height.
- v = b x l x w
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