Measurement
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
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.
Unit Conversion
Perimeter
Calculating Circle Perimeters
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Area
Area of a Circle
Area of Triangles
Area of Compound Shapes
Click on this image and it will take you to a site so that you can practise the Area of Compound Shapes.
Surface Area
The total area of the surface of a three-dimensional object.
Example: the surface area of a cube is the area of all 6 faces added together.
The formula is 6 × (Edge Length)2
Example: the surface area of a cube is the area of all 6 faces added together.
The formula is 6 × (Edge Length)2
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Volume of Cubes and Cuboids
Capacity
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Mass
The mass of an object is the amount of matter it contains. The basic unit of mass is the gram (g). Objects with a large mass such as a bag of potatoes would be measured in kilograms (kg). Objects with a very large lass, for example a ship, are measured in tonnes (t).