Transcript MATHEMATICS Measures – Units, Equipment and Scales Lesson Objectives • The aim of this powerpoint is to help you… • Determine the appropriate ‘units’ to measure.

MATHEMATICS
Measures – Units, Equipment and Scales
Lesson Objectives
• The aim of this powerpoint is to help
you…
• Determine the appropriate ‘units’ to
measure in, for length, mass & capacity
• Determine the appropriate equipment to
use to measure something
• Work out how to interpret different scales
Appropriate measures & equipment
• Given a particular situation you need to decide on
two things…
• What units are most appropriate to use to
measure in
• What is an appropriate measuring device
What do we measure?
• LENGTH or distance
• i.e. How long something is.
• MASS (sometimes called ‘weight’ by mistake)
• i.e. How heavy something is.
• CAPACITY (sometimes called ‘volume’)
• i.e. How much liquid is contained.
Metric Units for Length
LENGTH
• Millimetre [mm]
• Centimetre [cm]
• Metre [m]
• Kilometre [km]
(for very small or thin distances)
(for short distances up to 2 metres)
(for distances up to 2 kilometres)
(for longer distances between places)
• Examples of measuring devices for length are…
• Rulers, Trundle Wheels, Pedometers, Milometers…
Metric Units for Mass
MASS
• Milligram [mg]
• Gram [g]
• Kilogram [kg]
• Tonne [T]
(for very light weights, e.g. feather)
(for very small objects, e.g. a coin)
(for heavier weights, e.g. a person)
(for very large, heavy objects, e.g. car)
• Examples of measuring devices for mass are…
• Kitchen scales, bathroom scales, weighbridges…
Metric Units for Capacity
CAPACITY
• Millilitre [ml]
• Centilitre [cl]
• Litre [l]
(for most small vessels, e.g. spoon)
(also for small containers, e.g. bottle)
(for larger vessels, e.g. petrol tank)
• Examples of measuring devices for capacity are
• Syringes, pipettes, measuring jugs, petrol pumps,
teaspoons, tablespoons…
Sample Situation 1
• You wish to measure the time it takes you to
walk home from school (a distance of about 1.5
miles)… measures & devices?
• It should take you a time in MINUTES
• A WRISTWATCH would be a suitable device (as
opposed to a wall clock or a stopwatch)
Sample Situation 2
• You wish to measure the thickness of a strand
of copper wire…measures & devices?
• It should be a length in MILLIMETRES (or more
likely a fraction of a millimetre)
• A MICROMETER would be a suitable device
(rather than a ruler or tape measure)
SCALES
• When measuring, you need to consider the scale
of each larger marking and therefore the value of
each smaller marking
• You divide the difference between larger
markings by the number of smaller sections there
are between them
• Let’s look at 3 examples…
Example 1
3
4
5
6
• The difference between 3 and 4 is 1.
• Divide this by 10 (smaller sections) and each smaller
marking is worth 1 ÷ 10 = 0.1
• The arrow is pointing at 3 + (4×0.1) = 3.4
Example 2
3
3.5
4
4.5
• The difference between 3.5 and 4 is 0.5
• Divide this by 10 (smaller sections) and each smaller
marking is worth 0.5 ÷ 10 = 0.05
• The arrow is pointing at 3.5 + (6×0.05) = 3.8
Example 3
9
9.1
9.2
9.3
• The difference between 9.1 and 9.2 is 0.1
• Divide this by 5 (smaller sections) and each smaller
marking is worth 0.1 ÷ 5 = 0.02
• The arrow is pointing at 9.1 + (4×0.02) = 9.18
What next?
• Print out the notes called Meas1. Read through them and make
sure you answer any questions.
• Work through the following MyMaths lessons:
• Units of Length: http://app.mymaths.co.uk/293-resource/units-of-length
• Units of Mass: http://app.mymaths.co.uk/294-resource/units-of-mass
• Units of Capacity: http://app.mymaths.co.uk/295-resource/units-of-capacity
• Save and complete the worksheets:
• Meas-S1.xlsx & Scales-S1.xlsx
• Now move on to the Meas2a powerpoint