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Geometry and Measurement: Measurement, Level 4

AO1: Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
This means students will work with the commonly used units of the metric system and measurement devices for:

  • Length- kilometre, metre, centimetre, millimetre, using rulers and tape measures
  • Area- square kilometre, hectare, square metre, square centimetre
  • Volume/Capacity- Cubic kilometre, cubic metre, litre (cubic decimetre), cubic centimetre using jugs, measurement cylinders
  • Weight- tonne, kilogram, gram, using scales
  • Temperature- degrees Celcius using thermometers
They should also be able to work with standard units for angle and time, degrees, hours, minutes, seconds. In carrying out measurement tasks students should be able to estimate approximate measurements, select units and devices that are appropriate to the task, e.g. measuring a cup of water in cubic centimetres, read scales with accuracy, e.g. a ruler to the nearest millimetre or a protractor to the nearest degree, and use symbols to record their results, e.g. 45mg (45 milligrams) or 6km 2 ( 6 square kilometres).

AO2: Convert between metric units, using whole numbers and commonly used decimals.
This means students will apply their knowledge of decimal place value to convert between units for the same attribute, e.g. between units for weight. They should know the meaning of prefixes used in the metric system that act as “scalars” on base units, e.g. “kilo” means one thousand, “centi” means one hundredth. Conversions are restricted to whole number and simple decimal (tenth, hundredth, thousandth) scalars, e.g. 5kg = 5000g or 300ml = 0.3L, that act on whole number or decimal measures involving tenths, e.g. 0.6ha = 6000m2 or 675mm = 67.5cm.

AO3: Use side or edge lengths to fi nd the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
At Level Four students should apply their multiplicative strategies to find perimeters and areas of commonly used polygons and volumes of cuboids where the lengths of sides and edges are given as whole number measures. Calculations required are:.

arearectangle. areaparallelogram.     areatriangle.

Rectangle: Area = base x height
Perimeter = 2 x (base x height)

Parallelogram: Area = base x height
Perimeter = 2 x (base + width)

Triangle: Area = 1/2 (base x height)
Perimeter = side + side + side + side

volumecuboid.

Cuboid: Volume = base x height x depth

Students should express the areas and volumes using symbols, e.g. 48cm3 (48 cubic centimetres).

AO4: Interpret and use scales, timetables, and charts.
This means students will be literate in getting required information from the following:

  1. Scales, such as thermometers, analogue (and digital) clocks, rulers, protractors, weight scales, capacity containers.
  2. Timetables, such as those used in transport (12 or 24-hour time), tides, broadcast programming, telephone books (international calls), sports events.
  3. Charts used to convey measurement information, such as weather reports, cooking recipes, Guiness Book of Records, statistics on living organisms.
At Level Four it is expected that students will use the information from scales, timetables and charts in the course of solving problems and select information that is relevant to solving the problem.

Click to download a PDF of second-tier material relating to Level 4 Measurement (150KB)