Measurement | NZ Maths

GM6-3: Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae.

GM6-2: Apply the relationships between units in the metric system, including the units for measuring different attributes and derived measures.

GM6-1: Measure at a level of precision appropriate to the task.

GM5-4: Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders.

This means that students should find the ratio of the diameter of a circle to its perimeter (π) by measuring several circles and looking for the relationship.

They should understand that the formula for the circumference of a circle can be expressed in two ways:
C = 2πr (2 times pi times the radius), or
C = πD (pi times the diameter)

GM5-3: Deduce and use formulae to find the perimeters and areas of polygons and the volumes of prisms.

Students should create formulae for perimeters and areas of polygons by attending to features of those polygons. For perimeters they should recognise when side lengths are equal and use multiplicative strategies rather than additive ones. For example to calculate the perimeter of a parallelogram the student should double the length of two adjacent sides, for a regular pentagon they should multiply the length of one side by five.

GM5-2: Convert between metric units, using decimals.

This means that students will apply their knowledge of decimal place value to convert between units for the same attribute, for example between units for weight. They should know the meaning of prefixes used in the metric system that act as “scalars” on base units, for example “kilo” means one thousand, “centi” means one hundredth.

Students are able to convert between units for the same attribute (for example volume, mass) with more than 1 decimal place, for example 0.125 kg = 125g, or 17.5 cm = 0.175.

GM5-1: Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.

This means that when given a measuring task students will identify and use an appropriate metric unit. This involves the choice of an attribute (for example length, area, temperature) appropriate to the problem, the selection of an appropriate measurement tool, and the choice of unit adequate for the task, for example millimetres are needed to measure the length of solid material for construction.

GM4-4: Interpret and use scales, timetables, and charts.

This means students will be literate in getting required information from the following:

GM4-3: Use side or edge lengths to find 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:

area parallelogram.

GM4-2: 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, for example between units for weight. They should know the meaning of prefixes used in the metric system that act as “scalars” on base units, for example “kilo” means one thousand, “centi” means one hundredth. Conversions are restricted to convertinhg between whole number or decimal measures involving tenths, for example 0.6ha = 6000m² or 675mm = 67.5cm.