GM4-3: Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
Elaboration on this Achievement Objective
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:
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Rectangle: Area = base x height | Parallelogram: Area = base x height | Triangle: Area = 1/2 (base x height) |
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Cuboid: Volume = base x height x depth |
Students should express the areas and volumes using symbols, for example 48cm3 (48 cubic centimetres).
Teaching resources for this Achievement Objective
Level Four
Geometry and Measurement
Units of Work
This unit is about finding the areas of triangles, and parallelograms, using what students already know about the areas of rectangle. Students will apply multiplication and division strategies as they calculate areas. The ideas are extended to finding the volumes of cuboids (rectangular prisms).
Level Four
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in finding a pattern from multiplying dimensions and to generalise this pattern with a rule.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Integrated
Figure It Out activities
This is a level 4 measurement and number activity from the Figure It Out theme series. A PDF of the student activity is available.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.
Level Four
Integrated
Units of Work
This unit provides a set of learning tasks that integrate across the strands of the Mathematics and Statistics learning area of the New Zealand Curriculum and provide opportunities for assessment of student achievement across those strands. Each session may involve more than one lesson, especially...
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Integrated
Units of Work
This unit looks at Fibonacci numbers and how they occur in nature. Fibonacci numbers provide a rich context in which to apply algebra at Level 4. It is recommended that students already have some experience with Level 4 algebra, prior to the introduction of this unit.
Level Four
Geometry and Measurement
Problem solving activities
This problem solving activity has a measurement focus.
Level Four
Geometry and Measurement
The purpose of this activity is to support students in measuring the areas and perimeters of a rectangle when the side lengths are given in decimal measurements.
Level Four
Geometry and Measurement
The purpose of this activity is to support students in calculating the surface areas of cuboids in an efficient manner, using multiplication and addition.
Level Four
Geometry and Measurement
The purpose of this activity is to support students in measuring the volumes and surface areas of cuboids when the side lengths are given in decimal measurements.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Units of Work
In this unit students take part in a variety of measurement tasks including measuring the length of a slinky, working out how many slices of tomato will fit around the edge of a pizza and accurately drawing the label from a can.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 activity from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Units of Work
In this unit students complete a number of practical measuring investigations, with an emphasis on accuracy of measuring and communication of their findings.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement activity from the Figure It Out theme series. A PDF of the student activity is available.
Level Four
Integrated
Rich learning activities
The purpose of this activity is to engage students in finding the perimeter and area of rectangles. They engage in trying to find rectangles where the number measure of the perimeter equals the number measure of the area.
Level Four
Geometry and Measurement
Problem solving activities
This problem solving activity has a measurement focus.
Level Four
Integrated
Figure It Out activities
These are level 4 measurement, number and algebra problems from the Figure It Out series. A PDF of the student activity is included.
Level Four
Integrated
Figure It Out activities
These are level 4 number and measurement problems from the Figure It Out series. A PDF of the student activity is included.
Level Four
Integrated
Figure It Out activities
These are level 4 measurement and algebra problems from the Figure It Out series. A PDF of the student activity is included.
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 4 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.