GM3-2: Find areas of rectangles and volumes of cuboids by applying multiplication.
Elaboration on this Achievement Objective
This means students will begin by measuring the areas of rectangles and other shapes using square units. This is because square units of the same size tessellate, that is join together with no laps or overlaps. That means that the measurement is consistent whereas the use of a non-tessellating unit would give variable results due to gaps and overlaps. Similarly, volume is measured in cubes of the same size. At Level Three students should apply whole number multiplication to make the process of counting squares or cubes more efficient.
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4 x 6 = 24 square units | 3 x 4 x 6 = 72 cubic units |
Teaching resources for this Achievement Objective
Level Three
Integrated
Figure It Out activities
These are level 3 x problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Units of Work
In this unit students learn to use the multiplication formula to find the area of a rectangle. Using proportional reasoning students explore what happens to the area when the length and/or height of a rectangle is doubled.
Level Three
Geometry and Measurement
The purpose of this activity is to engage students in solving a problem involving volumes of cuboids.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure it Out series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 measurement, algebra, and number problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Units of Work
This integrated unit combines measurement of area with multiplication, and algebraic thinking.
Level Three
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in using non-standard units to solve a problem involving area.
Level Three
Integrated
Figure It Out activities
This is a level 3 number and measurement activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Level Four
Geometry and Measurement
Figure It Out activities
This is a level 3 and 4 measurement activity from the Figure it Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure It Out theme series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in solving a measurement problem involving volume and weight.
Level Three
Integrated
Figure It Out activities
These are level 3 number, measurement, and statistics problems from the Figure It Out series.A PDF of the student activity is included.
Level Three
Level Five
Integrated
Figure It Out activities
This is a level 3 measurement and level 4 number activity from the Figure It Out theme series.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure it Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Units of Work
In this unit students learn to find areas of rectangles, to recognise and describe rotation and reflection in conventional designs, and to apply precise measurement skills and enlargement techniques to create a functional geometric design for a quilt.
Level Three
Integrated
Figure It Out activities
This is a level 3 number and measurement activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
These are level 3 number, algebra, measurement problems from the Figure It Out series.
Level Three
Integrated
Figure It Out activities
This is a level 3 number and measurement activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Integrated
Units of Work
This unit brings together ideas from several strands of the mathematics curriculum, within the context of preparing for a school fair.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement strand activity from the Figure It Out series.A PDF of the student activity is included.
Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement activity from the Figure It Out theme series. A PDF of the student activity is available.