GM3-2: Find areas of rectangles and volumes of cuboids by applying multiplication.

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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.


4 x 6 = 24 square units	3 x 4 x 6 = 72 cubic units

Teaching resources for this Achievement Objective

All Sorts

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.

An Eco-kennel

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.

Areas of Rectangles

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.

Cheese blocks

Level Three

Geometry and Measurement

Rich learning activities

The purpose of this activity is to engage students in solving a problem involving volumes of cuboids.

Cold Comfort

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.

Colourful Calculations

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.

Cuboid Construction

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.

Cut it Out

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.

Fill it up - flat space

Level Three

Integrated

Units of Work

This integrated unit combines measurement of area with multiplication, and algebraic thinking.

Finding perimeters

Level Three

Geometry and Measurement

The purpose of this activity is to support students in distinguishing between the area and perimeter of rectangles, and in measuring the attributes in whole numbers of units, cm and cm 2.

Finding the areas of rectangles using side lengths

Level Three

Geometry and Measurement

The purpose of this activity is to support students in finding the areas of rectangles by measuring and multiplying side lengths.

Finding the volumes of cuboids by measuring edge lengths

Level Three

Geometry and Measurement

The purpose of this activity is to support students in finding the volumes of cuboids by measuring the edges in centimetres, or by interpreting diagrams in which the dimensions are given in whole numbers of centimetres. Students also use cubic centimetres (cm 3) to represent volume.

Finding volumes of cuboids (whole number edge lengths)

Level Three

Geometry and Measurement

The purpose of this activity is to support students in finding the volumes of cuboids, that have dimensions given in whole number, using multiplication.

Folding Boxes

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.

Fred's Rent-a-Fence

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.

Gigantic Jumbo

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.

Is there Room?

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.

Noah’s Mystery Parcel

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.

Numbers in Disarray

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.

Offside!

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.

Popcorn Peril

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.

Quilts

Level Three

Geometry and Measurement

Units of Work

In this unit students learn to estimate and measure the area of rectangles, recognise and describe transformations in geometric designs, and apply precise measurement skills and enlargement techniques to create a functional geometric design for a quilt.