# 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

These are level 3 x problems from the Figure It Out series. A PDF of the student activity is included.

find the area of a rectangle (Problem 1) solve puzzles involving 3 dimensional drawings (Problem 2) use addition to solve puzzles (Problem 3) find outcomes using a diagram (Problem 4)

Figure It Out activities

Geometry and Measurement

Level Three

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.

Students will: make a scale drawing of an eco-kennel to suit a given volume scale up the drawing by specifi ed percentages. Students should discover that: volume is length by width by height increasing dimensions by 50% or less can double the volume of a cuboid.

Figure It Out activities

Number and Algebra

Level Three

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.

use multiplication to calculate the area of a rectangle measure the length of a side using a ruler use proportional reasoning to find the area of a rectangle

Units of Work

Geometry and Measurement

Level Three

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

Geometry and Measurement

Level Three

This is a level 3 measurement activity from the Figure it Out series. A PDF of the student activity is included.

measure volume of a cuboid

Figure It Out activities

Geometry and Measurement

Level Three

These are level 3 measurement, algebra, and number problems from the Figure It Out series. A PDF of the student activity is included.

find volume of a cuboid (Problem 1) continue a sequential pattern (Problem 2) solve division problems (Problem 3) use algebraic thinking to solve problems (Problem 4)

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

find the volume of rectangular prisms

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

find the volume of rectangular prisms

Figure It Out activities

Geometry and Measurement

Level Three

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

Units of Work

Number and Algebra

Level Three

The purpose of this activity is to engage students in using non-standard units to solve a problem involving area.

Rich learning activities

Geometry and Measurement

Level Three

This is a level 3 number and measurement activity from the Figure It Out series. A PDF of the student activity is included.

use multiplication to solve perimeter and area problems.

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 and 4 measurement activity from the Figure it Out series. A PDF of the student activity is included.

find volumes of cuboids interpret charts solve problems involving time and distances

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 measurement activity from the Figure It Out theme series. A PDF of the student activity is included.

use multiplication to find areas of rectangles

Figure It Out activities

Geometry and Measurement

Level Three

The purpose of this activity is to engage students in solving a measurement problem involving volume and weight.

Rich learning activities

Geometry and Measurement

Level Three

These are level 3 number, measurement, and statistics problems from the Figure It Out series. A PDF of the student activity is included.

find outcomes using diagrams (Problem 1) find areas of rectangles (Problem 2) solve multiplication and division facts (Problem 4)

Figure It Out activities

Statistics

Level Three

This is a level 3 measurement and level 4 number activity from the Figure It Out theme series.

find areas by counting or using multiplication convert a fraction to a percetage

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 measurement activity from the Figure it Out series. A PDF of the student activity is included.

find volume of cuboids measure mass

Figure It Out activities

Geometry and Measurement

Level Three

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.

Recognise that patchwork is a functional and creative art form.. Identify and describe rotation and reflection within simple designs. Calculate areas of rectangles. Accurately measure to create a pattern template, and cut pieces. Calculate the amount of required materials. Identify key stages in a...

Units of Work

Geometry and Measurement

Level Three

This is a level 3 number and measurement activity from the Figure It Out series. A PDF of the student activity is included.

use multiplication to solve perimeter and area problems.

Figure It Out activities

Geometry and Measurement

Level Three

These are level 3 number, algebra, measurement problems from the Figure It Out series.

predict a further member in a sequential pattern (Problem 2) use multiplication facts to solve problems (Problem 3) use multiplication to find the number of cubes in a cuboid (Problem 4)

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number and measurement activity from the Figure It Out series. A PDF of the student activity is included.

use multiplication to solve perimeter and area problems.

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Number and Algebra

Level Three

This unit is designed to provide students with a context in which to use number operations, as well as other strands of the mathematics curriculum. The context of a school fair could either be a hypothetical context, or could be linked to an actual school fair, with students helping to plan and run...

draw conclusions from data collected in survey use addition and multiplication strategies to make estimates and solve problems make scale drawings design a net use linear scales to measure lengths calculate volumes of cuboids

Units of Work

Number and Algebra

Level Three

This is a level 3 measurement strand activity from the Figure It Out series. A PDF of the student activity is included.

explore units of area

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 measurement activity from the Figure It Out theme series.

count squares and use multiplication to calculate area of rectangles and triangles

Figure It Out activities

Geometry and Measurement

Level Three