Mathematics / Year 7 / Measurement and Geometry / Using units of measurement

Curriculum content descriptions

Calculate volumes of rectangular prisms (ACMMG160)

Elaborations
  • investigating volumes of cubes and rectangular prisms and establishing and using the formula V = l × b × h
  • understanding and using cubic units when interpreting and finding volumes of cubes and rectangular prisms
General capabilities
  • Numeracy Numeracy
ScOT terms

Volume (Dimensions),  Cuboids

Interactive

Surface area and volume

This is an interactive resource about investigating the surface areas and volumes of rectangular and triangular prisms. The resource can be used in one of two modes. In the Explore mode, the student can vary the height, width and depth of the prism, and the surface area and volume are calculated automatically. In the Compute ...

Online

Making a large wicking bed

Wicking beds are a fantastic invention, allowing crops to be watered more efficiently. Making a large wicking bed does involve a few steps and some preparation, however the benefits of this extra effort are water conservation, improved plant growth and better crops. The design of the wicking bed also provides opportunities ...

Downloadable

Unit cubes and volume

This lesson uses unit cubes and hollow objects to demonstrate the concept of volume and the units used.

Video

Volume and mathematical modelling video

Use this video as a springboard to explore volume of composite shapes, adjusting numbers to make calculations friendlier and draw on reasoning and mathematical modelling.

Downloadable

Which has more volume?

Use this diagnostic task to assess what students know about volume and units to measure and compare volumes.

Text

The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

Interactive

Numeracy wrap: Calculating volume

In this resource students find the relationship between, length, width (or breadth), height and volume of rectangular prisms, calculate the volume of rectangular prisms and investigate cubic metres

Video

Maths inside bees and beehives

Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

Video

Modelling climate changes

There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...

Downloadable

Diagnostic task: Volume of prisms

Use these diagnostic tasks, Volume of prisms (1) and Volume of prisms (2), to assess a student’s understanding of working out the volume of rectangular prisms and a formula for volume.

Online

Volume and surface area: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Volume and surface area. Students become familiar with the concepts of volume and surface area. They understand that volume is the amount of space occupied by a three-dimensional (3D) object and is measured in cubic units.

Interactive

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

Online

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

Online

TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

Interactive

Area of a parallelogram

This is a Geogebra activity used to teach the area of a parallelogram. Suitable for use with an interactive whiteboard (IWB).

Interactive

Examples of Pythagoras' Theorem Part 2

An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

Interactive

The Mathematical Toolkit

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

Video

Using Pythagoras' Theorem (Simulation)

An interactive simulation in which students use Pythagoras' theorem can be used to find distances.

Interactive

Area of a triangle

This is a Geogebra activity used to teach the area of a triangle. Suitable for use with an interactive whiteboard (IWB).

Online

Geometric drawing including representation of simple solids

This is a website designed for both teachers and students that refers to the drawing of solids from the Australian Curriculum for year 7 students. It contains material on cross-sections of prisms and includes information regarding views, elevations and isometric drawings. There are pages for both teachers and students. ...