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

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 ...

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 ...

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 ...

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 ...

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7M04A Volume - Ochre Education

This four lesson unit of work focuses on volume. Students define and determine the volume of structures formed using unit cubes, giving answers with the appropriate units; establish and use the formulas for the volume of rectangular and triangular prisms, and cubes using the area of the unchanging parallel cross-sections ...

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.

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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.

Downloadable

Unit cubes and volume

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

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.

Downloadable

Which has more volume?

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

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 geometer's warehouse

This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

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7M01A Length - Ochre Education

This six lesson unit of work focuses on length and the perimeter of shapes, including circles. Students calculate the lengths of paths and the perimeter of polygons, identify the radius and diameter of circles and determine their lengths, define pi and use it to calculate the circumference of a circle, explore different ...

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7M03A Area - Ochre Education

This five lesson unit of work focuses on the area of shapes. Students establish and use the formulas for the area of rectangles, parallelograms, and triangles, including applications to find areas of L-shapes and other compound shapes and surface areas of rectangular and triangular prisms and cubes. The unit includes a ...

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. ...

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Using algebra tiles to solve equations

In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.

Downloadable

Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

Online

Area and perimeter: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.

Interactive

Squirt: three containers

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

Video

MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.