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

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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

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Year level 7-8
Resource type
Learning area Mathematics
Interactive resource

Cubirocks are measured!

Help three cuboid characters to estimate the volume of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: small, medium-sized or large. Use a measuring cube to help estimate the volume of different 'cubirocks' made up of cubes. Complete a data table. Volumes range ...

Interactive resource

Cubirocks galore!

Help two cuboid characters to estimate the volume of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: medium-sized or large. Use a measuring cube to help estimate the volume of different 'cubirocks' made up of cubes. Complete a data table. Volumes range from 1 unit ...

Interactive resource

Cubirocks go!

Help three cuboid characters estimate and compare the volumes of cube-shaped rocks made by a special volcano in 'Cubiland'. Each character uses a different measuring unit: small, medium-sized or large. Notice that if 8 medium cubes and 27 small cubes fill a large cube that this ratio can be applied to all 'cubirocks'. Use ...

Interactive resource

Inside a cubic metre

Watch a demonstration of the size of a cubic metre (100cm x 100cm x 100cm). See how small a cubic centimetre looks when compared with a cubic metre. Work through a series of questions about the length, width and height of a cubic metre. Work out area of layers within a cubic metre. Use multiples of 100 to calculate volume. ...

Interactive Resource

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 ...

Interactive Resource

Volumes of prisms

This is a four-page HTML resource about solving problems concerning volumes of prisms. It contains one video and four questions, two of of which are interactive. The resource discusses and explains solving problems concerning volumes of prisms to reinforce students' understanding.

Interactive resource

EagleCat: scale it

Explore changes in area when a shape is acted on by a scale factor. Examine changes in volume when an object is acted on by a scale factor. Analyse the changes using whole numbers.

Text

BBC Bitesize: volume - revision

This is a set of information sheets on measurement ideas associated with volumes of rectangular prisms and cylinders. Practice and test questions with answers are provided. This resource is one of a series of online resources from the BBC's Bitesize collection.

Interactive resource

What's in a cube: level 1

Watch a demonstration of the size of a cubic metre (100cm x 100cm x 100cm). See how small a cubic centimetre looks when compared with a cubic metre. Estimate the volume of cuboid objects such as a filing cabinet, a DVD player, and icebox. Rotate a 3D grid to help you work out dimensions in centimetres. Estimate the relative ...

Interactive resource

How big is a cubic metre?

Explore just how big a cubic metre really is. See how small a cubic centimetre looks when compared with a cubic metre . Work through a series of questions about the length, width and height of a cubic metre. Work out areas of layers within a cubic metre. Use the areas of these layers to work out the total number of cubic ...

Interactive resource

What's in a cube: level 2

Watch a demonstration of the size of a cubic metre (100cm x 100cm x 100cm). See how small a cubic centimetre looks when compared with a cubic metre. Estimate the volume of irregular cuboid objects such as a small kennel, toy train, and backpack. Rotate a 3D grid to help you work out dimensions in centimetres. Estimate the ...

Interactive resource

Squirt: three containers: level 1

Examine the relationships between capacities of containers of the same shape, but different size. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. ...

Interactive resource

Filling glasses: find the right glass

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose the glass shape that matches a line graph representing its filling rate. This learning object is ...

Interactive resource

Filling glasses: create the right graph

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both sections of a line graph representing the filling rate for a composite-shaped glass. This learning ...

Interactive resource

Filling glasses: create the right glass

Look closely at some line graphs. Examine the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Choose both parts of the composite-shaped glass to match a line graph representing its filling rate. This ...

Interactive resource

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. ...

Interactive resource

Squirt: three containers: level 2

Examine the relationships between capacities of containers of different shapes and sizes. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. This learning ...

Text

Imperial pie

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

Teacher resource

Starting Smart: how can I use measurement relationships to solve problems? - years 7-9

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' knowledge and skills in the measurement of area and volume and to develop their ability to solve practical measurement problems. Students use counting methods and develop formulas to calculate areas ...