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Mathematics / Year 9 / Measurement and Geometry / Using units of measurement

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Solve problems involving the surface area and volume of right prisms (ACMMG218)

Elaborations
  • solving practical problems involving surface area and volume of right prisms
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Volume (Dimensions),  Surface area,  Right prisms

Text

Volume of a Pyramid and a Cone

This resource is a web page containing an investigative task to explore volume. Derive the formulae for the volumes of a square-based pyramid and a cone, using mathematical concepts. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

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In a spin

This resource is a web page containing a short task to explore volume of a solid shape. The task involves calculating the volume of the solid formed by rotating a right angled triangle about its hypotenuse A printable resource and solution is also available to support the task. This resource is an activity from the NRICH ...

Interactive

Surface area of prisms

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

Video

Exploring mysterious shapes

Join QuanQuan and Jenny as they explore some weird and wonderful shapes! While watching this clip, think about the sides, edges, surfaces and volumes of the shapes that are demonstrated. How are these shapes different from regular 2D and 3D forms?

Video

Make a cake: measure ingredients

Sarah is following a recipe. There are some different units of measure used in the recipe. Watch the video to see what these measurement words are. How much of each ingredient is needed? How are the ingredients combined to make the cake?

Online

Measuring familiar things

Explore the attributes of familiar items. Make direct comparisons of these items based on length, mass (heaviness) or capacity (volume, or how much something holds). Use appropriate everyday language to describe the comparisons made. Use uniform informal units to measure items. Tell the time to the hour and half-hour using ...

Online

reSolve: Authentic Problems: Bottle Flipping

This sequence of four lessons explores fractions and statistical reasoning through conducting a series of fair tests to answer the question 'What fraction of a bottle needs to be filled with water to be the best for bottle flipping?'. The lessons focus on building understanding of fractions and collecting, organising and ...

Image

Diphtheria ward of the Melbourne Hospital, Christmas 1900

This is a black-and-white photograph taken in the grounds of the Melbourne Hospital on Christmas Day, 1900. It shows children from the hospital's diphtheria ward seated in a large wicker pushcart. Two nurses, one of whom holds an infant, stand behind the children. On the right of the photograph is a doctor. The photograph ...

Image

Schoolboy being vaccinated against diphtheria in Brisbane, 1940

This 1940 black-and-white photograph shows a young boy, not entirely at ease, being vaccinated against diphtheria at East Brisbane State School by the City Medical Officer of Health, Dr R Weaver. A woman dressed in white stands behind the boy and steadies his outstretched left arm for the injection. Medical implements and ...

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

reSolve: Quarter Cartons

This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities ...

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Panning for gold on the Mulgrave River, c1888

This is a black-and-white photograph showing five miners prospecting for alluvial gold on the banks of the Mulgrave River in Queensland. Two of the men hold shovels and stand by a sluice, two others pan for gold and the fifth rests on a wooden wheelbarrow. Several other mining implements are in evidence - a pan, pick, shovel ...

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'The new rush', 1865

This is a coloured print, measuring 19.4 cm x 25.2 cm, by the famous colonial artist Samuel Thomas Gill (1818-80), published in 'The Australian Sketchbook' in 1865. It shows a gold rush scene, probably in Victoria, with a stream of prospectors travelling along a dirt road. Several are walking beside their horses and heavily ...

Video

What holds the most?

Flynn and Dodly are going on a camping adventure. Watch how they measure the capacity of different containers. Which container will hold the most? 'Dodly the Adventurer' needs a container to put all his precious rocks in. Can you find a container big enough?

Online

reSolve: Measurement - Parcel in the Post

This lesson challenges students to find the most cost-efficient way to package a variety of items to send in the post. Students are provided with a matrix of parcel postage charges and a variety of different possible parcels. They categorise the parcels, measure their dimensions and weights and then calculate the postage ...

Online

reSolve: Tree Biomass

In this sequence of two lessons, students investigate how many trees would be required to supply paper for their school for a year. Students use similar triangles, Pythagoras' Theorem and algebra to design and construct a Biltmore stick, used to measure the diameter and height of a tree. They measure trees, calculate their ...