Mathematics / Year 7 / Measurement and Geometry / Shape

Curriculum content descriptions

Draw different views of prisms and solids formed from combinations of prisms (ACMMG161)

Elaborations
  • using aerial views of buildings and other 3-D structures to visualise the structure of the building or prism
General capabilities
  • Numeracy Numeracy
ScOT terms

Transformation (Geometry),  Prisms

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.

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. ...

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

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.

Online

Position and location: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Position and location. Students demonstrate understanding of objects in two dimensions (2D). Students can draw various shapes in different ways, such as drawing informally on blank paper, on grid paper, or in an isometric representation; discuss the reasons behind the ...

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.

Online

Patterns, rules and graphs

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

Downloadable

Which has more volume?

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

Downloadable

Geometry: Foundation to Year 9

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

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.

Video

MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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 ...

Video

Working out the areas

Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

Video

MathXplosion, Ep 34: Kite symmetry

Unfurl the secret of symmetry used in kites to make them fly! A kite in geometry looks a lot like a kite in the sky. We see that a kite is a special quadrilateral in which one of its two diagonals (long and short) is also its axis of symmetry, and if you fold the kite along that diagonal, the two halves will match up exactly ...

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 ...

Video

Comparing fuel consumption

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...

Video

Types of triangles

What is the difference between equilateral, isosceles and scalene triangles? See if you can find and classify triangles based on the definitions given in this maths video.

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.

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

Area of a square and a triangle

Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.