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

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

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.

Text

7Sp01A Three-dimensional objects - Ochre Education

This two lesson unit of work focuses on three-dimensional objects. Students identify and represent three-dimensional objects in two dimensions using nets, views and cross-sections of objects, and discuss the advantages and disadvantages of different representations. The unit includes a slide show for structuring presentation ...

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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.

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.

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Many heads are better than one: 9 colours activity - Calculate

This collaborative task challenges students to assemble 27 small cubes as one large 3 by 3 by 3 cube, with 9 different colours visible on each face. The task develops spatial awareness, particularly when the task is extended beyond creating a large cube.

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

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

Which has more volume?

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

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 ...

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

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 ...

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The Art of Angles | DET - Learning sequences

This learning sequence aims to develop student understanding of shapes and intersecting lines, including the properties of the angles and line segments. Students explore how to justify their reasoning in solving problems. Students have opportunities to use art as a medium to develop their understanding of using spatial ...

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Making triangles

In this lesson, students study the concept of triangle inequality, which determines if three positive numbers can serve as the side lengths of a triangle. Students experiment with various combinations of three natural numbers. They investigate whether these numbers can form a triangle and classify and construct the corresponding ...

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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 ...

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7M02A Angle relationships - Ochre Education

This seven lesson unit of work focuses on angle relationships. Students explore geometric notation and conventions, identify types of angles and use related angle facts to solve problems, identify interior and exterior corresponding and alternate angles formed when lines are crossed by a transversal, use these principles ...