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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.

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

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. ...

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.

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.

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.

Online

TIMES Module 13: Measurement and Geometry: construction - teacher guide

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

Text

Transformations of the plane

This is a website designed for both teachers and students that introduces some transformations of the plane using coordinates in the Cartesian plane. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are discussed. Coordinates are used to describe these transformations. ...

Online

The laws of arithmetic and their use in algebra

This is a website designed for both teachers and students that refers to algebraic notation, the laws of arithmetic and the use of these laws in algebra from the Australian Curriculum for year 7 students. It contains material on algebraic notation, the commutative and associative laws, the use of brackets and the orders ...

Interactive

Area of a parallelogram

This is a Geogebra activity used to teach the area of a parallelogram. Suitable for use with an interactive whiteboard (IWB).

Text

BBC Bitesize: area and perimeter - revision

These illustrated information sheets revise ideas about perimeter and area of plane shapes including triangles, rectangles, parallelograms, trapeziums and some compound shapes. Examples with answers are included and students have access to test questions to assess their learning. This resource is one of a series of online ...

Interactive

Numeracy wrap: It's what's inside that counts

interactive activities that guide students to explore the interior and exterior angle sums of polygons.

Text

Tessellating tiles

In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

Interactive

Syllabus bites – flipping and sliding

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

Interactive

Syllabus bites – mixing it up

The fifth in a series of Syllabus bites related to transformations on the Cartesian plane. This bite covers combinations (composition) of transformations.

Interactive

Examples of Pythagoras' Theorem Part 2

An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.