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

Text

Work sample Year 7 Mathematics: Geometric reasoning

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Downloadable

AERO Ochre Maths Year 6 Unit 3 - Missing angles and lengths

This sequence of five lessons focuses on teaching students to find the missing angles and lengths of various different shapes.

Downloadable

How many in the queue?

Students use visualising and movement activities to develop an understanding of the relationship between variables.

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

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

Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement 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 ...

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

Area and perimeter: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.

Online

Shapes and objects: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...

Online

Angles and parallel lines: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Angles and parallel lines. Students identify corresponding, alternate and co-interior angles on parallel lines crossed by a transversal (a line that intersects two or more parallel lines).

Online

Algorithms: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Algorithms. Students are introduced to the use of algorithms for sorting and classifying. They can use flow charts to do this. Algorithmic thinking is a design process and flow charts are used to show a sequence of steps and/or instructions and require decision making ...

Online

Transformation: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Transformation. Students describe translations, reflections and rotations and identify line (mirror) and rotational symmetries. They will extend their understanding of transformations through exploring transformations on the Cartesian plane.

Online

Circles and cylinders: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Circles and cylinders. Students are introduced to the radius, diameter and circumference of a circle. They understand the relationships between these measures and can use relevant formulae to solve problems.

Online

Graphs: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

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 ...

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.

Interactive

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. ...

Video

Algebraic equations: video and teaching guide

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...