Mathematics / Year 5 / Measurement and Geometry / Shape

• TLF-IDM021072

This sequence of three lessons explores transformation and symmetry by engaging students in the design of friezes. Students are introduced to simple friezes, how reflections, rotations and translations are combined to create design elements, explore real frieze examples from furnishings in Parliament House and tyres, then ...

• TLF-IDM025312

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

• TLF-IDM020272

Listen as David McKinnon from UNSW describes some of the skills that are useful to have if you want to program robots. David explains an activity that exercises problem solving skills. Why don't you try doing it? Look at a map and find some towns that are close to yours. Use the scale on the map to work out the distances ...

• TLF-IDM021126

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

• TLF-IDM020974

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

• TLF-IDM016431

An interactive applet in which students classify triangles as isosceles, scalene and equilateral.

• TLF-IDL2006

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.

• TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

• TLF-IDM008995

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 ...

• TLF-IDM016649

This Bite is an introduction to the history, terminology, components and use of the Cartesian coordinate system. After completing the resource, students can proceed to six related Syllabus bites modules focusing on transformations on the Cartesian plane.

• TLF-IDA003525

Students transform and enlarge shapes using a grid.

• TLF-IDM016622

An interactive tutorial about types of solids and the components of simple solids.

• TLF-IDA003548

Students identify the components and properties of angles.

• TLF-IDM016224

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

• TLF-IDM016665

Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

• TLF-IDL1071

Position two simple shapes to form an overlap, then cut out that new shape. For example, lay a rectangle over a circle to make a semicircle. Make several shapes. Rotate the shapes and move them around to make pictures. Build a new picture or match an existing picture such as a fish or a truck.

• TLF-IDL350

Use grid references to find places on a map. Follow instructions to find four locations. As you go, look up the meaning of tricky words.

• TLF-IDM013998

This is a website providing four activities to develop students' familiarity with three-dimensional shapes, in particular prisms and pyramids. The resource focuses on assisting students to use geometrical language to describe prisms and pyramids, understand their properties and construct geometrical models. The activities ...

• TLF-IDA003148

This planning resource for Year 5 is for the topic of Position and location. Students use a grid coordinate system to locate and describe the position of objects, and use relevant positional and directional language to describe position and movement.

• TLF-IDL6261

Explore visual perspectives of solids such as cylinders, spheres, cones and cuboids. Match a 2D photo of a group of 3D objects taken from a different viewpoint. Identify the relative positions of the solids by comparing 2D outlines and colours. Rotate the scene until the view matches the original photo. The solids in the ...

• TLF-IDM016257

In this resource students measure objects of different length in centimetres and millimetres, order lengths from shortest to longest, convert between millimetres, centimetres, metres and kilometres.

• TLF-IDM016680

In this resource students find the relationship between, length, width (or breadth), height and volume of rectangular prisms, calculate the volume of rectangular prisms and investigate cubic metres

• TLF-IDM018754

What does a daredevil jumps rider need to know about geometry? Find out as we discover angles for take off and for landing. But before we do that sit down for some angles basics! A good place to start is angles of turn through a circle from a 1/4, 1/2, 3/4, all the way to one full turn. See how many each represents as an angle.

• TLF-IDM018741

Did you know that not all pyramids have a square base? Investigate the bases and faces of some pyramids. Travel around the world as we view some famous structures. First stop, we're in search of a building that is a rectangular prism. Find out which world famous building is a pentagonal prism. See what type of 3 dimensional ...

• TLF-IDA003567

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.

• TLF-IDM024988

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

• TLF-IDM025001

Want to know the trick to making a really big fort? Using cushions to build a fort, explore the concept of finding the largest area for a fixed perimeter. Surprisingly, there is no direct relationship between the perimeter of a rectangle and its area.

• TLF-IDM025009

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.

• TLF-IDM013355

This is a website designed for teachers and students in year 5, and addresses components of the length and area topic. It is particularly relevant for selecting appropriate metric units of measurement for length, perimeter and area, and calculation of the area of rectangles. There are pages for both teachers and students. ...

• TLF-IDM024948

This Stage 3 unit explores the idea of ‘adaptivity’ and identity across a number of KLAs. Students will answer the question ‘What is adaptivity?’ and will develop an understanding of how adaptivity serves inclusivity, especially in relation to adaptive sport. Students will explore the history and future of prosthetics. ...

• TLF-IDA002719

In this lesson, students are asked to present a poem as a visual illusion. They explore holograms and visual illusions, and then delve into the mechanics of poetry construction by exploring the poetry of Banjo Paterson. They write their own poem or recite a poem and create a hologram illusion of themselves reciting a poem. ...

• TLF-IDM008993

This teaching resource outlines an activity for students to explore the relationship between the area and perimeter of a shape, by using a series of cuts in a piece of paper to create a hole large enough to step through. The resource includes detailed instructions for creating the cuts in the paper, an explanation of how ...

• TLF-IDM021131

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?

• TLF-IDA003561

This guide supports teachers to develop students’ geometric understandings.

• TLF-IDA003563

The content of this book is organised into topics including understanding units, and direct measuring.

• TLF-IDM019343

This is a teacher resource containing a series of inquiry teaching sequences about life on farms in Australia. It contains material to assist the planning, implementing and assessing a study of five primary industry sectors involved in food and fibre production. The tasks in this resource are based around illustrated maps ...

• TLF-IDM013353

This is a website designed for teachers and students in year 5, and addresses components of the enlargement transformations topic in geometry. It is particularly relevant for the concept of enlarging two-dimensional shapes and also contains material on enlarging drawings using grid paper. There are pages for both teachers ...

• TLF-IDM008992

This teaching resource outlines an activity for students to draw an egg shape by hand, using a method that combines three ellipses. The resource outlines the materials required, provides instructions for drawing the curve, describes how the shape is composed of ellipses, and introduces some places where the egg shape is ...

• TLF-IDM016223

This resource is designed to support student learning in Stage 3 Mathematics. It provides an interactive introduction to the Cartesian plane, its components and the use of Cartesian coordinates.

• TLF-IDM016367

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

• TLF-IDM016169

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

• TLF-IDA003311

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.

• TLF-IDM013352

This is a website designed for teachers and students in year 5, and addresses the topic of angles. It contains material on the vocabulary used when dealing with angles, and introduces the measurement and construction of angles using a protractor. There are pages for both teachers and students. The student pages contain ...

• TLF-IDA003865

This sequence of five lessons teaches students about perimeter and area of shapes, as well as how to calculate them.