Mathematics / Year 5 / Measurement and Geometry / Shape

Curriculum content descriptions

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)

Elaborations
  • identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
  • representing two-dimensional shapes such as photographs, sketches and images created by digital technologies
General capabilities
  • Numeracy Numeracy
ScOT terms

Solids (Geometry),  Translation (Geometry),  Nets (Geometry)

Video

ABC News: Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

Video

Mixed Up Maths, Ep 13: Shapes glorious shapes

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 ...

Video

Exploring mysterious shapes

Join QuanQuan and Jenny as they explore some weird and wonderful shapes! While watching this clip, think about the sides, edges, surfaces and volumes of the shapes that are demonstrated. How are these shapes different from regular 2D and 3D forms?

Video

MathXplosion, Ep 45: How to make an origami frog

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!

Text

Hologram poetry lesson

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. ...

Video

MathXplosion, Ep 42: Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

Video

What skills are important for programming robots?

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 ...

Video

What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

Video

Graphing

Graphs can be used to illustrate the relationship between two variables. Watch this fun animation from NASA to learn the basics of graphing.

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 ...

Video

What is a fractal?

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 ...

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.

Video

Mixed Up Maths, Ep 7: Daredevil geometry

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.

Video

The Milky Way

What do you know about the Milky Way? Did you know that there are hundreds of billions of stars in it? Before you embark on your stargazing expedition, watch this video to learn how you can use just your hands and a compass to locate stars in the sky! What is the unit of measurement used when you're measuring distances ...

Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

Video

MathXplosion, Ep 39: Area vs perimeter

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.

Video

Fun with fractals

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?

Interactive

Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.

Video

Stateline: Orienteering: using a map and compass

Orienteering requires knowledge of directions, an ability to read a map and the use of a magnetic compass. Find out about the basics of orienteering.

Video

Axial Symmetry

An interactive applet in which students explore the effect of reflection in a variety of axes.