Mathematics / Year 4 / Space

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Curriculum content descriptions

recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate (AC9M4SP03)

Elaborations
  • identifying rotational symmetry of shapes by tracing around various shapes and objects to create an image, and using the image to test and record which different rotations result in the same image
  • using dynamic geometric software to manipulate shapes and create symmetrical patterns; for example, creating tessellation patterns that are symmetrical
  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and Islamic artwork to investigate and discuss line and rotational symmetry
  • exploring the natural environment on Country/Place to investigate and discuss patterns and symmetry of shapes and objects such as in flowers, plants and landscapes
General capabilities
  • Numeracy Numeracy
ScOT terms

Shapes (Geometry),  Line symmetry,  Patterns,  Rotational symmetry

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6 direct matches to AC9M4SP03 | 14 other related resources
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Online

reSolve: Authentic Problems: Expanded Square

  • TLF-IDM024876

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

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Video

MathXplosion, Ep 42: Maths in nature

  • TLF-IDM024998

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).

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Text

Making maths: Indian window screen

  • TLF-IDM013656

This resource is a web page containing an activity about constructing symmetrical decorative patterns. The resource provides initial step-by-step instructions for using standard grid paper to recreate an intricate pattern found in a traditional Indian window screen. This resource is one of a series of activities from the ...

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Text

Making maths: Rangoli designs

  • TLF-IDM013657

This resource is a web page containing an activity about symmetrical patterns that are used to decorate traditional Indian clothing and architecture. The patterns contain line and/or rotational symmetry. Students can examine the patterns and identify the type of symmetry present in each one. This resource is one of a series ...

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Downloadable

Line of symmetry

  • TLF-IDA003555

Students identify and draw the lines of symmetry by folding 2D shapes.

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Online

Transformation: Symmetry: Year 4 – planning tool

  • TLF-IDA003191

This planning resource for Year 4 is for the topic of Transformation: Symmetry. Students investigate reflection symmetry and develop their understanding of how the line of symmetry defines the two aspects of a ‘mirror’ image of the figure into two congruent halves. They explore rotational symmetry using familiar 2D shapes, ...

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Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

  • TLF-IDM018749

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.

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Video

For the Juniors: Measure ingredients to make a cake

  • TLF-IDM015697

Sarah is following a recipe. There are some different units of measure used in the recipe. Watch the video to see what these measurement words are. How much of each ingredient is needed? How are the ingredients combined to make the cake?

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Video

MathXplosion, Ep 6: Zero the hero

  • TLF-IDM024939

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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Video

Odd and even numbers

  • TLF-IDM021401

Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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Video

Exploring mysterious shapes

  • TLF-IDM021134

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?

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Video

Fun with fractals

  • 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?

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Interactive

Rotations of two-dimensional objects

  • TLF-IDM012162

This is a four-page HTML resource about solving problems concerning quarter turns of two-dimensional objects. It contains four questions, one of which is interactive, and one video. The resource discusses and explains quarter turns to reinforce students' understanding.

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Interactive

Finding the area of compound shapes

  • TLF-IDL383

Find the area of compound shapes based on rectangles on a grid. Explore how the formula works for finding a rectangle's area. First, estimate the area of a compound shape based on rectangles on a grid. Second, work out the correct formula for finding area by placing rows and columns of squares inside two rectangles. Then, ...

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Interactive

Rainforest: make a walking track

  • TLF-IDL352

Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.

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Video

For the Juniors: Drawing a floor plan

  • TLF-IDM015824

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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Video

MathXplosion, Ep 33: On the grid

  • 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.

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Video

Mixed Up Maths, Ep 7: Daredevil geometry

  • 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.

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Video

Right angle or acute angle?

  • TLF-IDM020110

What's the difference between a right angle and an acute angle? Find out!

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Video

Mixed Up Maths, Ep 13: Shapes glorious shapes

  • 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 ...

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