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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8 direct matches to AC9M4SP03 | 12 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: 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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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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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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Downloadable

Line of symmetry

  • TLF-IDA003555

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

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Text

Transformations Year 3 & 4 - Calculate

  • TLF-IDA004343

This lesson helps students explore different shape transformations and describe symmetry in objects and images.

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Text

Symmetry Year 4 - Calculate

  • TLF-IDA004315

This activity is about symmetry and transformations. The aim is for students not simply find solutions but to think about a way to record their discoveries in a systematic way. How can students share their thinking and compare their answers to someone else?

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Video

What is a fractal?

  • 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 ...

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Video

Graphing

  • TLF-IDM019735

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

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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

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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Interactive

Area explorer

  • TLF-IDM012001

This is an interactive resource about calculating the area of a shape presented on a grid. Students are presented with a random figure and are required to calculate its area, in square units. Immediate feedback is provided and the student can make repeated attempts if a question is not answered correctly. The additional ...

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Online

Programming projects

  • TLF-IDM021734

This is a unit for Year 4 from the Scope and sequence resources from the DT Hub. The topic of programming is organised into four key elements. Use this flow of activities to plan and assess students against the relevant achievement standards. Students develop an understanding of computer programming as a series of instructions.

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Text

Sizing Them Up

  • TLF-IDM020722

This resource is a web page containing a short task to explore area of irregular shapes by informal means. Arrange irregular shapes in size order smallest to largest. This resource is an activity from the NRICH website.

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Interactive

Shape overlays: picture studio

  • 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.

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Interactive

Rainforest: use a grid map

  • 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.

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Interactive

Rainforest: use compass points

  • TLF-IDL351

Use compass points and a scale to find places on a map. Understand abbreviations such as N, W, SW and E. Follow instructions to find four locations. As you go, look up the meaning of tricky words.

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Online

reSolve: Algebra: Triangle Inequality

  • TLF-IDM021835

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

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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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