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## 2013 MTANT Bringing Geometry Alive!

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**2013 MTANTBringing Geometry Alive!**MTANT 2013 • Engage, explore and extend mathematics using the Australian Curriculum content and the four proficiencies • Gabrielle (Gay) West gabrielle.west@nt.gov.au p 08 8944 9246 Bringing Maths Alive! – 10 March**The Australian Curriculum: Mathematics**MTANT 2013 • The strands, sub-strands, content descriptions and elaborations describe ‘what’ is to be taught • The four proficiencies describe ‘how’ it should be taught Achievement Standards describe and the work samples show the core skills and understandings Bringing Maths Alive! – 10 March (see Australian Curriculum folder)**Geometry**MTANT 2013**Let’s fly with 2D Shapes**MTANT 2013 Bringing Maths Alive! – Geometry 10 March**Folding Shapes**• A4 coloured paper can be folded to make many 2 D shapes with no measuring or cutting • Follow the diagrams • See if you can make the shapes • Try these folds with A3 and A5 paper and all the A series paper [Note A series paper was invented in 1922 in Germany.]**Can you name this shape?**• What can you tell me about this special 2D shape (quadrilateral)? • Turn it around and look at the sides and angles . . . • What about lines of symmetry? • Tell me about the diagonals. Do they intersect? Do they bisect? Describe this. • Will it tessellate? • What shapes can you make with 1, 2, 3, or more of these kites? • What are the functions of this shape, in real life?**Angles wheels**Let’s estimate, deduce and check angle size Straws can be used to measure angles MTANT 2013 Bringing Maths Alive! – Geometry 10 March**Angles**Hunting for shapes using a circle and elastic Proving, visualising and ‘seeing’ the angle properties of a circle Angle estimation and bearings Angles 0–360 0 MTANT 2013 Bringing Maths Alive! – Geometry 10 March**Can you name this shape?**• What can you tell me about this shape? • Turn it around. Look at the sides and angles . . . • What about lines of symmetry? • Will it tessellate? • What shapes can you make with 1, 2, 3, or more of these shapes? • Compare it to the kite – how are they the same, how are they different? • Where do you see this shape in the environment?**What is special about this shape?**• What can you tell me about this shape? • Look at the sides and angles . . . • What about lines of symmetry? • Will it tessellate? • Why is it called regular? • What shapes can you make with 1, 2, 3, or more of these shapes? • Where do you see this regular shape?**The 4 Proficiencies: Make the shapes, describe, compare,**categorise and justify Fluency: Name this shape? How many sides? How many angles? Problem Solving: Make, manipulate, fold, photograph, draw, label, investigate to be able to describe and explain. Reasoning: Compare 2 shapes: How are they the same? How are they different? Group these shapes into 2 or 3 categories and justify why? Understanding: Tell me everything you can about this shape . Describe all the features of a square. MTANT 2013 Bringing Maths Alive! – Geometry 10 March**What do you see?**• What can you tell me about this special triangle? • Look at the sides and angles . . . • What about lines of symmetry? • Fold it in half and investigate the new shape. • Will it tessellate? • What shapes can you make with 1, 2, 3, or more of these shapes? • Compare this triangle to the previous triangle. How are they the same? How are they different?**This is a very common shape.**• What can you tell me about this shape? • Look at the sides and angles . . . • Why is it a regular shape? • What about lines of symmetry? • Draw in the diagonals. Why are they special? • Can you fold it in interesting ways? • What shapes can you make with 1, 2, 3, or more of these shapes? • Functions of this shape? • Where do you see this shapes in everyday life?**What is special about this shape?**• What does this shape remind you of? • What can you tell me about this shape? • Look at the sides and opposite angles . . . • Explain what ‘parallel’ means. • What about lines of symmetry? • These diagonals will be interesting, tell me about them. • Will it tessellate? • What shapes can you make with 1, 2, 3, or more of these shapes? • Have you seen this in the world around you?