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Level Four > Geometry and Measurement

AO1: Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).

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Children
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Fitness

This unit examines regular tessellations, that is, tessellations that can be made using only one type of regular polygon, and semi-regular tessellations, where more than one type of regular polygon is involved. Students are required to investigate what properties tessellating shapes must have in order to cover the plane with no gaps or overlaps.

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Tessellating Art

In this unit we apply our understanding of why tessellations work to form our own unique tessellating shapes. We use these shapes to create interesting pieces of art in the style of M.C. Escher.

All M. C. Escher works (C) Cordon Art, Baarn, the Netherlands. All rights reserved. Used by permission.

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Noughts

Use symmetry as a game strategy

Apply problem solving strategies to a game context

Devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment)

Make conjectures in a mathematical context

Critically follow a chain of reasoning

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The Clumsy Tiler G

Recognise and invent patterns with reflection symmetry.

Devise and use problem solving strategies to explore situations mathematically (make a drawing, use equipment).

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More No three in a line

This activity has a logic and reasoning focus.

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Growing Up and Down!

This is a level 4 geometry strand activity from the Figure It Out series.

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Hexagon Hunt

This is a level 4 geometry strand activity from the Figure It Out series.

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Shifting Shapes

This is a level 4 geometry strand activity from the Figure It Out series.

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Kōwhaiwhai

This is a level 4 geometry strand activity from the Figure It Out series.

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Starry-eyed

This is a level 4 geometry strand activity from the Figure It Out series.

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Escher Envy

This is a level 4 geometry strand activity from the Figure It Out series.

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Stencil Style

This is a level 4 geometry strand activity from the Figure It Out series.

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Enlargement Explosion

This is a level 4 geometry strand activity from the Figure It Out series.

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Design a Logo

This is a level 4 geometry strand activity from the Figure It Out series.

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Snazzy Snowflakes

This is a level 4 geometry strand activity from the Figure It Out series.

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Golden Spirals

This is a level 4 geometry strand activity from the Figure It Out series.

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Fantastic Fractals

This is a level 4 geometry strand activity from the Figure It Out series.

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Re-Zoom

This is an activity based on the picture book Re-Zoom