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GM2-7: Predict and communicate the results of translations, reflections, and rotations on plane shapes.

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Elaboration on this Achievement Objective

This means students will experience physically moving shapes so that they can predict the location and orientation of the shape after it has been translated, reflected or rotated, for example draw/show what this shape will look like if I give it a half turn about its centre. Students should be able to identify how many mirror lines a shape has that maps it onto itself, for example a square has four mirror lines. Translations are images of a shape as it is shifted along a line, for example translation arrows. ... Reflections are images of a shape as it is reflected in a mirror (sometimes called a flip), for example reflection arrows. Note that the line may be outside the object or within it. Rotations are images of a shape as it is turned about a point outside or within it, for example rotation arrows. .

 

Teaching resources for this Achievement Objective
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A Whale of a Time

Level Two
Geometry and Measurement
Figure It Out activities
This is a level 2 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

make a tessellation pattern

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Cut it Out

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

make and describe symmetrical pattern made from folding.

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Dotty Darts

Level Two
Integrated
Figure It Out activities
These are level 2 number and geometry problems from the Figure It Out series. A PDF of the student activity is included.

predict result of paper folding (Problem 1)

solve problems using additive strategies (Problems 2, 3, 4)

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Fold and cut

Level Two
Geometry and Measurement
Units of Work
In this unit ākonga explore line or reflective symmetry and the names and attributes of two-dimensional mathematical shapes. They fold and cut out shapes to make shapes that have line symmetry.
  • Explain in their own language what line symmetry is.
  • Describe the process of making shapes with line symmetry.
  • Name common two-dimensional mathematical shapes.
  • Describe the differences between common two-dimensional mathematical shapes in relation to number of sides.
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Fold and cut 2

Level Two
Geometry and Measurement
Units of Work
This unit involves folding and cutting paper to produce and perceive number patterns and geometric shapes. This unit contains similar content to Fold and Cut . You may want to incorporate parts of both units in your teaching.
  • Fold paper systematically.
  • Cut shapes from folded paper.
  • Find number patterns derived from folding and cutting using a table.
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Friezes

Level Two
Geometry and Measurement
Problem solving activities
This problem solving activity has a geometry focus.
  • Create a repeating pattern using geometric transformations (rotations, reflections, translations).
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Getting in Line

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

identify the line of symmetry in two dimensional shapes

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Honeycomb

Level Two
Geometry and Measurement
Units of Work
In this unit students sort and explore two-dimensional and three-dimensional geometric shapes, identify and describe their distinguishing features and come to appreciate the efficiency of the tessellating hexagon in meeting the needs of honeybees.
  • Identify distinguishing features of 2D (plane) shapes using the language of sides and corners.
  • Identify distinguishing features of 3D shapes using the language of faces, edges, vertex/vertices.
  • Explore hexagons, recognising that they tessellate.
  • Make hollow prism shapes and describe their features.
  • Rese300
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In the garden

Level Two
Geometry and Measurement
Units of Work
This unit uses the context of a garden to explore the line and rotational symmetry of shapes.
  • Make geometric patterns by reflecting, rotating, and translating shapes.
  • Describe the reflective and rotational symmetry of shapes.
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Lots of squares

Level Two
Geometry and Measurement
Problem solving activities
This problem solving activity has a geometry focus.
  • Describe the properties of a square.
  • Work systematically when problem solving.
  • Devise and use problem solving strategies (act it out, use equipment, draw a picture).
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Pattern Play

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

make shapes and patterns using two dimensional shapes.

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Picasso

Level Two
Geometry and Measurement
Units of Work
This unit uses the context of Picasso's art to explore two and three-dimensional shapes, to recognise their features, and to develop appropriate language to discuss Picasso's and their own artworks.
  • Sort geometric blocks and explain their groupings.
  • Understand and use geometric language to describe the features of two-dimensional (plane) shapes.
  • Create an artwork using plane shapes.
  • Recognise how shape is an important feature of Picasso’s artworks.
  • Understand and describe the features of a cube.
  • Cre300
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Reflect on This

Level Two
Integrated
Figure It Out activities
These are level 2 number and geometry problems from the Figure It Out series. A PDF of the student activity is included.

explore reflection patterns (Problems 1 and 2)

use additive strategies to solve problems (Problems 3 and 4)

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Sea Symmetry

Level Two
Geometry and Measurement
Figure It Out activities
This is a level 2 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

complete geometric patterns showing reflection

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Shipping Container Space

Level Two
Geometry and Measurement
Figure It Out activities
This is a level 2 activity from the Figure It Out series. A PDF of the student activity is included.
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Sketching the Etching

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

complete symmetrical pattern drawings

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Tessellating tiles

Level Two
Geometry and Measurement
Units of Work
In this unit students explore tessellations using the context of bathroom tiles. Squares and dominoes are used in a variety of different colour combinations to help students develop design ideas and make a model of their own tile tessellation.
  • Create simple tessellations involving squares and dominoes.
  • Identify the repeating element(s) in simple tessellations involving squares and dominoes.
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The Mirror Game

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

make a pattern showing reflection on a grid

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Three in a line

Level Two
Integrated
Problem solving activities
This problem solving activity has a logic and reasoning focus.
  • Rotate pattern pieces through quarter and half turns.
  • Be systematic and count possibilities.
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Transforming patterns

Level Two
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in an investigation into the results of transformations on given shapes.
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Tricky Triangles

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

recognise triangles in patterns

make a tessellating pattern using two dimensional shapes

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Tumble Time

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

predict rotation patterns

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Wrap it Up

Level Two
Geometry and Measurement
Figure It Out activities
This is a Level 2 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.

make a pattern by translating or rotating a shape