GM2-7: Predict and communicate the results of translations, reflections, and rotations on plane shapes.
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 
... Reflections are images of a shape as it is reflected in a mirror (sometimes called a flip), for example 
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 
.
Teaching resources for this Achievement Objective
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.
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.
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.
Level Two
Geometry and Measurement
Units of Work
In this unit students 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.
Level Two
Geometry and Measurement
Units of Work
This unit involves folding and cutting paper to see the number patterns that are produced and to see what geometric shapes can be made. This unit contains similar content to Fold and Cut. You may want to take parts from both units when planning your own teaching.
Level Two
Geometry and Measurement
Problem solving activities
Level Two
Geometry and Measurement
Student e-Ako
This interactive learning module supports students to explore how reflection (flipping) rotation (turning) and translation (sliding) can be used to make patterns.
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.
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.
Level Two
Geometry and Measurement
Units of Work
This unit uses the context of a garden to explore Level 2 symmetry and transformation concepts (translation, reflection and rotation).
Level Two
Geometry and Measurement
Problem solving activities
Level Two
Integrated
Units of Work
This unit builds the learning of mathematics around celebrations of Matariki, the Māori New Year. The sessions provide meaningful contexts that highlight Māori culture and provide powerful learning opportunities that connect different strands of mathematics.
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.
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 in the students appropriate language to discuss Picasso's and their own artworks.
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.
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.
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.
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.
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.
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.
Level Two
Integrated
Problem solving activities
This activity has a logic and reasoning focus
Level Two
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in an investigation into the results of tranformations on given shapes.
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.
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.
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.