GM2-7: Predict and communicate the results of translations, reflections, and rotations on plane shapes.
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 .
make a tessellation pattern
make and describe symmetrical pattern made from folding.
predict result of paper folding (Problem 1)
solve problems using additive strategies (Problems 2, 3, 4)
- 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.
- Fold paper systematically.
- Cut shapes from folded paper.
- Find number patterns derived from folding and cutting using a table.
identify the line of symmetry in two dimensional shapes
- 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 their300
- Investigate shapes that tessellate.
- Make geometric patterns by translating, reflecting and rotating shapes.
make shapes and patterns using two dimensional shapes.
- Sort attribute 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 the300
explore reflection patterns (Problems 1 and 2)
use additive strategies to solve problems (Problems 3 and 4)
complete geometric patterns showing reflection
complete symmetrical pattern drawings
- Create simple tessellations involving squares and dominoes.
- Identify the repeating element(s) in simple tessellations involving squares and dominoes.
make a pattern showing reflection on a grid
recognise triangles in patterns
make a tessellating pattern using two dimensional shapes
predict rotation patterns
make a pattern by translating or rotating a shape