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recognize motion as a slide (translation), a turn (rotation), or a flip (reflection)
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Cut out the shape shown.
Use it as a tracer to create three different wallpaper designs. Use only slides to create one paper, only
flips to create the second paper, and turns as well as slides to create the third paper. Which do you prefer? Explain.
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recognize tessellations created with regular and irregular shapes in the environment
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Look around your neighbourhood for some examples of tessellations created from tiling with regular shapes. Draw one.
What is an example of an irregular shape? Give one instance of such a shape being used in a tessellation. Tell whether you prefer tessellations produced by using regular or irregular shapes. Why?
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locate planes of symmetry by cutting solids
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Construct 3-D solids out of modelling clay. Use piano wire to cut each solid along a plane that you think divides your solid into two congruent halves. Report your investigation in your mathematics journal. Tell how many planes of symmetry you found in each solid. Draw and label the shape of the symmetrical plane(s) found. Tell where you have seen similar planes in the human-made structures in your community.
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use coordinates to describe the position of objects in two dimensions
plot whole number, ordered number pairs in the first quadrant with intervals of 1, 2, 5, and 10
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Mark and label the two points A (1,2) and B (3,2) on this grid. Join the points with a straight line.
- Mark another point C so that the triangle ABC is
an isosceles triangle. Write down the coordinates of point C.
- Mark point D so that êABD is a right triangle. Write the coordinates of D.
- Mark point E so that êABE is a scalene triangle. Write the coordinates of E.
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identify a point in the first quadrant using ordered pairs
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Plot the following points on the grid: A (10, 30);
B (60, 20); C (80, 90).
Join the points to outline a shape. What different ways do you know to describe the shape?
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cover a surface using one or more tessellating shapes
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Use pattern blocks to create a tessellation that is at least 25 cm x 25 cm in area.
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create and identify tessellations using regular polygons
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Use a combination of regular pattern blocks to create a triangle similar to the green triangle. Design the block to have one line of symmetry.
Create and colour a tessellation.
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identify regular polygons that can tessellate a plane
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Use tape to fasten two different regular pattern block pieces together. Will the new shape tessellate a surface? If so, did you use slides, turns, or flips? Try different pairs of blocks, then create and colour a tessellation with your favourite block combination.
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Shape and Space (Transformation)
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