GM3-6: Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto another.
This means students will explore and describe transformations. “Transformation” is a generic term used to describe actions on shapes that result in some form of pattern, usually symmetric. A reflection is the image of a shape as seen through a mirror line either inside or outside the shape, sometimes called a “flip”. A rotation is the image of the shape turned about a point either inside or outside the shape. A translation is the image of a shift of the shape along a line, and an enlargement is the image of the shape made bigger or smaller by some scale factor. At Level Three students should be able to compare the image of a shape with the original and describe the transformation. This can include a sequence of two transformations. For example:
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A' is the image of A | B' is the image of B | C' is the image of C |
- Create geometric shapes that satisfy the no three in a line condition on 3 by 3 grids.
- Use a systematic approach to find possible outcomes.
use reflection to solve puzzles (Problem 2)
explore shape puzzles (Problems 3 and 4)
- Describe the rotational symmetry of shapes.
- Describing the symmetry of patterns.
investigate symmetry
- Identify, describe, and demonstrate rotation, translation and reflection within simple designs.
- Estimate and measure the areas of rectangles.
- Accurately measure in centimetres.
- Apply addition and multiplication strategies to problems involving centimetres and a measurement context.
- Create an accurate300
- Describe the results of reflection.
draw a reflection picture
identify reflections in patterns
complete patterns to show reflectional symmetry
complete a tesselation pattern
- Find all the lines of symmetry on a given shape.
- Identify the order of rotational symmetry for a given shape (how many times it "maps" onto itself in a full turn).
- Create designs which demonstrate reflection symmetry and rotational symmetry (orders 2, 3, 4, 6).
- Identify the invariant properties of a300
identify features of two dimensional shapes (Problem 1)
multiply and divide numbers by multiples of 10 (Problem 2)
explore fractions (Problem 3)
fit puzzle pieces together to form a square (Problem 4)
explore patterns of adding odd and even numbers (Problem 1)
explore tessellations with two dimensional shapes (Problem 2)
estimate in kilograms (Problem 4)
- Enlarge a figure to a given scale.
make and describe a tessellation pattern
describe a tessellation pattern using interior angles
make a tessellation pattern using rotational symmetry
find fractions of regions (Problem 1)
solve addition problems involving money (Problem 2)
explore rotational symmetry (Problem 3)
investigate bar and pie graphs (Problem 4)