By the end of this unit, you will be able to:

*SCO 1 Determine the surface area of composite 3D objects to solve problems.*1.1 Determine the area of overlap in a given composite 3D object, and explain the effect on determining the surface area (limited to right cylinders, right rectangular prisms, and right triangular prisms).

1.2 Determine the surface area of a given composite 3D object (limited to right cylinders, right rectangular prisms, and right triangular prisms).

1.3 Solve a given problem involving surface area.

*SCO 2 Demonstrate an understanding of similarity of polygons.*2.1 Determine if the polygons in a given presorted set are similar, and explain the reasoning.

2.2 Model and draw a polygon similar to a given polygon, and explain why the two are similar.

2.3 Solve a given problem using the properties of similar polygons.

*SCO 3 Draw and interpret scale diagrams of 2D shapes.*

3.1 Identify an example of a scale diagram in print and electronic media.

3.2. Draw a diagram to scale that represents an enlargement or a reduction of a given 2D shape.

3.3 Determine the scale factor for a given diagram drawn to scale.

3.4 Determine if a given diagram is proportional to the original 2D shape, and if it is, state the scale factor.

3.5 Solve a given problem that involves the properties of similar triangles.

*SCO 4 Demonstrate an understanding of line and rotation symmetry.*4.1 Classify a given set of 2D shapes or designs according to the number of lines of symmetry.

4.2 Complete a 2D shape or design, given one half of the shape or design and a line of symmetry.

4.3 Determine if a given 2D shape or design has rotation symmetry about the point at its centre, and if it does, state the order and angle of rotation.

4.4 Rotate a given 2D shape about a vertex, and draw the resulting image.

4.5 Identify the type of symmetry that arises from a given transformation on a Cartesian plane.

4.6 Complete, concretely or pictorially, a given transformation of a 2D shape on a Cartesian plane, record the coordinates, and describe the type of symmetry that results.

4.7 Identify and describe the types of symmetry created in a given piece of artwork.

4.8 Determine whether or not two given 2D shapes on a Cartesian plane are related by either rotation or line symmetry.

4.9 Draw, on a Cartesian plane, the translation image of a given shape using a given translation rule such as R2, U3...; label each vertex and its corresponding ordered pair; and describe why the translation does not result in line or rotation symmetry.

4.10 Create or provide a piece of artwork that demonstrates line and rotation symmetry, and identify the line(s) of symmetry and the order and angle of rotation.

**Symmetry**

**Line of Symmetry:** A line that can be drawn (called a mirror line), that divides the image into identical reflections.

**Plane of Symmetry: **A plane that can be drawn that divides 3D images into identical reflections.

**Rotational Symmetry: **Shape or image can be rotated and it still looks the same, must match itself at least twice.