What Are Scaled Copies?

• I can describe some characteristics of a scaled copy.
• I can tell whether or not a figure is a scaled copy of another figure.

Scale Factors and Making Scaled Copies

• I can describe what the scale factor has to do with a figure and its scaled copy.
• I can draw a scaled copy of a figure using a given scale factor.
• I know what operation to use on the side lengths of a figure to produce a scaled copy.

Scaled Relationships

• I can describe the effect on a scaled copy when I use a scale factor that is greater than 1, less than 1, or equal to 1.
• I can explain how the scale factor that takes Figure A to its copy Figure B is related to the scale factor that takes Figure B to Figure A.
• I can use corresponding distances and corresponding angles to tell whether one figure is a scaled copy of another.

Scale Drawings

• I can explain what a scale drawing is, and I can explain what its scale means.
• I can use a scale drawing and its scale to find actual distances.
• I can use actual distances and a scale to find scaled distances.

Creating Scale Drawings

• I can determine the scale of a scale drawing when I know lengths on the drawing and corresponding actual lengths.
• I know how different scales affect the lengths in the scale drawing.
• When I know the actual measurements, I can create a scale drawing at a given scale.

Changing Scales in Scale Drawings

• Given a scale drawing, I can create another scale drawing that shows the same thing at a different scale.
• I can use a scale drawing to find actual areas.

Units in Scale Drawings

Projecting and Scaling

• I can decide if one rectangle is a scaled copy of another rectangle.

Dilations

• I can apply a dilation to a polygon using a ruler.
• I can apply dilations to figures on a circular grid when the center of dilation is the center of the grid.

Dilations on a Square Grid

• I can apply dilations to figures on a square grid.

More Dilations

• I can apply dilations to polygons on a rectangular grid if I know the coordinates of the vertices and of the center of dilation.

Similarity

• I can use a sequence of transformations to explain why two figures are similar.
• I can use angle measures and side lengths to conclude that two polygons are not similar.

Similar Triangles

• I know how to decide if two triangles are similar just by looking at their angle measures.

Side Length Quotients in Similar Triangles

• I can decide if two triangles are similar by looking at quotients of lengths of corresponding sides.
• I can find missing side lengths in a pair of similar triangles using quotients of side lengths.