Stretching and Shrinking Parent Letter - Click here to access
Investigation 1 - Enlarging and Reducing Shapes
Problem 1.1 - Launch video
Focus Question: What does it mean for two figures to be similar?
Focus Question: When you copy a figure at a certain scale factor (e.g. 150%), how does this value affect the measurements of the new figure?
Problem 2.1 - Launch video
Focus Question: How can you determine if two shapes are similar by looking at the rule for producing specific coordinates for the image?
Focus Questions: What types of coordinate rules produce similar figures? What types of coordinate rules produce non similar figures? For a pair of similar figures, how can you use a coordinate rule to predict the side lengths of the image?
Problem 2.3 - Launch video
Focus Question: How can you decide whether or not two shapes are similar?
Investigation 3 -
Investigation 3 ACE Problems
Problem 3.1 - Launch video
Focus Questions: What types of quadrilaterals are rep-tiles? How do rep-tiles show that the scale factors and areas of similar quadrilaterals are related?
Problem 3.2
Focus Question: Which types of triangles are rep=tiles? Explain.
Problem 3.3
Focus Question: How can you use scale factors to draw similar figures or to find missing side lengths in similar figures?
Problem 3.4
Focus Question: How can you use similar triangles to find a distance that is difficult to measure directly?
Investigation 4 -
Investigation 4 ACE Problems
Problem 4.1 - Launch video
Focus Question: What information does the ratio of adjacent side lengths within a rectangle give you?
Problem 4.2
Focus Question: For a pair of triangles, if the measures of corresponding angles are equal, how can you use ratios of side lengths to determine whether or not the tirnagles are similar?
Problem 4.3
Focus Question: If two shapes are similar, how can you use information about the shapes to find unknown side lengths, perimeters, and areas?
Problem 4.4 - Launch video
Focus Question: How can you use similar triangles to estimate the heights of tall objects?