Lesson 1: What are Scaled Copies?

Here is a portrait of a student. Move the slider under each image, A–E, to see it change.

1. Which images are most like the original? Which are least like the original? Explain your reasoning.
2. Some of the sliders make scaled copies of the original portrait. Which of the Portraits A–E do you think are scaled copies? Explain your reasoning.
3. What do you think “scaled copy” means?

On the top left is the original drawing of the letter F. There are also several other drawings.

1. Identify all the drawings that are scaled copies of the original letter F drawing. Explain how you know.
2. Examine all the scaled copies more closely, specifically, the lengths of each part of the letter F. How do they compare to the original? What do you notice?
3. On the grid, draw a different scaled copy of the original letter F.

Your teacher will give you a set of cards that have polygons drawn on a grid. Mix up the cards and place them all face up.

1. Take turns with your partner to match a pair of polygons that are scaled copies of one another.
   1. For each match you find, explain to your partner how you know it’s a match.
   2. For each match your partner finds, listen carefully to their explanation, and if you disagree, explain your thinking.
2. When you agree on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches.
3. Select one pair of polygons to examine further. Use the grid below to produce both polygons. Explain or show how you know that one polygon is a scaled copy of the other.