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IM 7.1.6 Lesson: Scaling and Area

Use the applet to explore the pattern blocks. Then, answer the corresponding questions.

How many blue rhombus blocks does it take to build a scaled copy of Figure A: a) Where each side is twice as long? b) Where each side is 3 times as long? c) Where each side is 4 times as long?

Use the applet to explore the pattern blocks. Then, answer the corresponding questions.

How many green triangle blocks does it take to build a scaled copy of Figure B: a) Where each side is twice as long? b) Where each side is 3 times as long? c) Using a scale factor of 4?

Use the applet to explore the pattern blocks. Then, answer the corresponding questions.

How many red trapezoid blocks does it take to build a scaled copy of Figure C: a) Using a scale factor of 2? b) Using a scale factor of 3? c) Using a scale factor of 4?

Make a prediction: How many blocks would it take to build scaled copies of these shapes using a scale factor of 5? Using a scale factor of 6? Explain your reasoning.

Your teacher will assign your group one of these figures, each made with original-size blocks. Follow the instructions below and answer the questions by using the corresponding applet.

In the corresponding applet below, move the slider to see a scaled copy of your assigned shape, using a scale factor of 2. Use the original-size blocks to build a figure to match it. How many blocks did it take?

Your classmate thinks that the scaled copies in the previous problem will each take 4 blocks to build. Do you agree or disagree? Explain you reasoning.

Move the slider to see a scaled copy of your assigned shape using a scale factor of 3. Start building a figure with the original-size blocks to match it. Stop when you can tell for sure how many blocks it would take. Record your answer.

Predict - Thinking about your assigned figure: How many blocks would it take to build scaled copies using scale factors 4, 5, and 6? Explain or show your reasoning.

How is the pattern in this activity the same as the pattern you saw in the previous activity? How is it different?

How many blocks do you think it would take to build a scaled copy of one yellow hexagon where each side is twice as long? Three times as long?

Figure out a way to build these scaled copies. Explain it or illustrate it in the applet below.

Do you see a pattern for the number of blocks used to build these scaled copies? Explain your reasoning.

Your teacher assign you one of these figures with measurements in centimeters.


What is the area of your figure? How do you know?

Work with your partner to draw scaled copies of your figure, using each scale factor in the table.

Complete the table with the measurements of your scaled copies.

Compare your results with a group that worked with a different figure. What is the same about your answers? What is different?

If you drew scaled copies of your figure with the following scale factors, what would their areas be? Discuss your thinking. If you disagree, work to reach an agreement. Be prepared to explain your reasoning.