IM 7.1.6 Lesson: Scaling and Area
Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[br][img]data:image/png;base64,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[/img][br][br]How many blue rhombus blocks does it take to build a scaled copy of Figure A:[br][br] a) Where each side is twice as long?[br][br] b) Where each side is 3 times as long? [br][br] c) Where each side is 4 times as long?
Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[img]data:image/png;base64,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[/img][br]How many green triangle blocks does it take to build a scaled copy of Figure B:[br][br] a) Where each side is twice as long?[br][br] b) Where each side is 3 times as long?[br] [br] c) Using a scale factor of 4?
Use the applet to explore the pattern blocks. Then, answer the corresponding questions.
[br]How many red trapezoid blocks does it take to build a scaled copy of Figure C:[br][br][img]data:image/png;base64,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[/img][br][br] a) Using a scale factor of 2?[br][br] b) Using a scale factor of 3?[br] [br] 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? [i]Explain [/i]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.[br][br][img]data:image/png;base64,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[/img]
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? [i]Explain [/i]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 [br]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. 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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]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.
IM 7.1.6 Practice: Scaling and Area
On the grid, draw a scaled copy of Polygon Q using a scale factor of 2.
Compare the perimeter and area of the new polygon to those of Q.
A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be? Explain or show your reasoning in the applet below.
Diego drew a scaled version of a Polygon P and labeled it Q.[br][img]data:image/png;base64,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[/img][br]If the area of Polygon P is 72 square units, what scale factor did Diego use to go from P to Q? [br]Explain your reasoning.
Here is an unlabeled polygon, along with its scaled copies Polygons A–D.[br][br]For [b]each [/b]copy, determine the scale factor. [br][i]Explain [/i]how you know. [br](To answer the question you can also use the applet below.)[br][br][img]data:image/png;base64,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[/img]
Solve the equation mentally.
[math]\frac{1}{7}\cdot x=1[/math]
[math]\frac{1}{11}\cdot x=1[/math]
[math]1\div\frac{1}{5}=x[/math]