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This interactive guide template serves as a tool for students to explore the relationship between area and perimeter of various shapes. Students will fill in complete sentences to answer questions about shapes with given perimeters of 12, 16, and 20, such as comparing areas, noticing patterns, and identifying which shapes maximize area. The guide encourages critical thinking about geometric properties and includes the ability to illustrate findings with drawings.
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Interactive Guide Presentation Put your names here please this is a template for you to input your answers from your worksheet. Be sure your answers are complete sentences. Be sure you answer the WHOLE question!
Perimeter of 12 What did you notice about how the perimeters and areas of each of the shapes you worked with?
What did you notice about these new shapes? Explain how the area and perimeter found for each shape compare to each other and how they compare to your earlier shapes?
Perimeter of 12 Which shape had the largest area? Why do you think so?
Perimeter of 16 What did you notice about how the perimeters and areas of each of the shapes you worked with?
Perimeter of 16 What did you notice about these new shapes? Explain how the area and perimeter found for each shape compare to each other and how they compare to your earlier shapes?
Perimeter of 16 Which shape had the largest area? Why do you think so?
Perimeter of 20 What did you notice about how the perimeters and areas of each of the shapes you worked with?
Perimeter of 20 What did you notice about these new shapes? Explain how the area and perimeter found for each shape compare to each other and how they compare to your earlier shapes?
Perimeter of 20 Which shape had the largest area? Why do you think so?
Does making the perimeter a constant make the area a constant as well? Why or Why not?
Which shape maximizes the area for a given perimeter? I will also want a screenshot example.
What happens if you use a perimeter of 14? What is the largest area you can find if the perimeter is 14? Draw it using the drawing tools on the presentation.