Geometry 10-3 Complete Lesson: Areas of Regular Polygons
By Matthew Richardson
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Last updated over 3 years ago
24 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
Solve It: You want to build a koi pond. For the border, you plan to use 3-ft-long pieces of wood. You have 12 pieces that you can connect together at any angle, including a straight angle. If you wat to maximize the area of the pond, in what shape should you arrange the pieces? Sketch a model of your design on the canvas.
Solve It: You want to build a koi pond. For the border, you plan to use 3-ft-long pieces of wood. You have 12 pieces that you can connect together at any angle, including a straight angle. If you wat to maximize the area of the pond, in what shape should you arrange the pieces? Sketch a model of your design on the canvas.
Solve It! Explain the resoning for your koi pond design from the previous item.
Solve It! Explain the resoning for your koi pond design from the previous item.
Vocabulary: Define apothem in your own words.
Vocabulary: Define apothem in your own words.
Problem 1 Got It?
Problem 1 Got It?
Problem 2 Got It? What is the area of a regular pentagon with an 8-cm apothem and 11.6-cm sides?
Problem 2 Got It? What is the area of a regular pentagon with an 8-cm apothem and 11.6-cm sides?
Problem 2 Got It? Reasoning: If the side of a regular polygon is reduced to half its length, how does the perimeter of the polygon change? Explain.
Problem 2 Got It? Reasoning: If the side of a regular polygon is reduced to half its length, how does the perimeter of the polygon change? Explain.
Problem 3 Got It?
Problem 3 Got It?
Vocabulary: What is the relationship between the side length and the apothem in a square?
Vocabulary: What is the relationship between the side length and the apothem in a square?
Vocabulary: What is the relationship between the side length and the apothem in a regular hexagon?
Vocabulary: What is the relationship between the side length and the apothem in a regular hexagon?
Vocabulary: What is the relationship between the side length and the apothem in an equilateral triangle?
Vocabulary: What is the relationship between the side length and the apothem in an equilateral triangle?
Error Analysis: Your friend says you can use special right triangles to find the apothem of any regular polygon. What is your friend's error? Explain.
Error Analysis: Your friend says you can use special right triangles to find the apothem of any regular polygon. What is your friend's error? Explain.
Review Lesson 10-2: What is the area of a kite with diagonals 8 m and 11.5 m? Enter your response in this format: 23 square meters
Review Lesson 10-2: What is the area of a kite with diagonals 8 m and 11.5 m?
Enter your response in this format: 23 square meters
Vocabulary Review: Classify each statement as true or false.
Vocabulary Review: Classify each statement as true or false.
- In a regular polygon, all sides are congruent.
- In a regular polygon, all angles are congruent.
- True
- False
Vocabulary Review: Which figure is NOT a regular polygon?
Vocabulary Review: Which figure is NOT a regular polygon?
Use Your Vocabulary: Complete the sentence with the correct word from the list.
Use Your Vocabulary: Complete the sentence with the correct word from the list.
- angle
- side
- In a regular polygon, the apothem is the perpendicular distance from the center to a(n) __?__.
Respond with one word.
Respond with one word.
Respond with one word.
Respond with one word.
Respond with one word.
Respond with one word.
Reflection: Math Success
Reflection: Math Success