Unit 47: Area, Volume, and Surface Area

Day 7 of 30

Area of regular polygons

9-10Mathematics

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Learning Objective

Students will explore area of regular polygons through guided practice and application.

Today's Lesson

This lesson focuses on area of regular polygons. Mathematics provides tools for modeling and analyzing complex systems.

Area is the amount of space inside a two-dimensional shape, measured in square units. For a rectangle, area = length × width. For example, a rectangle 4 units long and 3 units wide has an area of 12 square units. Area tells us how much surface something covers, like carpet for a floor or paint for a wall. Different shapes have different area formulas!

As you engage with this material, consider both the theoretical foundations and practical applications. Think critically about how this concept builds on prior knowledge and where you might apply it beyond the classroom.

Challenge yourself to go beyond memorization—seek to understand the "why" behind the processes and principles.

Key Terms
Area

The quantitative measure of a two-dimensional region

Problem

A mathematical question requiring analysis and solution

Activities
Instructions
1. Review the example problems for area of regular polygons. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

A rectangle is 6 meters long and 4 meters wide. What is its area?

Hint: Area = length × width
2

A square has sides of 5 cm. What is its area?

Hint: Area of square = side × side
3

What is the area of a triangle with base 8 and height 3?

Hint: Area of triangle = (base × height) ÷ 2

Teaching Tip

For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply area of regular polygons to novel situations.

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