GA - Geometric Applications Module Overview

Math_MS7Banner.pngGeometric Applications Module Overview

Introduction

image of Epcot Center with the caption: "I wonder how much water could fit into the Epcot sphere??"Students will learn to use the formulas for area and circumference of a circle to solve problems. They will explain the relationship between the circumference and area of the circle. Students will learn to solve real-world problems that involve area, volume, and surface area of two and three dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Essential Questions

  • How do you find the circumference of a circle?  
  • How do you find the area of a circle?
  • How can you use the circumference of a circle to find the area?
  • How are circumference and area of circles related?
  • What is a composite figure?
  • How can you find the area of a composite figure?
  • How can you find the volume of a figure composed of cubes and prisms?
  • How can you find the surface area of a figure made up of prisms?

Key Terms

The following key terms will help you understand the content in this module.

Area - Area is the number of square units necessary to cover a given surface.

Diameter - The diameter of a circle is a line segment that passes through the center of a circle and whose endpoints lie on the circle.

Circumference - The circumference is the distance around a circle and is found by multiplying the diameter by 3.14(pi).

Composite Figure - A composite figure is a shape that can be divided into more than one of the basic figures.

Pi - Pi is the ratio of a circle's circumference to its diameter. The constant represented by 3.14.

Radius -The radius is a line segment that represents the distance from the center of a circle to a point on the circle.

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