# Volume of a Cylinder Lesson Plan

Instructor: Christopher Sailus

Chris has an M.A. in history and taught university and high school history.

In this lesson plan, we teach our students how to find the volume and surface area of a cylinder by recognizing and breaking down the equations for volume and surface area and then working in pairs to measure cylinders and use the equations.

## Learning Objectives

After this lesson, students will be able to:

• Explain the properties of a cylinder.
• Measure and determine the surface area of a cylinder.
• Measure and determine the volume of a cylinder.

45 minutes

## Key Vocabulary

At the conclusion of this lesson, students should be able to identify and define the following vocabulary terms:

• Cylinder
• Surface area
• Volume

## Curriculum Standards

#### CCSS.MATH.CONTENT.HSG.GMD.A.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

#### CCSS.MATH.CONTENT.HSG.GPE.A.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

## Instructions

• Have students watch the lesson What Are Cylinders? - Definition, Area & Volume
• Stop the video at 1:13.
• Write 'Cylinders' up on the board. Ask your students to raise their hands and identify the properties of cylinders. As they identify each property correctly, write it underneath the heading.
• Continue watching the video.
• Stop the video at 2:56.
• Write the equation for surface area up on the board. Ask your students to identify each component. As they recognize each one correctly, write it below the equation.
• For example, once a student correctly identifies it, write 'r = radius' underneath the equation.
• Continue watching the video.
• Stop the video at 4:11.
• Write the equation for volume up on the board. Ask your students to identify each component. As they recognize each one correctly, write it below the equation.
• For example, once a student correctly identifies it, write 'h = height' underneath the equation.
• Finish watching the video.
• Have students take the quiz

### Activity

Break students up into pairs. Pass out one cylinder and ruler to each student. Explain that one student should be assigned as the 'measurer' and one as 'writer.'

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