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# Finding the Surface Area of Cylinders Using a Formula

Lesson 21 of 37

## Objective: SWBAT solve problems about the surface area of cylinders using a formula

## Big Idea: Students have already discovered the formula for themselves. Now they put it to use solving problems.

*50 minutes*

#### Lesson Beginning

*10 min*

I will state the essential question: how can you find the surface area of a cylinder using a formula?Next, I will remind students that they have already explored cylinders and discovered for themselves the surface area formula. I’ll ask “How could you explain in simple terms how to find the surface area of cylinder without resorting to formulas?” I’ll ask students if they can recreate the formula based on this explanation. Then I’ll post the standard formula. Using the general surface area formula, I’ll cold call students to identify the various parts of the formula and to what part of the cylinder they belong. This is an opportunity again for students to develop **MP7**. In addition, we are now going to use a formula that we understand to model and solve a problem (**MP4)**. Then, I’ll say today we will use the formula to solve problems about surface area of cylinders. Then, we’ll work through 1-2 examples.

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#### Lesson Middle

*30 min*

Students now work with their partner(s) to solve about 6 surface area problems. This is guided practice. One of the first problems requires students to describe to each other what the parts of the formula mean. I will circulate and listen in on these discussions. After about 10 minutes, we’ll discuss some of the problems as needed. Be on guard for common mistakes: forgetting to include the area of both bases; doubling a radius as opposed to squaring it; using the diameter instead of the radius; etc. Students are then to work independently on a similar set of problems followed by the extension. I will focus my attention on students who are still struggling during guided practice. I will provide guided questions to students who have reached the extension. We will then quickly go over various students solutions.

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment