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# Using a Formula to Find the Surface Area of Prisms

Lesson 17 of 37

## Objective: SWBAT find the surface area of prisms using a formula

#### Lesson Beginning

*5 min*

In this section, I present the students with a real-world tie in. I’ll show a box that is in shrink wrap. I’ll then ask: “Why would I need to know the surface area of this prism?” Students hopefully will relate the surface area to the amount of wrapping. Tie this concept into how this would need to be calculated for an item that is mass produced. I will then ask the essential question: How can you find the surface area of prisms using a formula? I remind students that we have already found the surface area of prisms by finding the sum of the areas of all faces. Today we use a formula. All surfaces area formulas of prisms summarize to: Surface area = area of bases + areas of lateral faces. Throughout the lesson students have a chance to practice **MP2 **as they represent solutions using mathematical symbols (formulas). For example, when students are confronted with an expression like 2lw, they see that this represents the total area of two opposite faces of a rectangular prism. In addition, students are solving problems using algebra as a model (**MP4**).

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#### Lesson Middle

*35 min*

This part of the lesson is the “I”, “WE”, and “YOU” of the lesson. In the “I” section I present two examples. Students are to watch my example and then fill in notes when instructed. In the “WE” section, students work together to solve problems that are similar to the examples. They are to show work in a manner similar to the model given in the “I” section. In the “YOU” section, it is all independent work. I will have identified students who need support at this point. Struggling students will be reminded to follow the steps in the examples first before asking for help. When nearly all have finished the main independent practice, we’ll go over solutions as needed.

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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