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# Finding the Surface Area of a Triangular Prism Using A Formula

Lesson 19 of 37

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

*50 minutes*

#### Lesson Beginning

*5 min*

*I’ll begin with some turn-and-talk questions to get students to generate what we have already learned about surface area of a triangular prism. I might ask “How did we find the surface area of a triangular prism in the previous lesson?” I will hold up a model of a triangular prism while asking this question so that students have a good visual. I want to hear a response that says to find the area of each face and add these areas. I want to lead students towards a general formula (Surface area = area of bases + areas of lateral face) for the surface area of a triangular prism (or any prism). So if necessary I will ask students to look at the prism as being composed of the bases and the lateral faces. How could we write a formula in terms of these terms? During this discussion, students are engaged in at least 2 of the mathematical practices. MP6 is evident as students are using precise language regarding prisms –bases & lateral faces. MP7 is evident as students are able to shift perspectives and see that all prisms are made up of bases and lateral faces, yet the specific base shapes may change.*

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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. The reason for this is two-fold: 1) It gives students a step-by-step approach that will allow them to be successful; 2) It helps me to diagnose any misconceptions. 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 End + Homework

*10 min*

I ask for a student to summarize a general formula for the surface area of any prism. We quickly discuss this, and then students take the exit ticket.

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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