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# Finding the surface area of triangular prisms using a net

Lesson 18 of 37

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

#### Lesson Beginning

*20 min*

***Creating Nets**

I start the lesson by giving every student a pair of scissors and a net on cardstock similar to the one shown in the resource. I have noticed that students often have difficulty seeing the faces of a triangular prism when it is represented on a piece of paper. Constructing the model (**MP5**) helps students make the connections. I’ll give the students about 3 minutes (timed) to cut out their net and fold on the dotted lines. I will have a completed net to show students how their net should look. Students will not tape the nets together as we will need to open and close them throughout parts of the discussion.

***Discussion**

Now that we have our nets, we use them to answer the discussion questions. I’ll pose each question as a think-pair-share. I will walk around during the pair to hear what students are saying and to pose the question to pairs that seem reticent to speak. I will try to keep a brisk pace as we work through each question. The questions are designed to get students to see how the parts of the prism are related.

*****Guided Problem Solving**

I will now guide the students into finding the surface area of the net represented in their hands on their paper. First we will find the area of the bases. I will look to make sure students identify correctly the base and the height of the base. Students will be confused by the fact that a triangular prism has 2 bases and 2 heights – one set belonging to the prism itself and the other belonging to the base shape. We will then find the area of the lateral faces. I hope by now students will begin to see that each lateral face has dimensions from one side of the triangle and the prisms height.

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#### Exit Ticket

*15 min*

After making sure students have solved the problems correctly we will summarize. I will **cold card** students with the discussion questions. If a student has a misconception they are not off the hook. I will call on another student to help the student, but ultimately that student will need to answer the question**(MP3)**. Students will then have the rest of the time to solve 2 triangular prism problems. I have included a composite shape at the end as a pre-assessment of future lessons.

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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
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- 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