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Content
Content
Expectations:
Expectations:
Measurement
E2.6 determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together
Learning Goals
Learning Goals
We want students to understand...
We want students to understand...
How to determine the surface areas of prisms and pyramids.
Success Criteria
Success Criteria
I can determine the surface area of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together.
teacher background
teacher background
Math Background: Surface area of Prisms and Pyramids: Math Background
Pedagogy
Pedagogy
Minds On
Minds On
Source: Small, M. (2016) Open Questions: For the Three-Part Lesson Grades 4-8 Measurement, Patterning and Algebra. Pg.100
Manipulatives: Linking Cubes
You build a rectangular prism with 20 linking cubes. What could its dimensions be? Can you think of another possibility?
Sample Response
The rectangular prism could have a base of 5 cubes by 4 cubes and a height of 1 cube. It could also have a base of 5 cubes by 2 cubes and a height of 2 cubes.
Source: Khan Academy
Refer to lessons and videos that will support your students in a digital environment.
Action!
Action!
Action: N.B. Review how to calculate the area of rectangle, and triangle.
Source: Small, M. (2016) Open Questions: For the Three-Part Lesson Grades 4-8 Measurement Patterning and Algebra. Pg.102
A prism has a surface area that is exactly 20 cm2 greater than the surface area of another prism. What could the dimensions of the two prisms be?
Sample Responses: The surface area of one rectangular prism could be double 2 cm x 4 cm + 4 cm x 5 cm + 2 cm x 5 cm which is 76 cm2. The surface area of another rectangle prism could be double 2 cm x 2 cm + 2cm x 11 cm, which is 96 cm2. Once I made the first prism with the dimensions of my choice, I tried out a few different dimensions to use for the second prism that would create the extra 20 cm2.
OR First, I created a triangular prism. To figure out its surface area, I added the areas of the two bases, which were 6 cm2 each, to the areas of three rectangles, which were 5 cm x 11 cm, 4 cm x 11 cm and 3 cm x 11 cm. That was a total surface area of 144 cm2. Then, I needed to create a rectangular prism with a total surface area of 164 cm2. My rectangular prism was going to have two pairs of each size of side, so I worked with half of 164 cm2. I knew that half of that was 82 cm2, so I needed three numbers multiplied in pairs and added together to make 82. I used 3, 4, and 10 since 3 cm x 4 cm = 12 cm2, 4 cm x 10 cm=40 cm2 and 3 cm x 10 cm= 30 cm2. 12 cm2 + 40 cm2 + 30 cm2 = 82 cm2. So, my rectangular prism had a surface area of 164 cm2.
Source: Texas Gateway.org
Question: Using Nets to Find the Total Surface area of Rectangular Prism
Interactive: Calculating Surface Area and Volumes of Rectangular Prism and Triangular Prism
Consolidation Of Learning
Consolidation Of Learning
Intro to Sketchup
Sketchup for Schools (edu.sketchup.com)
Sketch up Tutorial Video: Surface Area and Volume in Sketch up
1)Work through how to build a house using Sketch up. How to calculate the surface area of the house to put on a roof, siding, and clay cement on the floor. Together calculating the surface area to get the measurements needed to order that material.
2) Develop an application project or assign one of the curriculum tutorials to build real life objects that have prisms and calculate the surface area of the materials needed.
Independent Task / Assessment Opportunities
Independent Task / Assessment Opportunities
Surface Area of Prisms and Pyramids:
Surface Area of Prisms and Cylinders:
Surface Area of Prisms and Cylinders
Technology
Technology
Google Sketchup
Google Sketchup
For Schools
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