Curriculum / Math / 6th Grade / Unit 7: Geometry / Lesson 15
Math
Unit 7
6th Grade
Lesson 15 of 17
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Lesson Notes
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Create nets and use them to find surface area of three-dimensional figures.
The core standards covered in this lesson
6.G.A.4 — Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
With multiple faces and calculations to keep track of, it is important for students to stay organized to understand and check their work. Writing the surface area as a numerical expression is one way to stay organized.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
The rectangular prism below has dimensions of 8 × 5 × 3 units.
a. On a piece of graph paper, draw the different rectangle faces that make up the prism and label the dimensions.
b. On the same piece of graph paper, use the faces from part (a) to draw the net of the prism.
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Grade 6 Mathematics > Module 5 > Topic D > Lesson 16 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Using the faces and/or the net you created in Anchor Problem #1, find the surface area of the rectangular prism.
Draw a net for the three-dimensional figure below. Then find the surface area.
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Draw a net for the figure below. Label the measurements for each edge. Then find the surface area of the prism.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Next
Find the surface area of three-dimensional figures with and without nets.
Topic A: Area of Triangles, Quadrilaterals, and Polygons
Find the area of parallelograms.
Standards
6.G.A.1
Find the area of right triangles.
Find the area of acute triangles using height and base.
Find the area of any triangle using height and base.
Find the area of polygons using composition and decomposition.
Solve real-world and mathematical problems involving area of polygons.
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Topic B: Polygons in the Coordinate Plane
Draw polygons in the coordinate plane and find area and perimeter (Part 1).
6.G.A.3
Draw polygons in the coordinate plane and find area and perimeter (Part 2).
Solve real-world problems involving distance, area, and perimeter of polygons on and off the coordinate plane.
6.G.A.16.G.A.3
Topic C: Volume of Rectangular Prisms
Find volume of rectangular prisms with whole number and fractional edge lengths using unit and fractional unit cubes.
6.G.A.2
Determine the formulas for finding volume of rectangular prisms and use the formulas to solve for volume.
Apply volume concepts to solve real-world and mathematical problems, including finding missing measurements.
Apply volume concepts to solve real-world and mathematical problems, including finding volume of figures with composite prisms.
Topic D: Nets and Surface Area
Describe features of and identify nets that match prisms and pyramids.
6.G.A.4
Find surface area and volume in real-world problems.
6.G.A.26.G.A.4
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