Curriculum / Math / 6th Grade / Unit 7: Geometry / Lesson 16
Math
Unit 7
6th Grade
Lesson 16 of 17
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Find the surface area of three-dimensional figures with and without nets.
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 foundational standards covered in this lesson
6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students use their skills from 6.EE.1 and 6.EE.2 to efficiently represent and find surface area using numerical expression.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
A rectangular prism is shown below.
a. Write a numerical expression, using the dimensions, that represents the surface area of the prism.
b. Evaluate your expression to find the surface area in square units.
Find the surface area of the isoceles triangular prism below.
A square pyramid is shown.
Maya writes the expression $$4{\left ({1\over2}\cdot 12 \cdot 15\right ) + 12^2}$$ to represent the surface area of the pyramid. Is Maya’s expression correct? Explain why or why not.
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
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A cube is shown below.
a. Write a numerical expression that represents the surface area of the cube, and then use it to find the value of the surface area in square inches.
b. How does your numerical expression change if one of the side lengths of the cube becomes 10 inches? Write and evaluate a new numerical expression to represent the surface area of the new 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.
Lesson 15
Lesson 17
Topic A: Area of Triangles, Quadrilaterals, and Polygons
Find the area of parallelograms.
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.1 6.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
Create nets and use them to find surface area of three-dimensional figures.
Find surface area and volume in real-world problems.
6.G.A.2 6.G.A.4
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