Surface area of 3D solids (prisms, cylinders, cones, pyramids, spheres)

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

"Solve real-world and mathematical problems about the: • surface area or volume of a geometric figure or an object that can be modeled by a geometric figure using given information such as length, area, surface area, or volume." "Demonstrate procedural fluency by selecting the correct: • surface area or volume formula and correctly calculating a specified value."

"Solve real-world and mathematical problems about the: • surface area or volume of a geometric figure or an object that can be modeled by a geometric figure using given information such as length, area, surface area, or volume."
"Demonstrate procedural fluency by selecting the correct: • surface area or volume formula and correctly calculating a specified value."

What you'll learn

Calculate the surface area of a rectangular prism, cylinder, pyramid, cone, or sphere by summing the areas of its faces, selecting the formula that sum gives: SA = 2*l*w + 2*l*h + 2*w*h, SA = 2*pi*r^2 + 2*pi*r*h, SA = B + (1/2)*P*l, SA = pi*r^2 + pi*r*l, SA = 4*pi*r^2
Find a slant height from a vertical height with the Pythagorean theorem, and use the slant height in the lateral area of a pyramid or cone
Decide from the wording or the context which surfaces count (total, lateral only, one base), and solve real-world problems on that basis (packaging, painting, material costs)

Review first:

Slides

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Surface area 3D solids

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Practice

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Exercise

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