Digital SAT Math

Lesson Plan

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

Goals / Objectives

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 = 2lw + 2lh + 2wh, SA = 2pir^2 + 2pirh, SA = B + (1/2)Pl, SA = pir^2 + pirl, SA = 4pir^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)

Standards

"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."

Academic Vocabulary

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Enrichment

This lesson’s brief has no Differentiation

Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

Independent Practice

Pacing

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