Composite 3D figures

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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.

G 702. Compute the area of composite geometric figures when planning and/or visualization is required G 601. Use relationships involving area, perimeter, and volume of geometric figures to compute another measure (e.g., surface area for a cube of a given volume and simple geometric probability) G 705. Solve multistep geometry problems that involve integrating concepts, planning, and/or visualization

G 702. Compute the area of composite geometric figures when planning and/or visualization is required
G 601. Use relationships involving area, perimeter, and volume of geometric figures to compute another measure (e.g., surface area for a cube of a given volume and simple geometric probability)
G 705. Solve multistep geometry problems that involve integrating concepts, planning, and/or visualization

What you'll learn

Decompose a composite 3D figure into standard shapes (prisms, cylinders, cones, hemispheres, pyramids)
Compute the volume of a composite figure by summing component volumes (additive) or subtracting removed volumes (subtractive)
Compute the surface area of a composite figure, correctly removing the contact area where shapes join
Distinguish between additive composites (shapes joined together) and subtractive composites (shapes carved out)
Solve ACT-style composite figure problems efficiently, selecting the right decomposition and applying memorized formulas

Review first:

Slides

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Composite 3D figures

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Practice

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Exercise

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