Effects of scaling on area and volume

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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.

"Apply knowledge that changing by a scale factor of k changes all lengths by a factor of k, changes all areas by a factor of k^2, and changes all volumes by a factor of k^3."

What you'll learn

Find how a figure's area and volume change when every linear dimension is scaled by a factor k (area by k^2, volume by k^3, whether k is above or below 1), and explain why from area and volume as products of two and three lengths
Tell full scaling from partial scaling: when only some dimensions change, find the effect by substituting into the formula rather than applying k^2 or k^3
Work backward from an area or volume ratio to find the linear scale factor

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Slides

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Effects of scaling

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Practice

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Exercise

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