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Learning Goal
‹7 of 7 in this cluster
Work with 2x2 matrices as transformations
Start lessonBegins with Matrix transformations plane · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
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.
HSN.VM.C.12
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What you'll learn
- Describe how a $2 \times 2$ matrix transforms the plane by tracking where the standard basis vectors go.
- Sketch the image of the unit square under a given $2 \times 2$ transformation.
- Interpret $|\det(A)|$ as the factor by which $A$ scales areas.
- Explain the geometric meaning of the sign of $\det(A)$: positive = orientation preserved; negative = orientation reversed.
- Explain why $\det(A) = 0$ corresponds to a non-invertible (area-collapsing) transformation and connect this to VM.C.10.
Slides
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1
Matrix transformations plane
✓ Start herePractice
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