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Learning Goal
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Rewrite rational expressions
Start lessonBegins with Rational expressions · 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.
HSA.APR.D.6
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What you'll learn
- Rewrite a rational expression a(x)/b(x) in the form q(x) + r(x)/b(x) by performing polynomial long division
- Identify when a rational expression is a proper fraction (degree of numerator < degree of denominator) vs. an improper fraction, and explain why the division algorithm is needed for improper cases
- Perform polynomial long division step by step, correctly handling missing degree terms
- Verify the result of polynomial division using the check: a(x) = b(x)·q(x) + r(x)
- Recognize when the remainder is zero, interpreting this in terms of the Factor Theorem (b(x) divides a(x) evenly)
Slides
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1
Rational expressions
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