Calculus for Team-Based Inquiry Learning: PREVIEW Edition — Instructor Version

Readiness Assurance.

1. Use function notation and evaluate functions
   • Review: Khan Academy

     ¹

     www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions#x2f8bb11595b61c86:evaluating-functions
   • Practice:
     • Evaluate functions

       ²

       www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_1?modal=1
     • Evaluate functions from their graphs

       ³

       www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/evaluate-functions-from-their-graph?modal=1
     • Function notation word problems

       ⁴

       www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:interpreting-function-notation/e/function-notation-in-context?modal=1
2. Find the domain of a function
   • Review: Khan Academy

     ⁵

     www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions#x2f8bb11595b61c86:determining-the-domain-of-a-function
   • Practice: Determine the domain of functions

     ⁶

     www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:determining-the-domain-of-a-function/e/domain-of-algebraic-functions?modal=1
3. Determine vertical asymptotes, horizontal asymptotes, and holes (removable discontinuities) of rational functions
   • Review:
     • Discontinuities of rational functions

       ⁷

       www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions#x9e81a4f98389efdf:discontinuities-of-rational-functions
     • Finding horizonal asymptotes

       ⁸

       www.softschools.com/math/calculus/finding_horizontal_asymptotes_of_rational_functions/
   • Practice:
     • Rational functions: zeros, asymptotes, and undefined points

       ⁹

       www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:discontinuities-of-rational-functions/e/points-of-discontinuity-of-rational-functions?modal=1
     • Finding horizonal asymptotes

       ¹⁰

       www.softschools.com/math/calculus/finding_horizontal_asymptotes_of_rational_functions/
4. Perform basic operations with polynomials
   • Review:
     • Adding and subtracting polynomials

       ¹¹

       www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials#x65c069afc012e9d0:adding-and-subtracting-polynomials
     • Multiplying polynomials

       ¹²

       www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials/x65c069afc012e9d0:multiplying-binomials-by-polynomials/a/multiplying-binomials-by-polynomials-review
   • Practice:
     • Add polynomials

       ¹³

       www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials/x65c069afc012e9d0:adding-and-subtracting-polynomials/e/adding_and_subtracting_polynomials?modal=1
     • Subtract polynomials

       ¹⁴

       www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials/x65c069afc012e9d0:adding-and-subtracting-polynomials/e/subtract-polynomials?modal=1
     • Multiply binomials by polynomials

       ¹⁵

       www.khanacademy.org/math/get-ready-for-precalculus/x65c069afc012e9d0:get-ready-for-polynomials/x65c069afc012e9d0:multiplying-binomials-by-polynomials/e/multiplying_polynomials?modal=1
5. Factor quadratic expressions
   • Review: Khan Academy

     ¹⁶

     www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/a/factoring-simple-quadratics-review?modal=1
   • Practice: Factoring quadratics intro

     ¹⁷

     www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/e/factoring_polynomials_1?modal=1
6. Represent intervals using number lines, inequalities, and interval notation
   • Review: Varsity Tutor

     ¹⁸

     www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation