Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Canaan Bowman
Unit Name: Functions
Unit #:
Unit Length: 9 weeks
Week:10/5 – 10/9
Week 5 of 9
Subject: Calculus
Tennessee State Standard(s) to be taught: (Write the entire standard)
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F-IF.2 – Analyze qualities of exponential, polynomial, logarithmic, trigonometric, and rational functions and solve real world
problems that can be modeled with these functions (by hand and with appropriate technology).
F-IF.3 – Identify or analyze the distinguishing properties of exponential, polynomial, logarithmic, trigonometric, and rational
functions from tables, graphs, and equations.
F-IF.4 – Identify the real zeros of a function and explain the relationship between the real zeros and the x-intercepts of the
graph of a function (exponential, polynomial, logarithmic, trigonometric, and rational).
F-IF.5 – Identify characteristics of graphs based on a set of conditions or on a general equation sic as y = ax2 + c.
F-IF.6 – Visually locate critical points on the graphs of functions and determine if each critical point is a minimum, a
maximum, or point of inflection. Describe intervals where the function is increasing or decreasing and where different types
of concavity occur.
F-IF.7 – Graph rational functions, identifying zeros, asymptotes, (including slant), and holes (when suitable factorizations
are available) and showing end behavior.
S-MD.2 – Determine a regression equation to model a set of bivariate data. Justify why this equation best fits the data.
I Can Statements :
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I can graph polynomial functions that illustrate zeros, y-intercepts, and end behavior.
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I can write the equation of a polynomial function given its zeros (real and/or complex).
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I can apply the Intermediate Value Theorem to locate zeros.
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I can find all zeros of polynomial functions.
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I can find a regression equation that best fits a set of data.
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I can graph rational functions.
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I can analyze the graph of a rational function.
Accommodations for students, both regular and special populations :
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Extra practice time may be given using InteractMath technology online.
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One-on-one and/or peer tutoring.
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Re-take quizzes on which students perform poorly.
Unit Vocabulary: relation, function, domain, range, increasing, decreasing, constant, slope, average rate of change, slope-intercept
form, point-slope form, parallel line, perpendicular, line, linear regression, continuity, identity function, squaring function, cubing
function, square root function, cube root function, absolute value function, greatest integer function, piecewise function, vertical
shrink, vertical stretch, horizontal shrink, horizontal stretch, reflection, symmetry, even function, odd function, vertical translation,
horizontal translation, composition of functions, difference quotient, parabola, vertex, remainder theorem, zeros, factor theorem,
rational zeros theorem, fundamental theorem of algebra, number of zeros theorem, conjugate zeros theorem, Descartes’ Rule of
Signs, turning points, end behavior, intermediate value theorem, boundedness theorem, reciprocal function, vertical asymptote,
horizontal asymptote, rational function, quadratic function, one-to-one function, inverse function, exponential function, compound
interest, continuous compounding, e, logarithm, logarithmic function, natural logarithm, common logarithm, change-of-base theorem,
exponential growth, exponential decay
Resources, Technology, Formative and/or Summative
Daily Agenda
Assessments, Assignments, and a Daily Activity for citing
text based evidence in conversations and/or writing
1
Monday
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Go over HW
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Notes/Examples over Polynomials with Complex Zeros
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Notes/Examples over Polynomial Function Graphs
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Practice Problems (HW)
Resources: Examples/Practice Problems, Notes
Technology: MOBI, TI nSpires
Assessment: observation/questioning during student
work, homework
Assignments: Zeros and Graphs of Polynomial
Functions HW
Tuesday
Wednesday
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Go over/check HW
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Extra Practice for Sketching Polynomial Graphs
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Notes/examples over the Intermediate Value Theorem
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Practice Finding all Zeros of Polynomial Functions and
Polynomial Regressions
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Notes/Examples over Rational Function Graphs
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Practice Problems/Study Guide for Quiz (HW)
Resources: Examples/Practice Problems, Notes
Technology: MOBI, TI nSpires
Assessment: observation/questioning during student
work, homework
Assignments: Polynomial Function Graphs/Study
Guide
Thursday
Friday
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Go over HW
Quiz over Polynomial Functions
Continue Notes/examples over Rational Functions
Practice Problems (HW)
Resources: Examples/Practice Problems, Notes, Quiz
Technology: MOBI, TI nSpires
Assessment: observation/questioning during student
work, homework, Quiz
Assignments: Rational Functions HW
2