Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Canaan Bowman
Unit Name: Functions
Unit #: 2
Unit Length: 9 weeks
Week: 10 /26 – 10/30
Week 7 of 9
Subject: Calculus
Tennessee State Standard(s) to be taught: (Write the entire standard)

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 such 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.
I Can Statements :

I can graph polynomial functions.

I can determine the zeros of polynomial functions.

I can determine the intervals over which a function is increasing, decreasing, or constant.

I can model real-world scenarios wit quadratic functions.

I can graph rational functions.

I can identify the equations of asymptotes or rational functions.

I can write the equation of a polynomial function given its zeros.
Accommodations for students, both regular and special populations :

Extra practice time may be given using InteractMath technology online.

One-on-one and/or peer tutoring.

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
Monday
1
Tuesday

Review Rational Functions

Practice Graphing Rational Functions

Prep Questions for Test (HW)
Resources: Practice Problems
Technology: TI nSpires, MOBI
Assessment: observation/questioning during student work
Assignments: Practice Problems for Test
Wednesday
Thursday

Go over/check HW

Test – Polynomial and Rational Functions

Inverse Functions Reading Assignment and Practice
Problems
Resources: Test – Polynomial and Rational Functions
Technology: TI nSpires, MOBI
Assessment: homework, Test
Assignments: Inverse Functions Reading Assignment and
Practice Problems
Friday
2