Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Canaan Bowman
Unit Name: Functions
Unit #: 2
Unit Length: 9 weeks
Week: 11/2 – 11/6
Week 8 of 9
Subject: Calculus
Tennessee State Standard(s) to be taught: (Write the entire standard)

N-NE.1 – Use the laws of exponents or logarithms to expand or collect terms in expressions; simplify expressions of modify
them in order to analyze them or compare them.

F-BF.5 – Find inverse functions (including exponential, logarithmic, and trigonometric). a. Calculate the inverse of a function
, f(x), with respect to each of the functional operations; in other words, the additive inverse, -f(x), the multiplicative
1
inverse, , and the inverse with respect to composition, f-1(x). Understand the algebraic and graphical implications of each
𝑓(𝑥)


type. b. Verify by composition that one function is the inverse of another. c. Read values of an inverse function from a graph
or a table, given that the function has an inverse. d. Recognize a function is invertible only if it is one-to-one. Produce an
invertible function from a non-invertible function by restricting the domain.
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.
I Can Statements :

I can find the equation of a function’s inverse.

I can identify one-to-one functions.

I can identify and describe the properties of exponential functions.

I can sketch the graph of an exponential function.

I can solve exponential equations using properties of exponents.

I can derive the formula for compound interest.

I can solve problems involving compound interest.

I can use limits to derive the value of “e.”
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
1
Monday

Go over HW

Notes/Examples over Exponential Functions

Practice Problems (HW)
Resources: Notes and Practice Problems
Technology: MOBI, TI nSpires
Assessment: Observation/questioning during student
work
Assignments: Exponential Functions HW
Tuesday
Wednesday

Financial Aid Workshop
Thursday
Friday

Go over/check HW

Notes/Examples over Compound Interest and The
Number “e”

Practice Problems (HW)
Resources: Notes and Practice Problems
Technology: MOBI, TI nSpires
Assessment: Observation/questioning during student
work
Assignments: Compound Interest HW
2