Trousdale County Schools Focused Lesson Plan 2015-16
Teacher: Canaan Bowman
Unit Name: Functions
Unit #: 2
Unit Length: 9 weeks
Week: 9/14 – 9/18
Week 2 of 9
Subject: Calculus
Tennessee State Standard(s) to be taught: (Write the entire standard)

F-BF.1 – Understand how the algebraic properties of an equation transform the geometric properties of its graph.
For example, given a function, describe the transformation of the graph resulting from the manipulation of the
algebraic properties of the equation (i.e., translations, stretches, reflections, and changes in periodicity and
amplitude.

F-BF.2 – Develop an understanding of functions as elements that can be operated upon to get new functions:
assition, subtraction, multiplication, division, and composition of functions.

F-BF.3 – Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height,
and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of
the weather balloon as a function of time.

F-BF.4 – Construct the difference quotient for a given function and simplify the resulting expression.

F-IF.1 – Determine if a function is even, odd, or neither.

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 function expressed symbolically and show key features of the graph, by hand in simple cases and
using technology for more complicated cases.
I Can Statements :

I can determine vertical and horizontal stretches/shrinking of a functions graph.

I can determine the reflections of a function graph.

I can determine the symmetry of a function’s graph.

I can determine if a function is even or odd.

I can determine the vertical and/or horizontal translations of a function’s graph.

I can sketch the graph of a transformed function.

I can identify the graphs of basic parent functions.

I can perform operations on functions.

I can find the difference quotient of a function.

I can evaluate composite functions.

I can find functions that form a given composition.
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

Bell-ringer: sketch graphs of parent functions and
identify domain and range

Notes/Examples over Transformations of Functions

Practice Sketching and Describing Function
Transformations

Notes/Examples over Even and Odd Functions and
Symmetry

Notes/Examples over Function Operations

Practice Problems (HW)
Resources: PowerPoint Presentation, Practice
Problems
Technology: TI nSpires, MOBI
Assessment: questioning and observation during
student work
Assignments: Function Transformations HW
Tuesday
Wednesday

Quiz – Functions

Practice Graphing Piecewise Functions

Notes/Examples over Function Operations and
Composition

Practice Problems (HW)
Resources: PowerPoint Presentation, Practice
Problems
Technology: TI nSpires, MOBI
Assessment: Quiz, questioning and observation
during student work
Assignments: Function Operation and Composition
HW
Thursday
Friday

No School – PD Day
2