Digital Agenda
AP Calculus AB
Week of
August 10, 2015 August 14, 2015
Unit 1: Functions
Check In/Do Now: Homework Corrections
Essential Question (s):
1. Am I able to find the domain and range of a given function both as a graph and as an algebraic function?
2. Am I able to apply basic function transforamtions to a parent functionand interpret the results of these transformations verbally,
graphically, and numerically?
3. How can I compare and contrast characteristics of different families of functions, such as polynomial, rational, radical, power,
exponential, logarithmic, trigonometric, and piecewisedefined functions, and translate among verbal, tabular, graphical and
symbolic representation of functions?
Standard(s) from Instructional Guide:
PC.1.1.1 Determines the domain and range of functions as represented by symbols and graphs, where appropriate.
PC.1.2.3 Applies basic function transformations to a parent function f (x), including a • f (x), f (x) + d, f (x – c), f (b • x), |f (x)|, and f (|x|),
and interprets the results of these transformations verbally, graphically, and numerically.
PC.1.1.6 Compares and contrasts characteristics of different families of functions, such as polynomial, rational, radical, power,
exponential, logarithmic, trigonometric, and piecewise-defined functions, and translates among verbal, tabular, graphical, and symbolic
representations of functions.
PC.1.2.2 Forms the composition of two functions, and determines the domain, range, and graph of the composite function. Composes
two functions to determine whether they are inverses
PC.1.1.4 Recognizes and describes continuity, end behavior, asymptotes, symmetry (odd and even functions), and limits, and connects
these concepts to graphs of functions.
Student Objective (s): Students will:
N/A
Familiarize students with graphing calculator
1.1
Reviw concept of functions
1.1
Apply 4 representations of functions(graphing calculator usage)
1.2
Review Linear functions
1.2
Understand Polynomial & rational functions (roots & poles)
1.2
Understand Exponential & logarithmic functions
1.2
Apply Trigonometric functions
1.3
Apply Transformations of functions
1.3 and 1.7 Graph Compositions and inverses
1.1 Graph Piecewise defined functions
Assessment and Student Reflection:
End of a lesson writing reflection and exit slips
.
WHOLE GROUP
Demonstrate how to use “ask myself “ questions to understand problems
1. What questions can you ask yourself to make sense of a problem?
2. What can you do if you get stuck on a problem?
3. Are there words that you don’t undersand?
4. What is the problem talking about?
5. What are the numbers/symbols in the problem and what do they mean?
DIRECT STATION
Lead a group discussion in which students
Analyze the functions and symbols.
Students will listen and talk about their
Understanding.
COLLABORATIVE STATION
Have students work on their own for
several minutes before interacting
with their partner. Partners should
focus on explaining to each other how
they arrived at the solution.
INDEPENDENT STATION
1. Graph functions using
Transformations
www.ouchihs.org under
AP Calculus
Students will explore various
functions.
2. Explore functions using a
Calculstor.