Pre-AP Pre-Calculus Projected/Diary Map Two-Month Sample
GENERIC LAYOUT—MAY HAVE SLIGHLTY DIFFERENT VISUAL APPEARANCE DEPENDING ON MAPPING SYSTEM USED
Month
Sept
Content
FUNCTIONS I
A. Identification: Relations
Vs. Functions With
Mapping, Coordinates,
Graphs
Resources
--Chapter 2, pp 111-129
B. Functions: Aspects
Resources
--Chapter 2, pp 132-154
Oct
FUNCTIONS II
A. Graphing Techniques
Resources
--Chapter 2, pp154-164
B. Operations On Functions
Skills
Assessment
A1. Distinguish in writing differences between
relations and functions when presented as
maps, coordinates, graphs
A2. List in writing domain and range for given
functions
A3. Evaluate in writing linear, quadratic, rational,
absolute value functions
A4. Extract information in writing from/about graph
of a function
A1-A4. 7-10 Item
Quizzes
B1. Find average rate of change of a function
B2. Determine in writing where a function is
increasing and decreasing using a calculator
B3. Locate visually and determine in writing local
maxima and minim using a calculator
B4. Determine in writing even or odd functions
from a graph
B5. Identify in writing even or odd functions from
given equation
B6. Graph electronically and in writing functions to
solve given problems
B7. Graph electronically and in writing piecewisedefined functions
B1-B7. 10 Item
Quizzes
A1. Graph in writing functions using horizontal and
vertical shifts
A2. Graph in writing functions using compressions
and stretches
A3. Graph in writing functions using reflections
about x-axis or y-axis
A1-C7. 20 Item
MC/Word Problems
(Chapter 2) Test
A1-C3. 20 Item
MC/Word Problems
(Chapter 2) Test
A1-A3. 6 Item Quiz
B1. Combine in writing functions using addition,
B1-B3. 10 Item
Standards
This private
school does not
currently use
state standards,
although they
are beginning a
state selection
process, since
they are not
bound to their
state’s
requisites.
Month
Content
Resources
--Chapter 2, pp 165-177
Skills
subtraction, multiplication, division
B2. Solve 2-step composite functions presented
as equations and applications
B3. List in writing domain for given functions
Assessment
Quiz
C. Applied Problems
Resources
--Chapter 2, pp 172-181
C1. Translate in writing given verbal description
C1-C2. 6 Word
into language of mathematics
Problems Quiz
C2. Analyze electronically and in writing real-world
mathematical models using a calculator
D. Quadratic Functions
Resources
--Chapter 3, pp 191-205
D1. Graph electronically and in writing quadratic
functions in writing by hand and/or using a
calculator
D2. Identify in writing vertex and axis of symmetry
of a quadratic function
D3. Determine in writing maximum and minimum
value of a quadratic function
D4. Find quadratic function of best fit using a
calculator
D1-D4. FOR 8 Item
(Practice Problem/
Word Problem)
Quiz
E. Power Functions
Resources
--Chapter 3, pp 209-214
E1. Graph electronically and in writing functions
by hand and/or using calculator
E1. 4 Item Quiz
F. Polynomial Functions
Resources
--Chapter 3, pp 216-228
F1. Identify in writing polynomials and their degree F1-F4. 7 Item Quiz
F2. Identify in writing zeros of a polynomial and
their multiplicity
F3. Analyze in writing graph of a polynomial
F4. Find cubic function of best fit from data by
using a calculator
G. Rational Functions
Resources
--Chapter 3, pp 228-245
G1. Find domain of a rational function
G2. Determine in writing vertical asymptotes of a
rational function
G3. Determine in writing horizontal or oblique
asymptotes of a rational function
G4. Analyze in writing graph of a rational function
using 5-step method: find, set, dash, plot, sketch
G1-G4. 6 Item Quiz
Standards