Pre-Calculus Curriculum Framework Committee
Suggested Block Schedule Pacing Guide – Semester One
Week
1
Topics / Assessable Specifications
Committee
Key Targets
Coordinate Algebra Review
Domain/Range
Linear Equations
1, 8
 Solve equations of each type applying inverse operations to isolate variables
 Model each type of function using a graphing calculator, setting an appropriate
viewing window using domain and range with proper scaling of axes
 Apply concepts of domain and range to set an appropriate viewing window
2
Inverse functions (for lines)
Polynomial/Radical/Rational functions
Function Transformations
1, 8
 Graphically represent functions of each type – graphically represent the
inverse or explain why the inverse does not exist
 Explain the difference between horizontal and vertical asymptotes and
demonstrate in which functions [and under what conditions] they exist
 Determine intercepts/roots of each function and model the end behavior of
each
 Determine local extreme points and/or changes in direction
 Determine specific x and y values as solutions using either the TABLE
command or VALUE command
 Locate points of intersection
 Interpret asymptotic and/or end behavior by examining the graphical
representation of a given function
3
Polynomial/Radical/Rational functions
Symmetry
Composite functions
Piecewise functions
1, 8
 Explain the difference between horizontal and vertical asymptotes and
demonstrate in which functions [and under what conditions] they exist
 Interpret asymptotic and/or end behavior by examining the graphical
representation of a given function
4
Exponential/Logarithmic functions
Properties of exponents/logarithms
Solving Equations
1, 7, 8
 Solve exponential and logarithmic equations by applying the appropriate
inverse function
 Simplify exponential and logarithmic expressions by applying the appropriate
rule
 Solve equations of each type applying inverse operations to isolate variables
 Model each type of function using a graphing calculator, setting an appropriate
viewing window using domain and range with proper scaling of axes
Developed by the Milwaukee Mathematics Partnership with support by
the National Science Foundation under Grant No. 0314898.
5
Growth/Decay Graphs
Exponential/Logarithmic models
1, 7, 8
 Solve exponential and logarithmic equations by applying the appropriate
inverse function
 Apply exponential growth and decay models [A = P(1 + r)t, A = Pekt] to solve for
any variable
 Simplify exponential and logarithmic expressions by applying the appropriate
rule
 Graphically represent exponential/logarithmic functions, expressing one as the
inverse of the other
 Create an exponential/logarithmic solution model given a real-world application
 Graphically represent functions of each type – graphically represent the
inverse or explain why the inverse does not exist
 Model each type of function using a graphing calculator, setting an appropriate
viewing window using domain and range with proper scaling of axes
6
Review Factoring Techniques/Rules of Exponents
Polynomial Functions
Solving Equations with Radicals
1
 Solve equations of each type applying inverse operations to isolate variables
 Model each type of function using a graphing calculator, setting an appropriate
viewing window using domain and range with proper scaling of axes
 Determine local extreme points and/or changes in direction
7
Synthetic Division
Polynomial roots (Rational Root Theorem)
1, 8
 Graphically represent functions of each type – graphically represent the
inverse or explain why the inverse does not exist
 Explain the difference between horizontal and vertical asymptotes and
demonstrate in which functions [and under what conditions] they exist
 Determine intercepts/roots of each function and model the end behavior of
each
 Determine local extreme points and/or changes in direction
8
End Behavior/Asymptotes
Complex number introduction/Review
1, 8
 Explain the difference between horizontal and vertical asymptotes and
demonstrate in which functions [and under what conditions] they exist
 Determine intercepts/roots of each function and model the end behavior of
each
 Add, subtract, multiply, divide and exponentiate complex numbers
 Demonstrate the graphical representations of complex numbers in standard
and trigonometric forms
9
Term Review
Developed by the Milwaukee Mathematics Partnership with support by
the National Science Foundation under Grant No. 0314898.