PreCalculus Curriculum Map
Demana, Waits, Foley, Kennedy
Month
Chapter/Content
Skills
Sept
Ch. P Prerequisites
Linear Equations, Inequalities
Quadratics
Distances
Midpoints
Circles
Ch. P
Solve linear and quadratic equations
Find distances between points
Find midpoints of line segments
Solve Inequalities
Solve Quadratics using:
Quad formula, factoring, extract roots,
Complete square, graphing
Ch. 1 Functions and Graphs
Oct
Ch. 1, cont.
Ch. 2
Modeling, Complex Numbers
Nov
Dec
Ch. 2, cont.
Ch. 3
Exponential Functions
Logarithmic Functions
Jan
Ch. 4
Trigonometric Functions
Ch. 1
Identify 12 Basic (parent)Functions
Understand transformations of
parent functions
Domain, Range (with/out graphs)
Extrema, Boundedness
Asymptotes: vertical, horizontal,
End behavior asymptotes
Inverse functions
Composite functions
Ch. 2
Modeling:
Linear
Quadratic
Power
High-degree Polys
Polynomial Division (long, synthetic)
Complex numbers
Complex Zeroes
Graphs of Rational Functions
With/out graphing calculators
Solving equations with one variable
Solving inequalities with one variable
Ch. 2 cont.
Exp & Log Modeling
Log Graphs (by hand)
Properties of Logs
Equation solving
Conversion between exp & logs
Degrees and Radians conversion
Trig Functions of Acute Angles
Circulator Functions
Sine and Cosine Graphs
Graphs of Tan, Cot, Sec, Cos
Composite Trig Graphs
Inverse Trig Functions
Solving Trig Problems
Time Needed
(includes assessment)
Ch. P: 6 days
Ch. 1: 18
Ch. 2: 35 days
Ch. 2, cont.
Ch. 3: 15 days
Ch. 4: 20 days
PreCalculus Curriculum Map
Demana, Waits, Foley, Kennedy
Month
Feb
Chapter/Content
Ch. 4, cont.
Trigonometric Functions
Skills
Degrees and Radians conversion
Trig Functions of Acute Angles
Time (includes assessment)
Do NOT allow use of “circle chart” p. 382
Mar
Ch. 5
Circular Functions
Sine and Cosine Graphs
Graphs of Tan, Cot, Sec, Cos
Composite Trig Graphs
Inverse Trig Functions
Solving Trig Problems with/wo calcs
Ch. 5
Trig IDs:
Odd/Even
Pythagorean (derive, don’t memorize)
Solving Trig EQs with/wo calculator
Proving Trig IDs/expressions/equations
With formula sheet:
Sum and Diff IDs
Multiple Angle IDs
Ch 5: 30 days
(should derive from Sum/Diff IDs)
April
May
Ch. 5
Ch. 6.1 – 6.5 (keep 6.6 if time)
Ch. 6
Ch. 7.1 and 7.4 only
Ch. 8.1-8.3
Half-angle IDs
Power-Reducers
Ch. 5, cont.
Law of Sines, Ambiguous Case
Law of Cosines
Applications
Ch. 6
Vectors! (this book is terrible; use other resources)
Algebraic Properties
Dot Product
Angle between Vectors
Physical concept
Forces
Decomposition into perp. Components
Work
Parametrics
Relationship to Vectors
Write linear parametric EQs
Recognize circular parametric EQs
Eliminating Parameter
Linear
Other polys, exponential, etc
Trigonometric
Simulating motion
Polar Coords
Conversion between polar/Cartesian
Equation conversion
Polar Graphing (overview; Fun WS available)
Ch. 6, cont.
DeMoivre’s Theorem, if time (can be dropped)
Ch. 7
Systems of Equations
Partial Fraction Decomposition
Ch 5: cont
Ch 6: 20 days
Ch. 6: cont
Ch. 7: 4 days
Ch. 8: 5 days
PreCalculus Curriculum Map
Demana, Waits, Foley, Kennedy
June
Review and Finals
Ch. 8
Conics: Parabolas, Ellipses, Hyperbolas
Recognize Forms
Graphing
Equations
Eccentricity
Applications to Medicine, Technology, etc
Review and Finals