Ms.Hu's AP PreCalculus Outline 2026-27

Course Syllabus

Pacing Calendar

Course and Exam Description(CED)

Q1

Annotated Powerpoint

Lesson/ Focus & CED Covered	Class Note	Additional Practice Problems
Course Syllabus
1.1 Change in Tandem 1.1A: Describe how the input and output values of a function vary together by comparing function values. 1.1B: Construct a graph representing two quantities that vary with respect to each other in a contextual scenario. Typo on page 8: the 4th section in the graphic organizer should be decreasing and concave down, not increasing and concave down	1a note packet Annotated PowerPoint (Note Key)	Worksheet Key
1.2-3 : Rates of Change 1.2.A: Compare the rates of change at two points using average rates of change near the points. 1.2.B: Describe how two quantities vary together at different points and over different intervals of a function. 1.3.A Determine the average rates of change for sequences and functions, including linear, quadratic, and other function types.  1.3.B Determine the change in the average rates of change for linear, quadratic, and other function types.		Worksheet Key
1.4 Polynomial Functions and Rates of Change  1.4.A Identify key characteristics of polynomial functions related to rates of change.  Typo on page 12: The title is Rate of Change in Polynomial Functions, not Linear and Quadratic Functions.		Worksheet Key
1.5 A Polynomial Functions and  Complex Zeros 1.5.A Identify key characteristics of a polynomial function related to its zeros when suitable factorizations are available or with technology.		Worksheet Key
1.5 B Polynomial Functions and  Complex Zeros 1.5.B Determine if a polynomial function is even or odd.  Comprehension Check		Worksheet Key
1.6: Polynomial Functions and End Behavior 1.6.A Describe end behaviors of polynomial functions		Worksheet Key
1st Nine Weeks Quiz Review Quiz Key
1B Rational Functions
1.7A Rational Functions and End Behavior 1.7.A Describe end behaviors of rational functions.	1B Slides	Page 4-5 Key
1.8: Rational Functions and Zeros 1.8.A Determine the zeros of rational functions		Page 9-10 Key
1.9-1.10: Rational Functions -Vertical Asymptotes and Holes 1.9.A Determine vertical asymptotes of rational functions. 1.10.A Determine holes in graphs of rational functions		Page 14 Key
1.11 Equivalent Expressions and Binomial Theorem Part 1 1.11.A Rewrite polynomial and rational expressions in equivalent forms 1.11.B Determine the quotient of two polynomials using long division		Page 19 Key
Comprehension Check -Homework Mini Quiz
1.11 Equivalent Expressions and Binomial Theorem Part 2 1.11.C Rewrite the repeated product of binomials using the binomial theorem Typo on assignment tracker : Page 20（not 23）. Additional practice page 21(not 24 )		Page 24 key
1.12 Transformations of Functions 1.12.A Construct a function that is an additive/ multiplicative transformation of another function		Page 27 key
1.13 Function Model Selection and Assumption Articulation 1.14 Function Model Construction and Application 1.13.A Identify an appropriate function type to construct a function model for a given scenario. 1.13.B Describe assumptions and restrictions related to building a function model. 1.14.A Construct a linear, polynomial, or related piecewise-defined function model. 1.14.B Construct a rational function model based on a context. 1.14.C Apply a function model to answer questions about a data set or contextual scenario.		Page 32-33 key Extra practice: key
End of Unit 1 Review Section 1: Rates of Change Section 2: Polynomial & Rational Functions Section 3: Miscellaneous Topics	Blank Copy	U 1 Review Key
QUARTER 1 AP MASTERY ASSESSMENT (District )	A Day: 10/14, Wednesday B Day: 10/6, Tuesday

Q2

 Powerpoint

Lesson	Class Note	Additional Practice Problems
2.1 Change in Arithmetic and Geometric Sequences 2.1.A Express arithmetic sequences found in mathematical and contextual scenarios as functions of the whole numbers. 2.1.B Express geometric sequences found in mathematical and contextual scenarios as functions of the whole numbers.
2.2 Change in Linear and Exponential Functions 2.2.A Construct functions of the real numbers that are comparable to arithmetic and geometric sequences.  2.2.B Describe similarities and differences between linear and exponential functions.
2.3 Exponential Functions 2.3.A Identify key characteristics of exponential functions.
2.4 Exponential Function Manipulation 2.4.A Rewrite exponential expressions in equivalent forms.
2.5 Exponential Function Context and Data Modeling 2.5.A Construct a model for situations involving proportional output values over equal-length input-value intervals.  2.5.B Apply exponential models to answer questions about a data set or contextual scenario.
2.6 Competing Function Model Validation 2.6.A Construct linear, quadratic, and exponential models based on a data set.  2.6.B Validate a model constructed from a data set.
2.7 Composition of Functions 2.7.A Evaluate the composition of two or more functions for given values.  2.7.B Construct a representation of the composition of two or more functions.  2.7.C Rewrite a given function as a composition of two or more functions.
2.8 Inverse Functions 2.8.A Determine the input-output pairs of the inverse of a function. 2.8.B Determine the inverse of a function on an invertible domain.
2.9 Logarithmic Expressions 2.9.A Evaluate logarithmic expressions.
2.10 Inverses of Exponential Functions 2.10.A Construct representations of the inverse of an exponential function with an initial value of 1.
2.11 Logarithmic Functions 2.11.A Identify key characteristics of logarithmic functions.
2.12 Logarithmic Function Manipulation 2.12.A Rewrite logarithmic expressions in equivalent forms.
2.13 Exponential and Logarithmic Equations and Inequalities 2.13.A Solve exponential and logarithmic equations and inequalities.  2.13.B Construct the inverse function for exponential and logarithmic functions.
2.14 Logarithmic Function Context and Data Modeling 2.14.A Construct a logarithmic function model.
2.15 Semi-log Plots 2.15.A Determine if an exponential model is appropriate by examining a semi-log plot of a data set.  2.15.B Construct the linearization of exponential data.

Q3

 Powerpoint

Lesson	Class Note	Additional Practice Problems
3.1 Periodic Phenomena 3.1.A Construct graphs of periodic relationships based on verbal representations.  3.1.B Describe key characteristics of a periodic function based on a verbal representation.	Class Note
3.2 Sine, Cosine, and Tangent 3.2.A Determine the sine, cosine, and tangent of an angle using the unit circle.	Class Note
3.3 Sine and Cosine Function Values 3.3.A Determine coordinates of points on a circle centered at the origin.	Class Note
3.4 Sine and Cosine Function Graphs 3.4.A Construct representations of the sine and cosine functions using the unit circle.	Class Note
3.5 Sinusoidal Functions 3.5.A Identify key characteristics of the sine and cosine functions.	Class Note
3.6 Sinusoidal Function Transformations 3.6.A Identify the amplitude, vertical shift, period, and phase shift of a sinusoidal function.	Class Note
3.7 Sinusoidal Function Context and Data Modeling 3.7.A Construct sinusoidal function models of periodic phenomena.
3.8 The Tangent Function 3.8.A Construct representations of the tangent function using the unit circle.  3.8.B Describe key characteristics of the tangent function.  3.8.C Describe additive and multiplicative transformations involving the tangent function.
3.9 Inverse Trigonometric Functions 3.9.A Construct analytical and graphical representations of the inverse of the sine, cosine, and tangent functions over a restricted domain.
3.10 Trigonometric Equations and Inequalities 3.10.A Solve equations and inequalities involving trigonometric functions.
3.11 The Secant, Cosecant, and Cotangent Functions 3.11.A Identify key characteristics of functions that involve quotients of the sine and cosine functions.
3.12 Equivalent Representations of Trigonometric Functions 3.12.A Rewrite trigonometric expressions in equivalent forms with the Pythagorean identity.  3.12.B Rewrite trigonometric expressions in equivalent forms with sine and cosine sum identities.  3.12.C Solve equations using equivalent analytic representations of trigonometric functions.
3.13 Trigonometry and Polar Coordinates 3.13.A Determine the location of a point in the plane using both rectangular and polar coordinates.
3.14 Polar Function Graphs 3.14.A Construct graphs of polar functions.
3.15 Rates of Change in Polar Functions 3.15.A Describe characteristics of the graph of a polar function.

Q4

 Powerpoint

Lesson	Focus & TEKS Covered	Class Note	Additional Practice Problems
		Class Note	Worksheet Key
		Class Note	Worksheet Key
		Class Note	Worksheet Key
		Class Note	Worksheet Key
		Class Note	Worksheet Key
		Class Note	Worksheet