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Ms.Hu's AP PreCalculus Outline 2026-27

Writer: Shuaiqi Hu
Shuaiqi Hu
Aug 10
3 min read

Updated: 3 days ago

Q1

Lesson/ Focus & CED Covered

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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

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. 

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.

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.

Comprehension Check next class!

1.5 B Polynomial Functions and  Complex Zeros

  • 1.5.B Determine if a polynomial function is even or odd. 

Comprehension Check

1.6: Polynomial Functions and End Behavior

  • 1.6.A Describe end behaviors of polynomial functions

1st Nine Weeks Quiz

1B Rational Functions

1.7A Rational Functions and End Behavior

  • 1.7.A Describe end behaviors of rational functions.


Page 4-5

Key

1.8: Rational Functions and Zeros

  • 1.8.A Determine the zeros of rational functions

Page 9-10

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

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

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


Page 24

1.12 Transformations of Functions

  • 1.12.A Construct a function that is an additive/ multiplicative transformation of another function

Page 27

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

Q2

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Q3

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Q4

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