Mon 8/11
+
Tues 8/12

Function Vocab

• (1.1) Increasing vs Decreasing
• (1.1) Zeros
• (1.2) Rate of Change
• (1.2+1.3) Average Rate of Change
• (1.4) Relative/Local Extrema
• (1.4) Absolute/Global Extrema

Focus on connecting graphical and verbal representations of functions

Lesson Notes: OneNote | PDF | Key

Function Vocab and Rates of Change

Join AP Classroom

Wed 8/13
+
Thur 8/14

(1.1) Concavity

(1.4) Points of Inflection

Relative to day 1, more focus on connecting tabular representations of functions to verbal descriptions.

Lesson Notes: OneNote | PDF | Key

Concavity

Fri 8/15
+
Mon 8/18

(1.6) Polynomial End Behavior

(1.5) n ^th Degree Polynomials have constant n ^th Differences

Lesson Notes: OneNote | PDF | Key

Polynomial Degree and End Behavior

Tues 8/19
+
Wed 8/20

 (1.5) Polynomial Zeros

• Factoring Review
• Fundamental Theorem of Algebra
• Conjugate Root Theorems
• Crossing the x-axis vs. Tangent to the x-axis at zeros
• Between every two distinct real zeros of a nonconstant polynomial function, there must be at least one input-value corresponding with a local minimum or local maximum

Lesson Notes: OneNote | PDF | Key

Polynomial Zeros

Thur 8/21
+
Fri 8/22

(1.5) Even vs Odd Functions

• What these terms mean relating to equations
• What these terms mean relating to graphs
• What these terms mean relating to tables
• How these terms relate to all of the other concepts we've learned so far

Linear Approximation

Lesson Notes: OneNote | PDF | Key

Even/Odd Functions and Linear Approximation

Mon 8/25
+
Tues 8/26

(1.5) Polynomial Inequalities

Lesson Notes: OneNote | PDF | Key

Polynomial Inequalities

Wed 8/27
+
Thur 8/28

Quiz:

• Vocab: Increasing, Decreasing, Absolute/Global Maximum/Minimum, Relative/Local Maximum/Minimum, Extrema, Concave Up, Concave Down, Point of Inflection, Rate of Change, Average Rate of Change
• Polynomial End Behavior
• Zeros of Polynomials
• Even and Odd Functions
• Linear Approximation

(1.7) Rational Function End Behavior

(1.7) Slope of Slant Asymptotes

Lesson Notes: OneNote | PDF | Key

Rational Function End Behavior

Fri 8/29
+
Tues 9/2

(1.10) Rational Function Holes

(1.9) Rational Function Vertical Asymptotes

One Sided Limits

Lesson Notes: OneNote | PDF | Key

Rational Functions and One Sided Limits

Wed 9/3
+
Thur 9/4

(1.8) Rational Function Zeros

(1.11) Long Division + Slant Asymptotes

(B Day: Early Release)

Lesson Notes: OneNote | PDF | Key

Rational Function Zeros and Long Division

Fri 9/5
+
Mon 9/8

(1.8) Rational Inequalities

Lesson Notes: OneNote | PDF | Key

Rational Inequalities

Tues 9/9
+
Wed 9/10

Quiz:

• Asymptotes (horizontal/vertical/slant)
• Limits (end behavior and limits at holes/VAs)

Systems of Equations via Desmos

Other Desmos Skills

Lesson Notes: OneNote | PDF | Key

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Systems of Equations + Other Desmos Skills

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Thur 9/11
+
Fri 9/12

Linear Regression

More Desmos Practice

Lesson Notes: OneNote | PDF

Linear Regression

Mon 9/15
+
Tues 9/16

Test Review Day

(Mr. QED was not there for B Day)

Polynomials and Rational Functions Test Review

Wed 9/17
+
Thur 9/18

(3.2) Radians and Degrees

(3.2) Angle Vocab: Standard position, coterminal, reference angle, terminal ray

Lesson Notes: OneNote | PDF | Key

Fri 9/19
+
Mon 9/22

Unit Test

Wed 9/17
+
Thur 9/18

(3.2) Radians and Degrees

(3.2) Angle Vocab: Standard position, coterminal, reference angle, terminal ray

Lesson Notes: OneNote | PDF | Key

Fri 9/19
+
Mon 9/22

Test: Polynomials and Rational Functions

Wed 9/24
+
Thur 9/25

(3.2+3.3+3.11) Intro to 6 Trig Functions

Calculator Skills

• Radian vs Degree Mode
• Evaluating sin, cos, tan with a calculator
• Evaluating csc, sec, cot with a calculator

(3.2) Points on Circles in Planes

Lesson Notes: OneNote | PDF | Key

Intro to the 6 Trig Functions

Fri 9/26
+
Mon 9/29

Speed Quiz #1

• sin(θ), cos(θ), tan(θ), csc(θ), sec(θ), and cot(θ)
• π/6, π/4, and π/3
• 5 minutes
• 10 questions
• 10 points
• Speed Quiz 1 Practice Quizzes ( answer key )
• Website for practicing here

Evaluating Trig Functions of Obtuse and Negative Angles

Lesson Notes: OneNote | PDF | Key

Evaluating Trig Functions

Tues 9/30
+
Wed 10/1

Speed Quiz #2

• Everything From Last Quiz + Quadrantal Angles: 0, π/2, π, 3π/2, and 2π
• 5 minutes
• 10 questions
• 10 points
• Here's a table of all the ratios tested on this quiz (blank version here)
• Speed Quiz 2 Practice Quizzes ( answer key )
• Website for practicing here

(3.10) Basic Solving Trig Equations

Lesson Notes: OneNote | PDF | Key

Solving Basic Trig Equations

Fri 10/3
+
Mon 10/6

Quiz (not speed)

• Vocab: Coterminal, Standard Position, Reference Angle, Terminal Ray
• What is a radian? s=θr
• Points on Circles in Planes
• Tangent is the slope of the terminal ray
• Evaluating trig functions of obtuse and negative angles

(3.10+3.11) Solving for ALL solutions

Lesson Notes: OneNote | PDF | Key

Finding ALL Solutions to Trig Equations

Tues 10/7
+
Wed 10/8

Speed Quiz #3

• All six trig functions
• Quadrantal Angles
• Any angle that has a "special" angle as a reference angle (including negative and obtuse angles)
• 5 minutes
• 10 questions
• 10 points
• Speed Quiz 3 Practice Quizzes ( answer key )
• Website for Practicing Here

(3.12) Pythagorean Identities

(3.10+3.12) Quadratic Trig Equations

Lesson Notes: OneNote | PDF | Key

Pythagorean Identities

Thur 10/9
+
Fri 10/10

(3.10+3.11+3.12) Solving with Basic Identities

(early release for B Day + Mr. QED absent)

Lesson Notes: OneNote | PDF | Key

Basic Identities (A day)

Basic Identities (B day)

Tues 10/14
+
Wed 10/15

(3.10+3.11+3.12) More Solving Practice

Solving Equations Practice

Optional: Extra Solving Practice

Thur 10/16
+
Fri 10/17

Quiz

• Solving Trig Equations
  • All solutions vs just solutions in an interval
  • What does +2 π k or + π k or anything like that mean?
  • Equations that require factoring
  • Equations that require identities
• Identities
  • 3 Pythagorean
  • Reciprocal
  • Quotient

Begin Review for Test

Start the Test Review

Tues 10/21
+
Wed 10/22

Review for Test

Finish the Test Review

Thur 10/23
+
Fri 10/24

Test: Trigonometric Functions

Mon 10/27
+
Tues 10/28

(1.12) Transformation of Functions

• Translations, dilations, and reflections
• The six transformations summed up
• Given a point, find the transformed point
• Given a list of transformations, write the equation
• Given an equation, write the transformations

Today is review from Alg II other than:

• The wording of the questions may be different in AP Precalculus
• The order you do transformations matters sometimes. Do one transformation at a time to make sure you are doing it correctly.

Lesson Notes: OneNote | PDF | Key

Wed 10/29
+
Thur 10/30

(3.1) Periodic Function Vocab

• Periodic
• Period
• Amplitude
• Frequency

Lesson Notes: OneNote | PDF | Key

Fri 10/31
+
Mon 11/3

(3.5, 3.6) Graphs of Sine and Cosine

• Given an equation, find the graph
• Given a graph, find an equation
• It is important that you can do both of the above, but if I had to choose only one for you to know, it's the second bullet point. Given a sinusoidal graph, you need to be able to find an equation.

Notes to Build Intuition

Lesson Notes: OneNote | PDF | Key

Tues 11/4
+
Wed 11/5

(3.6, 3.7) Sinusoidal Graphs + Context

FRQ 3A

• Instagram reel (i.e. short and to the point) related to this
• Another Instagram reel related to this
• If you want to find College Board's video about this, the relevant video to watch in AP Classroom can be found by clicking "Course Guide" -> "Review" -> "Practice Session 7". (this is correct as of October 27th, but College Board has been redoing videos, so it's possible they'll rename it/move it)

It's hard to copy the long word problems down, so I printed some notes

Lesson Notes: OneNote | PDF | Key

Thur 11/6
+
Fri 11/7

(Early Release Day for A day)

Quiz

• Vocab: Period, amplitude, frequency
• Transformations
• Graphing sine and cosine
• Topics from Unit 1 may make an appearance in questions about transformations or questions about sinusoidal graphs (increasing, decreasing, rate of change, end behavior, point of inflection, and more)
• This quiz can give you a context and ask about period, amplitude, or frequency. This quiz will not give you a context and ask for the equation that models it using sine or cosine.

FRQ 3 Practice

Mon 11/10
+
Wed 11/12

(3.8, 3.11.A) Graphs of Tangent and Cotangent

• Find the period
• Find the asymptotes
• General Shape
• Points of Inflection
• Know what a, b, c, and d control in $f\left(x\right)=\atan\left(b\left(x+c\right)\right)+d$

(3.11.A) Graph of Secant and Cosecant

• Domain
• Range
• Asymptotes

Lesson Notes: OneNote | PDF | Key

Thur 11/13
+
Fri 11/14

(3.9) Inverse Trig Functions

• Evaluating
• Solving Trig Equations
• Solving Inverse Trig Equations

Lesson Notes: OneNote | PDF | Key

Mon 11/17
+
Tues 11/18

(3.10, 3.12) Solving Trig Inequalities (not on the quiz next class, but certainly reviews skills that are on the quiz)

• Number line
• Thinking about it graphically
• Some calculator skills

Lesson Notes: OneNote | PDF | Key

Wed 11/19
+
Thur 11/20

(2.7) Composition of Functions

Desmos Review

Quiz

• FRQ 3
• Graphs of the Six Trig Functions
• Inverse Trig
  • Solving Trig Equations with Inverse Trig
  • Evaluating Inverse Trig
  • Solving Inverse Trig Equations
• Practice Quiz

Lesson Notes: OneNote | PDF | Key

Fri 11/21

(2.8) Inverse Functions

Desmos Review

Lesson Notes: OneNote | PDF | Key

🍂🦃👏🌽Thanksgiving🍽️🥕🥔🥧🍁

Mon 12/1

(2.8) Inverse Functions

Desmos Review

Lesson Notes: OneNote | PDF | Key

Tues 12/2
+
Wed 12/3

(3.7) Sinusoidal Regression

Desmos Review

Review for Test

Lesson Notes: OneNote | PDF | Key

Thur 12/4
+
Fri 12/5

Review for Test

Mon 12/8
+
Tues 12/9

Test: Periodic Graphs and Transformations

Wed 12/10
+
Thur 12/11

Quiz: Desmos

• Finding Max/Min/Zeros/Intersections
• Solving Inequalities
• Regression
• Trig Equations

Review for Midterm

Fri 12/12
+
Mon 12/15

Review for Midterm

Midterm

Tues 1/6
+
Wed 1/7

(2.1) Change in Arithmetic and Geometric Sequences

Lesson Notes: OneNote | PDF | Key

Thur 1/8
+
Fri 1/9

(2.2) Thinking of linear and exponential functions as analogs of arithmetic and geometric sequences

(2.3) How to tell if a table of values is modeled well an exponential function

(2.3) Graphs of Exponential Functions

Lesson Notes: OneNote | PDF | Key

Mon 1/12
+
Tues 1/13

(2.3) Exponential Functions

(2.4) Exponential Function Manipulation

Review Exponent Properties

Lesson Notes: OneNote | PDF | Key

Wed 1/14
+
Thur 1/15

(2.4) Exponential Function Manipulation

(2.5) Exponential Functions in Context and Data Modeling

Lesson Notes: OneNote | PDF | Key

Fri 1/16
+
Tues 1/20

(2.5) Exponential Regression

Quiz

• Arithmetic and Geometric Sequences
• Linear and Exponential Functions
• Exponent Properties
• Exponential Function Graphs
• Exponential Function Tables

Lesson Notes: OneNote | PDF | Key

Wed 1/21
+
Thur 1/22

(2.6) Competing Model Validation

Lesson Notes: OneNote | PDF | Key

Fri 1/23
+
Mon 1/26

FRQ 2 Practice Day

Lesson Notes: OneNote | PDF | Key

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Tues 1/27
+
Wed 1/28

Review for Test

Thur 1/29
+
Fri 1/30

Test: Exponential Functions

Tues 2/3
+
Wed 2/4

(2.9) Evaluating Logs

(2.12) Log Properties

(2.9) Logarithmic Scales

Lesson Notes: OneNote | PDF | Key

Thur 2/5
+
Fri 2/6

(2.10) Inverses of Exponential Functions

(2.12) More Log Properties

• Vertical Translation = Horizontal Dilation
• Vertical Dilation = Exponentiating Argument
• Change of base can reveal vertical dilations

(2.10/2.11) Recognizing logarithmic functions from a table of values

Lesson Notes: OneNote | PDF | Key

Mon 2/9
+
Tues 2/10

(2.11) Graphs of Logarithmic Functions

• Asymptotes
• Domain
• Range
• Increasing vs Decreasing
• Concave Up vs Concave Down
• End Behavior

Lesson Notes: OneNote | PDF | Key

Wed 2/11
+
Thur 2/12

(2.13) Solving Exponential Equations

(2.13) Inverting Exponential Functions

Lesson Notes: OneNote | PDF | Key

Tues 2/17
+
Wed 2/18

(2.13) Solving Log Equations

Quiz

• Rewriting logs using log properties
• Log Function Graphs
  • End Behavior (be able to write a limit representing this)
  • Asymptotes (be able to write a limit representing this)
  • Increasing, Decreasing, Concave Up, Concave Down, Positive Rate of Change, Negative Rate of Change, Increasing Rate of Change, Decreasing Rate of Change
• Looking at a table of values and identifying the type of function (e.g. linear, quadratic, cubic, exponential, logarithmic)

Lesson Notes: OneNote | PDF | Key

Thur 2/19
+
Fri 2/20

(2.13) Inverting Log Functions

(2.13) Exponential/Log Inequalities

Lesson Notes: OneNote | PDF | Key

Mon 2/23
+
Tues 2/24

(2.15) Semi-log Plots

Lesson Notes: OneNote | PDF | Key

Wed 2/25
+
Thur 2/26

Quiz

• Solving Log Equations
• Solving Log Inequalities
• Solving Exponential Equations
• Solving Exponential Inequalities
• Inverses of Log/Exponential Functions

(2.14) Log Regression

FRQ #2 Practice

Lesson Notes: OneNote | PDF | Key

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Note: FRQ 2 changed beginning with the 2026–27 school year. This resource uses the previous format.

Fri 2/27
+
Mon 3/2

FRQ #1 Practice

FRQ #2 Practice

Tues 3/3
+
Wed 3/4

FRQ #4 Practice

Thur 3/5
+
Fri 3/6

Test Review

Mon 3/9
+
Tues 3/10

Test: Logarithmic Functions

• 6 points will come from an FRQ 1 style question
• 6 points will come from an FRQ 2 style question

Wed 3/11
+
Thur 3/12

(3.12) Identities

• Review Reciprocal Identities
• Review Quotient Identities
• Review Pythagorean Identities
• Angle Addition/Subtraction for Sine and Cosine
• Double Angle for Sine and Cosine

Lesson Notes: OneNote | PDF | Key

Mon 3/23
+
Tues 3/24

(3.10) Review the general approach to solving trig equations

(3.10) Review how we write +2 π k sometimes when solving trig equations

(3.9) Review inverse trig equations

(3.12) Combine the new identities from last class with solving trig equations

Lesson Notes: OneNote | PDF | Key

Wed 3/25
+
Thur 3/26

(3.10+3.12) Solving "Multiple Angle" Trig Equations

Lesson Notes: OneNote | PDF | Key

Fri 3/27
+
Mon 3/30

FRQ #4

Tues 3/31

A Day: (3.13) Polar Coordinates

Lesson Notes: OneNote | PDF | Key

Wed 4/1

B Day 7th and 8th Period: More FRQ 4 Practice

Day 1 Equivalent Representations of Trig Functions (+Review Basics).pdf

Thur 4/2

(Early Release Day = Shorter 2π/b)

A Day: More FRQ 4 Practice

Tues 4/7

B Day: (3.13) Polar Coordinates

Lesson Notes: OneNote | PDF | Key

Wed 4/8
+
Thur 4/9

Quiz: Advanced Trig

• Identities/Equivalent Trig Expressions
• Solving Trig Equations

(3.14) Polar Graphs

Lesson Notes: OneNote | PDF | Key

Fri 4/10
+
Mon 4/13

(3.14) More Polar Graphs
(A Day: Mr. QED not in class)

Tues 4/14
+
Wed 4/15

(1.11.C) Binomial Expansion Theorem

(3.15) Polar Average Rate of Change

Lesson Notes: OneNote | PDF | Key

Thur 4/16
+
Fri 4/17

Practice Multiple Choice (No Calculator/Desmos)

Mon 4/20
+
Tues 4/21

Quiz

• Polar
• Binomial Expansion Theorem

Practice Multiple Choice (With Calculator/Desmos)

More Practice FRQs 1-2
+
Peer Review HW From Last Class

Wed 4/22
+
Thur 4/23

Go over both sections of practice multiple choice

Review common errors seen on the last two homeworks

Fri 4/24
+
Mon 4/27

Practice FRQs #1-4

Tues 4/28
+
Wed 4/29

Group Grading of Last Class's FRQs

Practice Multiple Choice (with calculator/Desmos)

Thur 4/30
+
Fri 5/1

Practice Multiple Choice (without calculator/Desmos)

Mon 5/4
+
Tues 5/5

FRQ 1 and FRQ 2 Practice

Wed 5/6
+
Thur 5/7

FRQ 3 and FRQ 4 Practice

Fri 5/8
+
Mon 5/11

Last Minute Review and Tips

Tues 5/12

AP Exam!