AP PreCalculus
Tentative Upcoming Test or Quiz Dates:
TBA: TBA
Assignments Legend:
Tentative Upcoming Assignment
Official Assignment
Optional Assignment
Semester 1
Unit 1: Things You Should Know by Now (click to see old units)
Day 1: Algebra 1 (45)
Please send me a quick email with your name and any preferred pronouns if you want me to have them.
Read and Do 0.1: #51-56
Solutions
0.3: #1-4, 11-28
Solutions
0.4: #15-20
Solutions
Day 2: Solving Equations
Course Description for Students and Parents
0.5: #13-18
Solutions
0.5: #19-24, 39-44, 47-56
Solutions
Day 3: Complex Numbers (45)
FREE Test point on Synergy
0.6: #5-16, 27, 37-44
Solutions
Day 4: Systems of Equations
0.7: #5-12, 19-26, 35-38, 43-51
Solutions
0.8: #1-12, 27-30
Solutions
Day 5: Requests and Review
Get Caught Up
Day 6: TYSKBN Test (45)
Unit 2: Functions
Day 7: Solving Equations with a Calculator, Domain and Range
1.1: #29-37 odd, 41-45 (use a calculator), 48, 55-56, 58
Solutions
1.2: #19-28
Solutions
Domain and Range Worksheet
Solutions
Day 8: Monotonicity, Concavity and Extrema
1.2: #29-32, 35-39 odd, 41-46, 53-66, 89, 90, 91
Solutions
Day 9: Workday and Requests (45)
Day 10: Parent Functions
1.3: #1-28, 45-50, 61, 62
Solutions
Day 11: Composition
1.4: #1-18, 21-39 odd
Solutions
Day 12: Workday and Requests (45)
Day 13: Piecewise Functions
1.4: #55-62, 66, 67
Solutions
Piecewise Functions Worksheet
Solutions
Day 14: Inverse Functions
1.5: #19-32, 37-42, 49-52
Solutions
Day 15: Intro to Parametric Equations (45)
1.5: #11-18
Solutions
Parametric Equations Worksheet
Solutions
Day 16: More on Parametric Equations and Inverse
1.5: #11-18
Solutions
Parametric Equations Worksheet
Solutions
Day 17: Transformations of Relations
Transformations Worksheet
Solutions
Day 18: Transformations of Functions
1.6: #11-17 odd, 27-30, 31-34, 53-56, 59-61, 70-73
Solutions
Day 19: Buffer Day
Day 20: Final Requests (45)
Day 21: FUNctions Test
Unit 3: Rational Polynomial Functions
Day 22: Division and Other Fun Topics from Elementary School (45)
Be prepared to factor ANY quadratic function. Create an infinite number of problems to practice, checking your answer each time by multiplying the resulting linear factors.
Day 23: Finish Day 22 (60)
Day 24: Start Factoring Polynomials
Factoring Worksheet #3 (#1 ONLY)
Try to create and solve an infinite number of problems like #1
"Finish" the synthetic division table for #2
Day 25: More Factoring Polynomials (45)
Factoring Worksheet #3 (NOW do #3 and #4)
Factoring Worksheet #3 Answers (double root explained in problem 2, APRR explained in #3)
Video 2: Using APRR to Finish Problem #3 from Factoring Worksheet #3 if you need more APRR help.
Start Factoring Worksheet #4
Day 26: Even MORE on Factoring Polynomials
Create a polynomial to bring to class to share (part of FWS#4, but be sure to do AT LEAST this problem)
Create and solve an infinite number of problems like those found in Factoring Worksheet #4
DON'T Forget all of this over Spring Break!!!
Day 27: Workday: Practice Factoring Polynomials
Practice an infinite number of problems. Be able to do a problem in 15 min or less
Day 28: Factoring Polynomials Quiz
No Homework!
Day 29: An Intuitive Look at Limits, RPF Day 1
A journey to Graham's Number part 1 (rated PG13)
A journey to Graham's Number part 2 (rated PG13)
Do a few of Evaluating Limits Worksheet
Day 30: RPF Day 1.5 (45)
Day 31: RPF Day 2
Day 32: A Crucial Day that you are happy you didn't miss: OA's
Day 33: Going Backwards (#23 and #24)
Create and complete an infinite number of problems like those found in RPF Homework 1-24
Day 34: Workday
Day 35: RPF Test
Unit 4: Review of Exponential and Logarithmic Functions
Day 36: Working with Exponents again (45)
Day 37: More with Exponents
3.2: 31-40, 69, 70, 73
Solutions
Day 38: Logarithms
Function Homework 6: Infinite number of y = a * b^x (given x find y, given y find x)
Function Homework 7: Infinite number of y = a log(b) x (given x find y, given y find x)
Day 39: More on Logarithms (45)
3.4: #11-33 odd, 77-78
Solutions
Day 40: Even MORE on Logarithms
3.5: #11-37 odd, 67-70
Day 41: Final Requests (45) Quiz on Exponents and Logarithms (45)
Don't Forget Everything over Winter Break!!!
Unit 5: Review of Exponential and Logarithmic Functions
Day 36: Working with Exponents again (45)
Day 37: More with Exponents
3.2: 31-40, 69, 70. 73
Solutions
Day 38: Logarithms
Function Homework 6: Infinite number of y = a * b^x (given x find y, given y find x)
Function Homework 7: Infinite number of y = a log(b) x (given x find y, given y find x)
Day 39: More on Logarithms (45)
3.4: #11-33 odd, 77-78
Solutions
Day 40: Even MORE on Logarithms
3.5: #11-37 odd, 67-70
Day 41: Final Requests (45) Quiz on Exponents and Logarithms (45)
Don't Forget Everything over Winter Break!!!
Unit 6: Basic Trigonometry
Day 42: Some Triangles are Special (45)
Finish special triangle "proofs"
Day 43: Right Triangle Definitions, Solving Right Triangles, Navigation, Workday
Trigonometry Story Problems (by Day 3)
4.2: 6, 9, 49-57 odd, 61, 62,
Day 44: Standard Position, New Definitions and Exact Values
Finish the chart skipping the quadrantal rows and the "r" column
Start choosing random values from the chart so far to recalculate independently for extra practice
Day 45: Quadrantals (45)
Finish the chart except for the "r" column
Master the chart, focusing on ACCURACY
Play the game to practice exact values, focus on SPEED OF CALCULATION
Practice solving each problem an infinite number of times. Sleep is optional
DON'T underestimate how important this skill is for the rest of your mathematical career. It's like memorizing your times tables in 3rd grade
Day 46: More Practice (45) Exact Values Accuracy Quiz (CAN'T RETAKE!) (45)
Practice an infinite number of exact value problems, focusing on SPEED
Find another student in the class and ask them if they've completed the second to last assignment for today yet
Day 47: Radians
Finish the "radian" column on your table of exact values
4.2: 19-24, 31, 41-48, 69, 70
4.3: 11-22, 27-30, 35-58,
Practice an infinite number of exact value problems, focusing on SPEED
Day 48: The Tournament, More Worktime on Day 7, RETAKABLE Quiz on Exact Values
4.2: 19-24, 31, 41-48, 69, 70
4.3: 11-22, 27-30, 35-58,
Day 49: Requests
Study for Trig Test 1
HW Portfolios due next time
Day 50: Trig Test 1 part 1 (45)
Day 51: Trig Test 1 part 2 (75)
Semester 2
Unit 7: Graphs of Trigonometric Functions
4.4
4.5
skip 4.6???
Day 1: Intro to Graphing and Parent Graphs (45)
Finish 2 periods of high quality graphs for all y = sin x, y = cos x and y = tan x
Look at Today's Notes for copies and instructions of how to draw "Test Quality" graphs
In case I went too fast, here are videos of the "Test Quality" graph lesson
Day 2: Begin Transformations
Practice "Test Quality" graphs for all 6 functions, submit for review if you wish sometime prior to Trig Test 2
Do the final 4 problems mentioned in class. Check your answers in the class notes.
Practice an infinite number of problems with given A, B, and D. A and B must stay positive for now
Day 3: More on Transformations
Redo all of the class examples without looking at your notes.
Practice an infinite number of problems, don't forget to check your answers
Bring some of your favorite problems to share on Day 14
Day 4: Workday (45)
Host or Attend a Math Party
Do and then Redo the 10 problems in today's class Notes
Do an infinite number of transformation problems, shoot for 5 minutes per problem on average
Study
Day 5: Trig Test 2
Decompress... Unit 3 is WAY more fun
Unit 8: Inverse
Day: Mr. B's Rant about Inverse
Revisit every topic in math you've ever learned and decide if you've memorized it, or if you understand it and if you are ok with that.
Day 6: Inverse Trigonometric Relations and Functions
Rework In-class examples (see notes)
Day 7: Bonus Workday on Inverse
4.7: #1-31 odd, 60-63
Day 8: Buffer Day
Day 9: Quiz on Inverse (45)
Unit 9: Trigonometric Identities
5.1
5.2
5.3
Day 10: First Identities
Redo the homework from Day 26
old book 3.2 Evens
If you plan to recapture points, be sure to bring your homework portfolio next class period
Day 11: Workday and Requests
Day 12: The Sum and Difference Identities
3.3: 1-13 odd
3.4: 1-13 odd
3.5: 1-17 odd
Day 13: Career Day/Workday (45)
DON'T DO THE HOMEWORK AS NORMAL... do a few problems from each section and cycle back through continuously
Day 14: Double and Half Angle Identities
3.6: 7-9, 13, 18, 22, 24, 28, 29, 33, 34
3.7: 4, 6, 13, 15, 45, 49, 50
Consider doing the evens on 3.3, 3.4 and 3.5 even though they aren't part of the portfolio
Redo each problem if you have time... and you do... sleep is optional.
Day 15: Requests, Retakable Quiz 2 Worth 10 points
3.2 all
3.3: 1-13 odd (evens too?? optional...)
3.4: 1-13 odd (evens too?? optional...)
3.5: 1-17 odd (evens too?? optional...)
3.6: 7-9, 13, 18, 22, 24, 28, 29, 33, 34 (feel free to do the others if you want)
3.7: 4, 6, 13, 15, 45, 49, 50 (feel free to do the others if you want)
Day 16: Final Workday
Redo all the HW from Day 34
Be sure to get your notes for Trig Test 4 signed off before the test (if you want to use notes)
Day 36 is the last chance to decide if you want to take the class PASS/NO PASS. Decision must be made before the test.
Day 17: Buffer Day (45)
Day 18: Buffer Day
Day 19: Trig Test 4
Maybe go see a movie?
Enjoy Spring Break
Day 20: Solving Trigonometric Equations (45)
Practice an infinite number of problems like those from class (page 2 of Day 40's notes)
Old Book p. 229: 1-38 all (on 7-38 solve for ?? 0 <= x < 3pi)
Utilize Mr. B's lunch periods. See online help videos too! We won't have a lot of in-class time for requests because of the Trig Test 4 Retake
Day 21: Finish Day 20
Day 22: Workday, Requests
p. 229: 1-38 all (on 7-38 solve for ?????? 0 <= x < 3pi)
Practice an infinite number of problems like those from class (page 2 of Day 40's notes)
Utilize Mr. B's lunch periods. See online help videos too! We won't have a lot of in-class time for requests because of the Trig Test 4 Retake
Practice an infinite number of problems like those from class (page 2 of Day 34's notes)
Smarter Balanced Testing is tentatively scheduled for Juniors during the week of April 22. Opt-out forms are available in the career center, but please plan ahead if that's your choice
Day 23: Final Requests (45)
Day 24: Solving Trigonometric Equations Quiz
Smarter Balanced Testing is tentatively scheduled for Juniors during the week of April 22. Opt-out forms are available in the career center, but please plan ahead if that's your choice
Unit 11: Trigonometric Applications
5.4
5.5 ish???
5.6 ish
Day 25: The Law of Sines and the Law of Cosines
4.1: 1-9 odd
4.2: 1-15 odd
Day 26: Start of the Solving Triangles Lecture (45)
4.1: 1-9 odd
4.2: 1-15 odd
Day 27: Finish the Solving Triangles Lecture
Try to understand why the LOS is dangerous while the LOC is totally safe
4.3: 29-38ish
Day 28: Polar Functions (45)
5.5
Day 29: More Polar Functions (60)
Day 30: More Polar Functions
5.6
Day 31: Final Requests (45)
Day 32: Trig Applications Test
Unit 12: AP Exam Review
Need to work in regression (residual)
Semi-log plots
geo and arithmatic sequences
Day 33: Multiple choice no calcs
Day 34: FRQ with calc (45)
Day 35: Multiple choice with calc
Day 36: FRQ no calc
Day 37: AP TEST DAY?????
Unit 9: Intro to Vector Space
add in a day or so of adding and subtracting vectors from the old Trig Test 3
Day : Start Vectors (Polar to Polar Only) (45)
Rework Class Examples
Try to create and solve some of your own
Day : Vectors (60)
Do an infinite number of these:
Create a vector addition problem
Draw a diagram of your problem
Solve the problem using Polar to Polar methods
Solve the problem using Polar to Cartesian to Polar methods
Check that your answer is:
The same with both methods
A reasonable match to your diagram
Give your problem to someone else and see if their answer is the same as yours
Redo all of the homework from Day 19
Day 37: AP TEST DAY, Thoughts about the test, Introduction to Vectors (45)
Sleep it off
Day 38: Start Vectors
Day 39: Algebra 1 in Vector Form, Cartesian Equations and Vector Equations
Day 40: Intersection of Lines (45)
Day 41: Finish Day 40, 2D Vector Workday (RETAKE SLGG TEST?)
Master ALL of the 2D Worksheets
Day 42: 3D Vector Basics, Equations of Planes (seniors skip day?)
Be able to find the norm of a 3D vector
Be able to add, subtract, and compute the dot product of any two 3D vectors
Practice calculating the cross product of two 3D vectors. Do an infinite number of these
Practice BIG PROBLEM #1 an infinite number of times (given 3 points, find the equation of the plane that contains them). Be sure to VERIFY
Day 43: BIG PROBLEM #1, Big Problem #2
Practice calculating the cross product of two 3D vectors. Do an infinite number of these
Practice BIG PROBLEM #1 an infinite number of times (given 3 points, find the equation of the plane that contains them). Be sure to VERIFY
Practice Big Problem #2 an infinite number of times (given 2 planes, find the line of intersection). Be sure to VERIFY
Day 44: 3D Lines, Distance, the rest of the stuff, Doing the Square Problem
Practice Big Problem #1 an infinite number of times
Practice Big Problem #2 an infinite number of times
Day 45: 3D Workday, CLASS PICTURE DAY (45)
Finish all 3D worksheets (skip the "square" problem this year?)
Practice Big Problem #1 an infinite number of times
Practice Big Problem #2 an infinite number of times
Day 46: Vector Exam
YAY!!! NO HOMEWORK!!! For seniors, maybe never again??
Day 47: Books and Calculators Returned, Important Vital Movie Day #1
Day 48: Important Vital Movie Day #2 (45)
Day 49: Important Vital Movie Day #3
Day 50: Important Vital Movie Day #4:
Day 51: Last Day (75)
AP College Board AP Precalculus Official Course Description