Precalculus
(2023-2024)

Class Recording Calendar 2023-2024

Precal Agendas

Interested in competing in the ACTM Math Contest? Consider checking out the collection of resources that I have at this link.

Unit 1 - Sections 4.1 - 4.3

#1: Syllabus

#2: Websites to sign up for

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#3: 4.1 Notes

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#4: 4.1 Book Assignment: Pages 267-269, Vocabulary Check #s: 1-5, Exercise #s: 8, 11, 12, 13, 14, 15, 17, 19, 25, 26, 28, 29, 33, 35, 37, 40, 43, 47, 49.

4.1 Textbook Exercises PagesAnswers to the Vocabulary Check can always be found in the textbook a few pages before the exercises for that section.(Step-by-Step Odd Solutions: https://bit.ly/2uZKfyC) Textbook Company's Instructional Videos: 1) Coterminal angles 2) Complementary and Supplementary angles 3) Converting from degrees to radians 4) Converting from radians to degrees 5) Arc Length

#5: 4.1 Worksheet (think of this as a practice quiz)

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Video Solutions: #1b, #3b, #4b, #6, #7, #9, and #10Worksheet 4.1 B new copy / Solutions

#6: 4.1 Part 1 Quiz. Calculator is allowed.

#7: 4.2 Notes

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Try this unit circle app that tests your speed and accuracyPrint out / Complete a blank unit circle until you can do it confidently without making mistakes

#8: Unit Circle Construction (on your own paper)

#9: 4.2 Assignment: Pages 275-276, Vocabulary Check #s: 1 and 3. Exercise #s: 7, 9, 11, 13, 15, 19, 23, 26, 29, 31, 33, 36, 37, 38, 39, 40, 41, 42, 43, 45, 47, 48, 51, 53, and 54.

4.2 Textbook Exercises Pages
(Step-by-Step Solutions: http://bit.ly/30u56ZG) Textbook Company's Instructional Videos: 1) Evaluate the 6 trig functions at a real number 2) Use the period to evaluate sine and cosine functions 3) Use a calculator to evaluate

#10: 4.2 Worksheet A & 4.2 Worksheet B

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#11: 4.2 Quiz

#12: 4.3 Notes

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Basic Trig Identities to Memorize: Study with these online flashcards

#13: 4.3 Assignment: Pages 284-287, Vocabulary Check #s: 1, 2 and 4. Exercise #s: 5, 7, 11, 15, 17, 23, 24, 25, 26, 27, 28, 38, 39, 40, 53, 55, 57, 59, 64, 65, 66, 67, 68, 75, 77, 78, and 81.

4.3 Textbook Exercises Pages(Step-by-Step Odd Solutions: https://bit.ly/2mGJd6N) Textbook Company's Instructional Videos: 1) Use a triangle to find the values of the 6 trig functions 2) Find the values of cot, sec, and csc of 45 degrees 3) Use equilateral triangle to find the values of tangent of 30 and 60 degrees 4) Use a calculator to evaluate trig functions 5) Find the value of sine and tangent using trig identities 6) Find the value of cotangent and secant using trig identities 7) Use trig identities to transform the left side into the right side 8) Use SOHCAHTOA to find the height of a flagpole 9) Find the acute angle of a right triangle 10) Use SOHCAHTOA to find the length of a loading ramp

#14: Basic Trig Identities Memorization Quiz

#15: (Beginner Level) Proving Trig Identities Worksheet

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Study the basic Trig Identities with online flashcards

#16: Proving Trig Identities Worksheet

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Videos of the Solutions: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.

#17: Section 4.3 Quiz

#18: 4.1-4.3 Test Review

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#19: 4.1-4.3 Test

Unit 2 - Sections 4.4 - 4.6

#20: 4.4 Notes

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#21: 4.4 Assignment: Page 294, Vocabulary Check #s: 1-8. Exercise #s: 9b, 11a, 15, 19, 20, 21, 22, 25, 31, 33, 34, 35, 36, 39, 40, 47, 48, 49, 50, 51, 52, 53, 54, 57, 69, 73, 79, 81, 85, 89, 91a, 93b, 95a, 95b, and 97.

4.4 Textbook Exercises Pages(Odd Solutions: http://bit.ly/2mjdWtJ) (Optional Extra Practice: 9a, 11b, 13, 23, 24, 27, 29, 41, 55, 59, 61, 63, 71, 91b, 93a. Textbook Company's Instructional Videos: 1) Find trig values given a point on the terminal side of theta 2) Find trig values given a trig ratio 3) Evaluate trig functions of quadrant angles 4) Finding reference angles 5) Evaluate trig functions from angles on the unit circle 6) Find trig functions given a ratio, a quadrant, and trig identities 7) Using a calculator to evaluate trig functions

#22: 4.4 Quiz

#23: 4.5 Notes

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#24: Finding Equations of Trig Graphs Worksheet

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Video Solution: #7
Desmos Activity for manipulating sine and cosine graphs.

#25: ACT Type Questions from Section 4.5
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Solutions: 1. F, 2. A, 3. A, 4. C, 5. B
Video Solutions: #2, #5

#26: 4.5 Book Assignment: Pages 304-307, Vocabulary Check #s: 1-4. Exercise #s: 5, 7, 9, 13, 15, 17, 19, 21, 22, 23, 24, 25, 27, 29, 31, 35, 41, 47, 49, 55, 59, 65, 67, 69, 71, 75, and 77.

4.5 Textbook Exercises Pages(Odd Solutions: http://bit.ly/2mFP9kg) Textbook Company's Instructional Videos: 1) Graphing y=2cosx 2) Sketch y=1/3sinx and y=3sinx 3) Sketch y=cosx/3 4) Analyze y=2cos(x-pi/2) 5) Sketch y=-1/2sin(pix+pi) 6) Sketch y=2cosx-5 7) Find a sine model for data.

#27: 4.5 Extra Graphing Practice

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#28: 4.5 Worksheet (practice quizzes)

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#29: 4.5 Quiz. No calculator.

#30: 4.6 Notes

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#31: Graphing the 4 non-continuous trig functions
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Compare your answers to the 4.6 notes to check your work.

#32: The Characteristics of all 6 trig parent functions CHART
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Compare your answers to the 4.6 notes to check your work.

#33: 4.6 Quiz. No Calculator.

#34: 4.4-4.6 Test Review. (No calculator allowed on test.)

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#35: 4.4-4.6 Test. No Calculator.

Unit 3 - Sections 4.7 - 4.8

#39: Mini-Quiz: (Matching) Memorization of Inverse Trig Ranges

#40: Graphing Inverse Trig Functions

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Video of the Notes

#41: Inverse Trig Functions Using a Calculator

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Video of the notes

#42: 4.7 Book Assignment: Pages 324-325, Exercise #s: 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 63, 65, 67, and 69.

4.7 Textbook Exercises Pages(Odd Solutions: https://bit.ly/2OzhtQI) Textbook Company's Instructional Videos: 1) Finding the exact value of inverse trig expressions 2) Graphing trig and inverse trig functions to see that they are inverses of each other 3) Find the exact value of arccos(-1) 4) Using a calculator to approximate the value of inverse trig expressions 5) Find the exact value with two layers of trig and inverse trig expressions (unit circle needed) 6) Find the exact vale with two layers of trig and inverse trig expressions (triangle needed) 7) Writing algebraic expressions that are equivalent to trig/inverse trig expressions.

#43: 4.7 Worksheet 3 (optional)

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Solutions

#44: 4.7 Quiz

#45: 4.8 Notes

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#46: 4.8 Worksheet

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Video Solutions: #9, #10, #14, #16, #17, #18, #19, #20, #21, #22Textbook Company's Instructional Videos: 1) Solving right triangles to find all side lengths and angle measures 2) Find the height of a building with a ladder leaning against it 3) Find the height of a steeple on top of a church with a length and two angle measures 4) Finding the angle a plane needs to take to land 5) Sailboat takes a path and then changes it, determine where he ends up 6) Writing an equation for harmonic motion given amplitude and period 7) Given a harmonic equation, determine displacement, frequency and least positive value

#47: 4.8 Quiz

#48: 4.7-4.8 Review

Download a new copySolutionsVideo Solutions: #10, #13, #14, #15, #16, #19, #21, #23c

#49: 4.7 - 4.8 Test

Unit 4 - Factoring, Section 5.3, Semester Exam Review

#49: Factoring Notes and Practice 1

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#50: Factoring Quadratic Trinomials
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#51: (Optional) Pop-Quiz over Factoring

#52: 5.3 Notes

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Video of the notes.

#53: 5.3 Book Assignment: Page 370, Vocabulary Check #3, Exercises: 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, and 49.

(Odd Solutions: https://bit.ly/2QlU0n9)(Instructional Videos: https://bit.ly/2NT5CfT)

#54: 5.3 Worksheet (Practice Quiz)

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#55: 5.3 Quiz

#56: Fall Final Exam Review

Download a new copy.Solutions.Video Solutions: #1, #2, #3, #4, #6a, #6b, #7, #9, #11, #12, #15, #17, #21, #22, #23, #27, #29, #30, #31, #32, #33, #35, #36, #37, #38.

Unit 5 - Sections 6.1 - 6.2 (Law of Sines & Law of Cosines)

#57: Law of Sines Notes

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#58: 6.1 Book Assignment: Page 406 #s: 5, 8, 11, 37, 39, 41, 45, 47, 48.

Section 6.1 Textbook Pages
(Odd Solutions: http://bit.ly/310g4qJ)(Law of Sines - Instructional Videos: http://bit.ly/2vudCgt)

#59: Law of Sines Practice Worksheet

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Solutions

#60: Law of Cosines Notes

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#61: 6.2 Book Assignment: Page 413 #s: 5, 9, 37, 39, 45, 47, and 61.

(Law of Cosines - Instructional Videos: http://bit.ly/2u1bZXd) Optional Extra Practice: Page 406 #s: 48 Page 413 #s: 11, 52, 53

#62: Law of Cosines Practice Worksheet

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Solutions
Video Solutions: #5

#63: 6.1 - 6.2 Worksheet (Practice Quiz / No SSA)

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Video Solutions: #2, #3, #5, #6, #7, #8, #10, #11, #12

#64: 6.1 - 6.2 Assessment

Unit 6 - Limits

#65: Limits, day 1, from a Graph Practice Worksheet

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Solutions

#66: Notes - Limits from a function (indeterminate form; factoring) day 2

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#67: Limits from a Function Practice - Day 2 Practice (Factoring)

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Solutions - Check some of them by graphing in your calculator and then check the rest here.
Video Solutions: #8, #10, #11

#68: Khan Academy; 1 assignment; Limits from a Graph

#69: Notes - Limits from a function (indeterminate form; conjugates & trig identities) day 3

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#70: Limits from a Function Practice - Day 3 Practice

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SolutionsVideo Solutions: #2, #3, #4, #5, #7

#71: Khan Academy; 2 assignments; Estimating Limits from a table and One sided limits from graphs

#72: Notes & Practice - Limits from a function (indeterminate form; complex fractions & piecewise functions)

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Solutions to the practice

#73: Khan Academy; 2 assignments; Estimating Limits from a table and One sided limits from graphs

#74: Notes - Infinite Limits
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#75: Infinite Limits Practice
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Solutions

#76: Mid-Unit Review
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Solutions - Questions are from previous handouts. Use your binder to check your work.

#77: Notes - Continuity & Types of Discontinuity
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Video of the Notes

#78: Continuity & Types of Discontinuity Practice
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Solutions

#79: Khan Academy; 1 assignment; Limits from Piecewise Functions

#80: Difference Quotient Notes
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#81: Difference Quotient Practice 1
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Video Solutions: #2, #3

#82: Difference Quotient Practice 2

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Video Solutions: #1, #3

#83: Limits Review
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Solutions
Video Solutions: #1 and #2, #8, #10, #12, #13, #16, #19, #20, #21, #23, #24, #27, #28

#84: Limits Assessment

Unit 7 Part 1 - Section 1.9, 3.1, and 3.2 (Inverse, Exponential, and Log Graphs/Properties)

#85: Section 1.9 Notes

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#86: Section 1.9 Book Assignment: Pages 90-92: 1, 2, 3, 4, 5, 6, 10, 15, 18, 21, 29, 37, 38, 39, 40, 55, 58, 61, 89, 91, and 92.
Textbook Pages: 90 through 93
(Odd Solutions: http://bit.ly/310g4qJ)
(Optional Extra Practice): #9, #23, #41, #45, #61

#87: Section 1.9 Worksheet

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SolutionsVideo of the Solutions

#88: Section 1.9 Quiz

#89: 3.1 Notes

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#90 and #91: 3.1 Worksheet 1 and 2

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Solutions

#92: 3.1 Extra Practice

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#93: 3.1 Quiz

#94: 3.2 Notes Part 1 (Graphing Logarithmic Functions)

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#95: 3.2 Notes Part 2

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#96 and #97: 3.2 Worksheet #1 and 2

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OPTIONAL: 3.2 Worksheet #3

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Solutions

#98: 3.2 Quiz. No Calculator.

#: 1.9, 3.1 - 3.4 Test Review. No Calculator.

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Solutions
Video Solutions: #4

#99: 1.9, 3.1, and 3.2 Test. No Calculator.

Unit 7 Part 2 - Sections 3.3 and 3.4 (Expanding/condensing logarithms & solving logarithmic and exponential equations)

#100: Section 3.3 Notes (Expanding and Condensing Logarithms)

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#101: Section 3.3 Book Assignment: Page 223 #s: 1, 2, 5, 9, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 41, 43, 59, 60, 62, 64, 66, 68, 70, 72, 74, and 76.

Textbook Pages for 3.3 Book AssignmentCheck Odd Solutions

#102: Section 3.4 Notes (Solving Exponential Equations using Logarithms)

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#103: Section 3.4 Book Assignment: Page 233 #s: 1, 2, 3, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 64, 66, 68, 70, and 72.

Textbook Pages for 3.4Check Odd Solutions
Extra Practice: #35, #62

#104: Sections 3.3 - 3.4 Worksheet

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Solutions
Video Solutions: #1, #2, #3, #4, #5, #6, #7, #9, #10, #11, #12

#105: Sections 3.3 - 3.4 Worksheet #2Download a new copy
Solutions to page 1 (page 2 you should store your answer in your calculator to check)Video Solutions: #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12

#106: Sections 3.3 - 3.4 Quiz

#107: 3.1 - 3.4 Test Review

Solutions

#108: Sections 3.3 - 3.4 Exam

Unit 8 - Linear / Quadratics / Piecewise Functions

#109: Linear Worksheet 1

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Video of the Notes/Solutions

#110: Linear Worksheet 2

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Solutions
Video Solutions: #11, #14

#111: Section 1.1 Extra Practice

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#112: Solving Quadratics Worksheet

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#113: Quadratics Analysis Worksheet

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#114: Linear / Piecewise / Factoring / Quadratics Review

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Solutions
Video Solutions: #1b, #1c, #2, #3, #4, #5, #6, #7, #8b, #11.

#115: Graphing Piecewise Functions Practice

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Video Solutions: #3, #4, #6, #8
Extra Practice (optional): Download a copy with solutions attached.

#116: Linear / Piecewise / Factoring / Quadratics Exam
(OPTIONAL)Quadratic Analysis Book Assignment: Pages 120-121: 5-8 all, 13, 17, 25, 35, 37, 39, 41, 51, 53, 55, 57, 59, 68, 70, 73

Unit 9 - Section 2.5, 2.6, and 2.7 (FT of Algebra, Graphing Rational Functions)

#117: Polynomial Division (Long Division / Synthetic Division)

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Video Solutions: #15

#118: Section 2.5 Review Worksheet

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#119: Section 2.5 Book Assignment: Pages 162-163: #9, 13, 15, 16, 31, 33, 37, 41, 43, 59, and 60.

#120: Section 2.5 Quiz

#121:Rational Functions Part 1 (VA / Holes / X-INT)

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#122: Rational Functions Notes / Practice

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Video Solutions: #6, #7, #8, #9, #10, #11, #12

#123: Exam Review (Rational/Polynomial)

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#124: Rational/Polynomial (Sections 2.5-2.7) Exam

#125: Semester Exam Review

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Precalculus(2023-2024)

Unit 1 - Sections 4.1 - 4.3

#1: Syllabus

#2: Websites to sign up for

#3: 4.1 Notes

#4: 4.1 Book Assignment: Pages 267-269, Vocabulary Check #s: 1-5, Exercise #s: 8, 11, 12, 13, 14, 15, 17, 19, 25, 26, 28, 29, 33, 35, 37, 40, 43, 47, 49.

#5: 4.1 Worksheet (think of this as a practice quiz)

#6: 4.1 Part 1 Quiz. Calculator is allowed.

#7: 4.2 Notes

#8: Unit Circle Construction (on your own paper)

#9: 4.2 Assignment: Pages 275-276, Vocabulary Check #s: 1 and 3. Exercise #s: 7, 9, 11, 13, 15, 19, 23, 26, 29, 31, 33, 36, 37, 38, 39, 40, 41, 42, 43, 45, 47, 48, 51, 53, and 54.

#10: 4.2 Worksheet A & 4.2 Worksheet B

#11: 4.2 Quiz

#12: 4.3 Notes

#13: 4.3 Assignment: Pages 284-287, Vocabulary Check #s: 1, 2 and 4. Exercise #s: 5, 7, 11, 15, 17, 23, 24, 25, 26, 27, 28, 38, 39, 40, 53, 55, 57, 59, 64, 65, 66, 67, 68, 75, 77, 78, and 81.

#14: Basic Trig Identities Memorization Quiz

#15: (Beginner Level) Proving Trig Identities Worksheet

#16: Proving Trig Identities Worksheet

#17: Section 4.3 Quiz

#18: 4.1-4.3 Test Review

#19: 4.1-4.3 Test

Unit 2 - Sections 4.4 - 4.6

#20: 4.4 Notes

#21: 4.4 Assignment: Page 294, Vocabulary Check #s: 1-8. Exercise #s: 9b, 11a, 15, 19, 20, 21, 22, 25, 31, 33, 34, 35, 36, 39, 40, 47, 48, 49, 50, 51, 52, 53, 54, 57, 69, 73, 79, 81, 85, 89, 91a, 93b, 95a, 95b, and 97.

#22: 4.4 Quiz

#23: 4.5 Notes

#24: Finding Equations of Trig Graphs Worksheet

#25: ACT Type Questions from Section 4.5Download a new copySolutions: 1. F, 2. A, 3. A, 4. C, 5. BVideo Solutions: #2, #5

#26: 4.5 Book Assignment: Pages 304-307, Vocabulary Check #s: 1-4. Exercise #s: 5, 7, 9, 13, 15, 17, 19, 21, 22, 23, 24, 25, 27, 29, 31, 35, 41, 47, 49, 55, 59, 65, 67, 69, 71, 75, and 77.

#27: 4.5 Extra Graphing Practice

#28: 4.5 Worksheet (practice quizzes)

#29: 4.5 Quiz. No calculator.

#30: 4.6 Notes

#31: Graphing the 4 non-continuous trig functionsDownload a new copyCompare your answers to the 4.6 notes to check your work.

#32: The Characteristics of all 6 trig parent functions CHARTDownload a new copyCompare your answers to the 4.6 notes to check your work.

#33: 4.6 Quiz. No Calculator.

#34: 4.4-4.6 Test Review. (No calculator allowed on test.)

#35: 4.4-4.6 Test. No Calculator.

Unit 3 - Sections 4.7 - 4.8

#36: 4.7 Notes

#37: 4.7 Worksheet 1

#38: 4.7 Worksheet 2

#39: Mini-Quiz: (Matching) Memorization of Inverse Trig Ranges

#40: Graphing Inverse Trig Functions

#41: Inverse Trig Functions Using a Calculator

#42: 4.7 Book Assignment: Pages 324-325, Exercise #s: 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 63, 65, 67, and 69.

#43: 4.7 Worksheet 3 (optional)

#44: 4.7 Quiz

#45: 4.8 Notes

#46: 4.8 Worksheet

#47: 4.8 Quiz

#48: 4.7-4.8 Review

#49: 4.7 - 4.8 Test

Unit 4 - Factoring, Section 5.3, Semester Exam Review

#49: Factoring Notes and Practice 1

#50: Factoring Quadratic TrinomialsDownload a new copy

#51: (Optional) Pop-Quiz over Factoring

#52: 5.3 Notes

#53: 5.3 Book Assignment: Page 370, Vocabulary Check #3, Exercises: 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, and 49.

#54: 5.3 Worksheet (Practice Quiz)

#55: 5.3 Quiz

#56: Fall Final Exam Review

Unit 5 - Sections 6.1 - 6.2 (Law of Sines & Law of Cosines)

#57: Law of Sines Notes

#58: 6.1 Book Assignment: Page 406 #s: 5, 8, 11, 37, 39, 41, 45, 47, 48.

#59: Law of Sines Practice Worksheet

#60: Law of Cosines Notes

#61: 6.2 Book Assignment: Page 413 #s: 5, 9, 37, 39, 45, 47, and 61.

#62: Law of Cosines Practice Worksheet

#63: 6.1 - 6.2 Worksheet (Practice Quiz / No SSA)

#64: 6.1 - 6.2 Assessment

Unit 6 - Limits

#65: Limits, day 1, from a Graph Practice Worksheet

#66: Notes - Limits from a function (indeterminate form; factoring) day 2

#67: Limits from a Function Practice - Day 2 Practice (Factoring)

#68: Khan Academy; 1 assignment; Limits from a Graph

#69: Notes - Limits from a function (indeterminate form; conjugates & trig identities) day 3

#70: Limits from a Function Practice - Day 3 Practice

#71: Khan Academy; 2 assignments; Estimating Limits from a table and One sided limits from graphs

#72: Notes & Practice - Limits from a function (indeterminate form; complex fractions & piecewise functions)

Precalculus
(2023-2024)

#25: ACT Type Questions from Section 4.5
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Solutions: 1. F, 2. A, 3. A, 4. C, 5. B
Video Solutions: #2, #5

#31: Graphing the 4 non-continuous trig functions
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Compare your answers to the 4.6 notes to check your work.

#32: The Characteristics of all 6 trig parent functions CHART
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Compare your answers to the 4.6 notes to check your work.

#50: Factoring Quadratic Trinomials
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#74: Notes - Infinite Limits
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#75: Infinite Limits Practice
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Solutions

#76: Mid-Unit Review
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Solutions - Questions are from previous handouts. Use your binder to check your work.

#77: Notes - Continuity & Types of Discontinuity
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Video of the Notes

#78: Continuity & Types of Discontinuity Practice
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Solutions

#80: Difference Quotient Notes
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#81: Difference Quotient Practice 1
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Video Solutions: #2, #3

#83: Limits Review
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Solutions
Video Solutions: #1 and #2, #8, #10, #12, #13, #16, #19, #20, #21, #23, #24, #27, #28

#86: Section 1.9 Book Assignment: Pages 90-92: 1, 2, 3, 4, 5, 6, 10, 15, 18, 21, 29, 37, 38, 39, 40, 55, 58, 61, 89, 91, and 92.
Textbook Pages: 90 through 93
(Odd Solutions: http://bit.ly/310g4qJ)
(Optional Extra Practice): #9, #23, #41, #45, #61

#116: Linear / Piecewise / Factoring / Quadratics Exam
(OPTIONAL)Quadratic Analysis Book Assignment: Pages 120-121: 5-8 all, 13, 17, 25, 35, 37, 39, 41, 51, 53, 55, 57, 59, 68, 70, 73