Embedded Files
Useful Websites:
https://quizlet.com/explanations/textbook-solutions/precalculus-common-core-edition-1st-edition-9780076641833
Course Overview:
Precalculus serves as a bridge between algebra, geometry, and calculus, designed to prepare students for the study of calculus and other higher-level mathematics courses. This course emphasizes function analysis, trigonometry, and a deep exploration of mathematical concepts that have both theoretical and practical applications. The goal is to enhance students' understanding of mathematical relationships and to develop critical thinking and problem-solving skills.
Objective:
By the end of the course, students will have a strong understanding of functions, trigonometry, vectors, and other key precalculus topics, preparing them for the challenges of calculus and other advanced mathematical studies. Students will also develop strong problem-solving abilities and mathematical reasoning that can be applied in diverse fields.
Year at a Glance:
Term Dates Weeks No. of Holidays
Quarter 1 Aug 13 – Oct 17, 2025 9 6
Quarter 2 Oct 20 – Dec 19, 2025 10 3
Quarter 3 Jan 5 – Mar 13, 2026 10 5
Quarter 4 Mar 16 – June 11, 2026 10 8
Total Aug 13 – May 22 39 Weeks (~195 days)
Unit Plan Overview:
Month Chapters Covered
August Chapter 1: Functions and Graphs
September Chapter 2: Polynomial and Rational Functions
October Chapter 3: Exponential and Logarithmic Functions
November Chapter 4: Trigonometric Functions
December Chapter 5: Analytic Trigonometry + Midterm Review
January Chapter 6: Applications of Trigonometry
February Chapter 7: Systems and Matrices
March Chapter 8: Sequences and Series
April Chapter 9: Conic Sections, Chapter 10: Vectors
May Chapter 11: Parametric, Polar, Complex Numbers
June Chapter 12–13: Limits, Final Review & Exam
Detailed Weekly Breakdown:
Each chapter has ~6–9 sections. Plan includes lessons, reviews, assessments, and time for projects or reteaching
Quarter 1: Core Functions
Weeks 1–9 (Aug 13 – Oct 17, 2025)
Week Topics
1 (Aug 13–15) Course Overview, Pre-Assessment, Ch. 1.1–1.2 (Graphs, Domains)
2 Ch. 1.3–1.5 (Transformations, Combinations, Inverses)
3 Ch. 1.6–1.8 (Piecewise, Compositions, Review) + Chapter 1 Test
4 Ch. 2.1–2.3 (Polynomial Graphs, Division)
5 Ch. 2.4–2.6 (Rational Functions, Asymptotes)
6 Chapter 2 Review + Test; Start Ch. 3
7 Ch. 3.1–3.3 (Exponential Growth, Logarithmic Properties)
8 Ch. 3.4–3.6 (Log Equations, Applications)
9 Chapter 3 Review + Test
Quarter 2: Trigonometry
Weeks 10–19 (Oct 20 – Dec 19, 2025)
Week Topics
10 Ch. 4.1–4.2 (Angles, Radians, Unit Circle)
11 Ch. 4.3–4.5 (Trig Graphs, Inverse Trig Functions)
12 Ch. 4.6–4.7 (Applications, Identities)
13 Chapter 4 Review + Test
14 Ch. 5.1–5.3 (Fundamental Identities, Verifying Identities)
15 Ch. 5.4–5.5 (Trig Equations & Solutions)
16 Chapter 5 Review + Test
17 Semester Review
18 Midterm Exam Week
19 Enrichment Activities or Reteaching
Quarter 3: Applications
Weeks 20–29 (Jan 5 – Mar 13, 2026)
Week Topics
20 Ch. 6.1–6.3 (Law of Sines, Law of Cosines)
21 Ch. 6.4–6.5 (Area of Triangles, Navigation/Surveying)
22 Chapter 6 Review + Test
23 Ch. 7.1–7.3 (Systems, Gaussian Elimination)
24 Ch. 7.4–7.6 (Inverse Matrices, Determinants)
25 Chapter 7 Review + Test
26 Ch. 8.1–8.2 (Sequences & Series)
27 Ch. 8.3–8.5 (Geometric Series, Binomial Theorem)
28 Chapter 8 Review + Test
29 Begin Ch. 9 (Parabolas, Circles)
Quarter 4: Vectors, Parametrics, and Complex
Weeks 30–39 (Mar 16 – June 11, 2026)
Week Topics
30 Ch. 9.3–9.5 (Ellipses, Hyperbolas)
31 Chapter 9 Review + Test
32 Ch. 10.1–10.3 (Vector Basics, Dot Products)
33 Ch. 10.4–10.5 (Applications, 3D Vectors)
34 Chapter 10 Review + Test
35 Ch. 11.1–11.3 (Parametric Equations, Polar Coordinates)
36 Ch. 11.4–11.6 (Graphing Polar Equations, Complex Numbers in Polar)
37 Chapter 11 Review + Test
38 Ch. 12: Limits & Continuity
39 Chapter 12 Review + Begin Ch. 13 (Intro to Calculus)
Final Stretch (Weeks 40–42): May 26 – June 11, 2026
Week Topics
40 Finish Ch. 13: Derivatives, Slope of Curve, Applications
41 Final Exam Review + Practice Exams
42 Final Exam Week, Grade Conferences, Year Wrap-up
Quarter 1- Worksheet Notices:
Package: Functions
Verifying/Proving Trigonometric equations
Quarter 1 - Test & Quiz Announcements:
Aug. 27th - Quiz: FUNCTIONS
Aug. 29th - TEST on all that were taught so far.
Sept. 3 - Graphing Rational Functions - Class Graded Assignment
Sept. 5th - Graphing Rational Functions [QUIZ]
Sept. 12th - QUIZ Rational Zero, Complex Numbers and Graphing Polynomials
Sept. 26th - CHAPTER 1 TEST [Q1 Review TEST]
October 3rd - Logarithmic Test on material taught
Oct. 22 - QUIZ: Verifying/Proving Trig. Equations +
Oct. 31st - Trigonometric Review TEST [The test will consist of all were covered in class, such as: Coterminal & Reference Angles, converting angles to radians & degrees, solving Trig equations, simplifying and Proving Trig. Identities, etc.
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