Precalculus HN

Welcome to Precalculus Honors!

You will have the distinct pleasure of taking one of the most fascinating math classes offered in High School this year! The class will meet for about 90 minutes each day for 90 days. You will learn a plethora of mathematical concepts designed to strengthen the core topics of Algebra 2 and prepare you for the intellectual rigor of AB Calculus. Precalculus Honors is a course designed to a) solidify the topics discussed in Algebra 2, and b) introduce you to the thrilling world of Trigonometry. There are also two important themes that will follow us throughout the semester: graphing (finding and plotting points, domain and range, transformations, etc.). The first half of the semester will be devoted almost entirely to a review of Algebra 2 concepts and the vast world of Trigonometry, the study of the relationship between angles and distances. The second half of the semester will speed up and hit on a number of interesting topics, including Vectors, Conic Sections, (possibly) Polar Equations, and Matrices.

Pacing Guide and Assessment Checklist

Due to the fluctuating nature of the High School schedule, lesson plans are outperformed by a general pacing guide of topics and assessments. Below are the topics we will cover this year and milestones for assessments (subject to change as needed). Each topic is hyperlinked to the handout from the corresponding classroom packet. *Topics in this guide are color-coded blue once we've covered that topic. In the event that too many days of instruction are lost, lessons will be truncated from the end of the course, not from the center.*

This same pacing guide can be found in Google Classroom (if you lose any pages from your packet) and in PowerSchool (along with corresponding grades).

Unit 1 Review of Algebra 2 (Part 1) (COMPLETE)

• 1.1a Review of Quadratic Functions (Part 1 of 2)

• 1.1b Review of Quadratic Functions (Part 2 of 2)

• QUIZ: Review of Quadratic Functions (14 August)

• 1.2a Review of Polynomial Functions (Part 1 of 2)

• 1.2b Review of Polynomial Functions (Part 2 of 2)

• QUIZ: Review of Polynomial Functions (19 August)

• Review: Review of Algebra 2 (Part 1)

• TEST: Review of Algebra 2 (Part 1) (20 August)

• *Unit 1 Practice Answer Key*

Unit 2 Review of Algebra 2 (Part 2) (COMPLETE)

• 2.1a Review of Radical Functions (Part 1 of 2)

• 2.1b Review of Radical Functions (Part 2 of 2)

• QUIZ: Review of Radical Functions (27 August)

• 2.2a Review of Rational Functions (Part 1 of 2)

• 2.2b Review of Rational Functions (Part 2 of 2)

• QUIZ: Review of Rational Functions (2 September)

• Review: Review of Algebra 2 (Part 2)

• TEST: Review of Algebra 2 (Part 2) (3 September)

• *Unit 2 Practice Answer Key*

Unit 3 Exponential & Logarithmic Functions (COMPLETE)

• 3.1 Graphing Exponential Growth & Decay Functions

• 3.2 Interest Models & the Number e

• QUIZ: Exponential Graphs & Models (9 September)

• 3.3 Graphing Logarithmic Functions

• 3.4 Properties of Logarithms

• QUIZ: Graphs & Properties of Logarithms (11 September)

• 3.5 Solving Exponential & Logarithmic Equations

• QUIZ: Solving Exponential & Logarithmic Equations (15 September)

• Review: Exponential & Logarithmic Functions

• TEST: Exponential & Logarithmic Functions (16 September)

• *Unit 3 Practice Answer Key*

Unit 4 Trigonometric Ratios (COMPLETE)

• 4.1 Definition of Trigonometric Ratios

• 4.2 Special Angles

• QUIZ: Definition of Trigonometric Ratios (22 September)

• 4.3 General Angle Measures

• 4.4 Radian Measurements

• QUIZ: General Angle Measures & Radians (25 September)

• 4.5a Evaluating Trigonometric Functions of Any Angle (Part 1 of 2)

• 4.5b Evaluating Trigonometric Functions of Any Angle (Part 2 of 2)

• 4.6 The Unit Circle

• QUIZ: The Unit Circle (30 September) *Any day from here on is fair game for a Unit Circle Pop Quiz*

• 4.7 Inverse Trigonometric Functions

• QUIZ: Inverse Trigonometric Functions (1 October)

• Review: Trigonometric Ratios

• TEST: Trigonometric Ratios (2 October)

• *Unit 4 Practice Answer Key*

Unit 5 Graphs of Trigonometric Functions (COMPLETE)

• 5.1 Graphs of the Sine & Cosine Functions

• 5.2a Graphs of the Sine & Cosine Functions: Translations (Part 1 of 2)

• 5.2b Graphs of the Sine & Cosine Functions: Translations (Part 2 of 2)

• QUIZ: Graphing Sine & Cosine Functions (10 October)

• 5.3a Graphs of Other Trigonometric Functions (Part 1 of 2)

• 5.3b Graphs of Other Trigonometric Functions (Part 2 of 2)

• 5.4 Graphs of Inverse Trigonometric Functions

• QUIZ: Trigonometric Graphs & Translations (16 October)

• Review: Graphs of Trigonometric Functions

• TEST: Graphs of Trigonometric Functions (17 October)

• *Unit 5 Practice Answer Key*

Unit 6 Trigonometric Identities & Equations (NOT STARTED)

• 6.1a Fundamental Trigonometric Identities (Part 1 of 2)

• 6.1b Fundamental Trigonometric Identities (Part 2 of 2)

• QUIZ: Fundamental Trigonometric Identities (21 October)

• 6.2a Verifying Trigonometric Identities (Part 1 of 2)

• 6.2b Verifying Trigonometric Identities (Part 2 of 2)

• QUIZ: Verifying Trigonometric Identities (Basic) (27 October)

• 6.3 Sum & Difference Formulae

• 6.4 Half-Angle & Double-Angle Formulae

• QUIZ: Verifying Trigonometric Identities (Advanced) (30 October)

• 6.5a Solving Trigonometric Equations (Part 1 of 2)

• 6.5b Solving Trigonometric Equations (Part 2 of 2)

• QUIZ: Solving Trigonometric Equations (4 November)

• Review: Trigonometric Identities & Equations

• TEST: Trigonometric Identities & Equations (6 November)

• *Unit 6 Practice Answer Key*

Unit 7 Additional Applications of Trigonometry (NOT STARTED)

• 7.1a The Law of Sines

• 7.1b The Law of Sines: The Ambiguous Case

• 7.2 The Law of Cosines

• QUIZ: The Laws of Sines & Cosines (TBD)

• 7.3a Vectors in a Plane (Part 1 of 2)

• 7.3b Vectors in a Plane (Part 2 of 2)

• QUIZ: Vectors in a Plane (TBD)

• 7.4a Applications of 2-D Vectors (Part 1 of 3)

• 7.4b Applications of 2-D Vectors (Part 2 of 3)

• 7.4c Applications of 2-D Vectors (Part 3 of 3)

• QUIZ: Applications with Vectors (TBD)

• 7.5 The Dot Product

• 7.6 Vectors in 3-D Space

• Review: Additional Applications of Trigonometry

• TEST: Additional Applications of Trigonometry (TBD)

• *Unit 7 Practice Answer Key*

Unit 8 Conic Sections (NOT STARTED)

• 8.1 The Parabola

• 8.2 The Circle

• QUIZ: Parabolas & Circles (TBD)

• 8.3 The Ellipse

• 8.4 The Hyperbola

• QUIZ: Ellipses & Hyperbolas (TBD)

• 8.5a Translating & Classifying Conic Sections (Part 1 of 2)

• 8.5b Translating & Classifying Conic Sections (Part 2 of 2)

• QUIZ: Translating & Classifying Conic Sections (TBD)

• 8.6 Solving Quadratic Systems

• Review: Conic Sections

• TEST: Conic Sections (TBD)

• *Unit 8 Practice Answer Key*