初級微積分第 1 部分（Flex）

This flexible schedule course will cover the Precalculus Common Core Standards. Topics will include the following: 

Unit 1: Functions
Week 1 - Functions and Function Notations/Domain and Range
Week 2 - Rates of Change and Behavior of Graphs/Composition and Transformation of Functions (Unit 1 Quiz)
Week 3 - Absolute Value and Inverse Functions/Linear Functions and their Graphs
Week 4 - Modeling with Linear Functions/Fitting Linear Models to Data (Unit 1 Review/Test)


Unit 2: Polynomial and Rational Functions
Week 5 - Complex Numbers/Quadratic Functions
Week 6 - Power Functions and Polynomial Functions/Graphs of Polynomial Functions (Unit 2 Quiz)
Week 7 - Dividing Polynomials/Zeros of Polynomial Functions
Week 8 - Rational Functions/Inverses and Radical Functions (Unit 2 Review/Test)

Unit 3: Exponential and Logarithmic Functions
Week 9 - Exponential Functions and their Graphs/Logarithmic Functions and their Graphs
Week 10 - Logarithmic Properties/Exponential and Logarithmic Equations (Unit 3 Quiz
Week 11 - Exponential and Logarithmic Models/Fitting Exponential Models to Data (Unit 3 Review/Test)


Unit 4: Trigonometric and Periodic Functions
Week 12 - Angles, Unit Circle: Sine and Cosine Functions/The Other Trigonometric Functions, Right Triangle Trigonometry
Week 13 - Graphs of Trigonometric Functions/Inverse Trigonometric Functions (Unit 4 Review/Test)

Unit 5: Trigonometric Identities and Equations
Week 14 - Solving Trigonometric Equations with Identities/Sum and Difference Identities
Week 15 - Double-Angle, Half-Angle, and Reduction Formulas/Sum-to-Product and Product-to-Sum Formulas (Unit 5 Quiz)
Week 16 - Solving Trigonometric Equations/Modeling with Trigonometric Functions (Unit 5 Review/Test)

Students who are already taking High School Precalculus can enroll for additional support and practice. Homeschooled students can enroll for a complete High School Precalculus course. 

The weekly schedule will include the following:
Monday: Lesson with video exposure and instruction of the concept will be posted. Students will be given an assignment to complete by Thursday.
Tuesday & Wednesday: Students will work on their assignment on their own. They can message me for additional assistance during this time.
Friday: Optional resources will be provided to students who request extra practice with the concept. Students will be provided with individual feedback on their homework and assignments and can request a meeting to go over any topics they need help with.

Daily Lessons Include:
Entry Ticket/Spiral Review: Students will work on prior learned concepts.
Lesson: Students will participate in the interactive math lesson.
Explore: Students explore an interactive and/or real-world activity to introduce the topic.
Videos: Multiple videos to illustrate visually and explain verbally the math concepts.
Exit Ticket: Students will complete an exit ticket to show their understanding of the lesson.
Homework: Students will be given a homework assignment to practice the new skill. 

These math lessons will integrate real-world and engaging topics. Students will participate in interactive platforms such as Nearpod, Desmos, GeoGebra, Kahoot, and more. Students will be provided with several different options for homework every week which include procedural, real-world, and critical thinking assignments.