$42
weekly
or $250 for 6 classes
Class

Introduction to Pre-Calculus

Completed by 10 learners
Ages 12-17
Live Group Class
In this introductory pre-calculus class, students will explore algebra, trigonometry, and more. They'll delve into topics like polynomials, logarithms, derivatives, gaining a solid foundation for advanced mathematical concepts.
Average rating:
4.8
Number of reviews:
(468 reviews)
Popular

Live video meetings
1x per week, 6 weeks
2-18 learners per class
115 min

What's included

6 live meetings
11 hrs 30 mins in-class hours

Class Experience

Immerse yourself in the world of Pre-Calculus through our engaging 6-week class. Explore fundamental topics, taking thorough notes as we tackle problems together, both as a class and individually. Reinforce your learning with handouts and homework assignments. The final 5 minutes of each session are dedicated to addressing questions and concerns. We'll also review any homework inquiries at the start of each class. Since this class is 2 hours per session, we will take a 10 minute break in between.

SCHEDULE:
Week 1: Composite and inverse functions
Week 2: Trigonometry, including special values, identities, and solving equations
Week 3: Complex numbers, covering the complex plane, modulus, and polar form
Week 4: Rational functions, studying graphs, modeling, and operations
Week 5: Conic sections, exploring ellipses and hyperbolas
Week 6: Reserved for extra topics and comprehensive review

Please note that the class pace depends on student readiness, as we strive to accommodate everyone. Homework completion is strongly encouraged to reinforce understanding and retention. I'm readily available for messaging, providing additional support, guides, and one-on-one tutoring if needed. Classes start promptly, with a 10-minute wait time. Don't miss out on this transformative learning experience—reserve your spot today!

SYLLABUS:
Week 1: Composite and inverse functions
Composing functions
Modeling with composite functions
Invertible functions
Inverse functions in graphs and tables
Verifying inverse functions by composition

Week 2: Trigonometry
Special trigonometric values in the first quadrant
Trigonometric identities on the unit circle
Inverse trigonometric functions
Law of sines
Law of cosines
Solving general triangles
Sinusoidal equations
Sinusoidal models
Angle addition identities
Using trigonometric identities

Week 3: Complex numbers
The complex plane
Distance and midpoint of complex numbers
Complex conjugates and dividing complex numbers
Identities with complex numbers
Modulus (absolute value) and argument (angle) of complex numbers
Polar form of complex numbers
Graphically multiplying complex numbers
Multiplying and dividing complex numbers in polar form
The fundamental theorem of algebra

Week 4: Rational functions
Reducing rational expressions to lowest terms
End behavior of rational functions
Discontinuities of rational functions
Graphs of rational functions
Modeling with rational functions
Multiplying and dividing rational expressions
Adding and subtracting rational expressions

Week 5: Conic sections
Introduction to conic sections
Center and radii of an ellipse
Foci of an ellipse
Introduction to hyperbolas
Foci of a hyperbola
Hyperbolas not centered at the origin

Week 6: Left for extra time for topics / review

Learning Goals

Throughout this Pre-Calculus class, learners will strive to achieve the following goals:

Develop a Strong Foundation: Build a solid understanding of fundamental concepts in Pre-Calculus, including functions, trigonometry, complex numbers, rational functions, and conic sections.

Problem-solving Proficiency: Enhance problem-solving skills by actively participating in solving math problems both individually and as a class. Gain confidence in approaching and solving mathematical challenges.

Note-taking and Organization: Improve note-taking abilities by actively engaging in the class discussions and jotting down key points, formulas, and problem-solving strategies. Cultivate effective organizational skills to maintain a comprehensive set of notes for future reference.

Homework Practice: Complete assigned homework regularly to reinforce learning, strengthen understanding, and deepen retention of the covered topics. Recognize the importance of consistent practice to build a strong mathematical foundation.

Active Participation: Actively participate in class activities, discussions, and Q&A sessions. Take advantage of the opportunity to ask questions, seek clarification, and engage with fellow learners to foster a supportive and collaborative learning environment.

Time Management: Develop effective time management skills to balance class commitments, homework assignments, and personal study time. Make consistent progress throughout the six weeks by dedicating regular time and effort to the course.

Mastery of Specific Topics: Master the specific topics covered in each week, including composite and inverse functions, trigonometric identities, complex numbers, rational functions, and conic sections. Strive to attain a deep understanding and proficiency in these areas.

Personal Growth: Embrace challenges, embrace a growth mindset, and push personal boundaries in mathematics. Recognize that learning Pre-Calculus is a stepping stone to higher-level math and cultivate a passion for continuous learning and improvement.

By actively pursuing these learner goals, participants in this Pre-Calculus class will enrich their mathematical skills, expand their knowledge, and lay a strong foundation for further studies in advanced mathematics.

Other Details

Parental Guidance
This Pre-Calculus class utilizes Khan Academy, a free online learning platform. To participate, learners will receive a class code to sign up on Khan Academy, where all course materials and assignments will be accessible. It's important to note that communication between the instructor and learners should exclusively take place within the Outschool platform. This class may also use Google Classroom or YouTube as an additional resource to help with concepts and assignments. No external communication channels are involved in this class. As a parent, you can support your child's learning by encouraging their active engagement on Khan Academy. Ensure they create an account using the provided class code and regularly access the course materials, video lessons, and practice exercises available. Monitor their progress and offer assistance if they encounter any challenges or require additional guidance. Although direct communication with the instructor should be conducted solely through the Outschool platform, you can still play an active role in your child's education. Encourage them to ask questions, seek clarification, and actively participate in class discussions and activities. Create a conducive learning environment at home, free from distractions, and designate specific study times for them to focus on their Pre-Calculus coursework. By emphasizing the importance of consistent engagement and utilizing the resources available on Khan Academy, you can help your child maximize their learning experience and make the most of this Pre-Calculus class.
Supply List
Pencil, Paper, & a Scientific Calculator.
External Resources
In addition to the Outschool classroom, this class uses:

Meet the teacher

Joined March, 2020
4.8
468reviews
Popular
Profile
Teacher expertise and credentials
Bachelor's Degree in Psychology from California State University of Long Beach
Bachelor's Degree in Criminal Justice from California State University of Long Beach
As an experienced math instructor with over three years of teaching and tutoring experience, I possess a comprehensive understanding of mathematical concepts, ranging from foundational topics to advanced Calculus. My expertise extends across various levels of math education, allowing me to effectively engage and guide learners at different stages of their mathematical journey.

Throughout my teaching career, I have demonstrated proficiency in explaining complex mathematical concepts in a clear and accessible manner, ensuring that students grasp the underlying principles and develop a strong foundation. I am skilled at adapting instructional strategies to meet the diverse learning styles and needs of individual students, fostering an inclusive and engaging classroom environment.

My expertise includes designing comprehensive lesson plans, curating educational resources, and creating interactive learning experiences that encourage active student participation. I prioritize hands-on problem-solving activities, real-world applications, and critical thinking exercises to promote a deep understanding of mathematical concepts and their practical relevance.

I am well-versed in utilizing technology-enhanced tools and online platforms to facilitate effective virtual teaching and learning experiences. This includes integrating interactive whiteboards, educational software, and online resources to create dynamic and engaging lessons.

My strong commitment to student success is reflected in my ability to provide personalized support and guidance. I am adept at identifying individual learning gaps and tailoring instruction to address specific challenges. I believe in fostering a growth mindset, promoting a positive learning atmosphere, and cultivating students' confidence in their mathematical abilities.

With my extensive experience in teaching and tutoring math, I am well-equipped to support learners in their Pre-Calculus journey. I strive to create a supportive and collaborative learning environment where students can excel, build mathematical proficiency, and develop a lifelong love for math.

Reviews

Nicole Marie suggests this class next...
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