Ultimate Review: Strengthening Foundations for Advanced Calculus
Review key high school calculus concepts from dual enrollment, AP Calculus AB/BC, Calculus 1, and IB courses. Engage in interactive workshops and collaborative problem-solving to build strong foundations for advanced calculus.
What's included
6 live meetings
5 hrs 30 mins in-class hoursProjects
1 hour per week. A preliminary online diagnostic and a summative diagnostic will be assigned. Formative diagnostics are optional.Progress Report
1 after class completionClass Experience
US Grade 9 - 12
Intermediate - Advanced Level
We will review increasingly difficult topics in more sophisticated problems from the first year of Calculus. We will not be teaching new topics, but we will be exposed to new problem-solving methods and ideas. Before the first class, a free online diagnostic will be sent to the students to help with pod assignment. Each class will begin with an example demonstration by the teacher before moving to the workshops. The examples will come from the optional review videos homework. Our workshops will consist of pods of three students each, which will be re/arranged at the teacher's discretion to maximize learning. All the pods will be working on the same material, a "circuit," as the teacher rotates through them for interaction and reinforcement purposes. We will enjoy a collaborative environment where students will be challenged to take risks, assess the results of their problem-solving skills, and be exposed to alternative techniques. The teacher encourages students to ask questions which they then attempt to resolve, while receiving guidance.
Learning Goals
Students will reinforce their mental and number sense skills.Students will refine their Algebra skills.
Syllabus
6 Lessons
over 3 WeeksLesson 1:
Basic derivatives and techniques of integration.
We will review the Chain Rule, definite integrals, and implicit differentiation. 55 mins online live lesson
Lesson 2:
2nd-order derivates and the Fundamental Theorem of Calculus
We will review more advanced Algebra and Limit topics. 55 mins online live lesson
Lesson 3:
Area Between Curves
We will continue with more Algebra, include visual verification, and begin working on volume. 55 mins online live lesson
Lesson 4:
Revolutions, Piecewise Functions, and Trig
We will work through a piecewise function for continuity. 55 mins online live lesson
Other Details
Pre-Requisites
Students need to have successfully passed a year of Calculus (AP, IB, dual-enrollment, or standalone).
Supply List
Notebook and pencils. Desmos or WolfraphAlpha can be used in replacement of a handheld calculator. Webcam. Graphics/drawing tablet with stylus or ability to use mobile tablet as a drawing device. Broadband connection. Desktop or laptop (larger screens are easier to work with).
External Resources
In addition to the Outschool classroom, this class uses:
Sources
Various "circuits" that will be provided in class and that the teacher has purchased licenses for.
Joined September, 2023
Teacher expertise and credentials
Bachelor's Degree in Mathematics from Mesa State College AKA Colorado Mesa University
Hello! I taught university for nine years and have professionally tutored over 4300 hours of Prealgebra through Calculus 3.
I believe all my students are more than smart enough to learn and master the math in their life. Making mistakes is part of the adventure! The more the student does the more they will learn.
I love camping in the mountains with my imediate and extended family.Reviews
Live Group Course
$20
weekly2x per week, 3 weeks
55 min
Live video meetings
Ages: 15-18
3-12 learners per class
