Description
Calculus Course Description
This class is approved by the NCAA.
Calculus is the study of functions using a powerful new set of tools: limits, derivatives, and integrals. In this course, students learn not only how these tools work, but why they matter and how they are used to make sense of the world around us.
Calculus was originally developed to better understand motion, change, and physical systems. In that same spirit, students in this course will explore real applications of calculus to discover why it is such an essential subject in science, engineering, economics, and beyond.
Live sessions focus on discussion, sense-making, and guided exploration, while weekly asynchronous activities give students time to practice, reflect, and deepen understanding at their own pace.
A strong emphasis is placed on conceptual understanding. Students are supported in understanding not just what to do or how to do it, but why the mathematics works. Throughout the course, students will make connections between multiple representations of functions, including symbolic expressions, graphs, tables, written explanations, and models.
In addition to mathematical content, students will build essential learning skills such as:
- Clear mathematical communication (spoken and written)
- Critical thinking and problem-solving
- Reflection and revision of ideas and solutions
- Making connections between concepts
- Collaboration and productive struggle
- Developing a confident growth mindset in mathematics
By the end of the course, students will have a strong foundation for university-level calculus and a deeper appreciation for how calculus is used to understand and model real-world situations.
Grade Levels
- 10th – 12th grade
Prerequisites
- Successful completion of Algebra 2 required
- Successful completion of PreCalculus required
Required Material
- Math XL
- Desmos
- TI-83+ or higher graphing calculator
- Computer access required during the week
- Screen recording tools on computer (Windows and MacOS have screen recording tools built in, or there are other free online tools like Loom) to explain understanding of mathematical ideas
Course Outline
- Limits and Continuity
- Derivatives
- Contextual Applications of Derivatives
- Analytical Applications of Integration
- Integration and Accumulation of Change
Estimated Workload
- 5-10 hours weekly





