Precalculus

Discovery Precalculus: Preparation for Calculus

3 College Credits | UT Course Code: M 305G | TCCN Course: MATH 2312 | Core Code: 020

High School Course Prerequisites: Algebra II and Geometry

Two high school students work on an assignment together in the classroom.

Develop problem-solving and abstract thinking skills that apply far beyond the math classroom. 

The OnRamps Precalculus course empowers students to become creative, independent thinkers. Each unit is a series of explorations with emphasis on unpacking mathematical definitions and making logical arguments.

This course deepens and extends students’ knowledge of functions, graphs and equations, and prepares students for a university-level calculus course. The concepts learned also apply to the future study of other disciplines, including engineering, physics and more.

Course Structure

In this Inquiry-Based Learning course, each unit consists of a series of explorations designed to engage students and build problem-solving skills. Students take the lead in collaboration with their peers to engage in each exploration.

Big Ideas

  • Thinking like a mathematician 
  • Functions and patterns 
  • Algebra and geometry 
  • Exponential and logarithmic functions 
  • Trigonometry 
  • Rates of change and limits 
  • Exploring parametric and polar systems 
  • Sequences and series 

What Students Gain

  • Deeper understanding of how and why a function works 
  • A firm foundation for calculus and other future college-level coursework 
  • Connections between precalculus and previously learned algebra and geometry concepts 
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What Students Say

"[OnRamps Precalculus] challenged me to go beyond the surface level of math and really dive deep to understand it.” 

Earn transferable college credit!