Course Description

This intensive course provides a rigorous foundation in the essential mathematical toolkit required for calculus success. Focused primarily on AP Precalculus Units 1-3, students will master advanced function analysis, modeling, and transformation. The curriculum is designed to build deep conceptual understanding and procedural fluency, ensuring students are exceptionally well-prepared for their next steps in mathematics.

Essential Questions

  • How do the algebraic and graphical representations of a function reveal its core behavior and properties?
  • How can we model real-world change by strategically choosing and transforming function families?
  • How does function composition create new relationships, and what does an inverse function reveal about the original?
  • In what ways do trigonometric functions model periodic phenomena, and how do their unique properties (identities, periodicity) provide tools for analysis?
  • How does shifting between different mathematical perspectives enhance our understanding of relationships and graphs?

Other Information

  • Students will be required to bring a laptop or similar device. The Robinson Center can provide a device if your student does not have access.
  • This course required quite a bit (approximately 5 hrs a week) of homework to be completed outside of the program day. 

Who Should Apply

  • Students currently in 7th, 8th, 9th, or 10th grade
  • This course requires documentation of completion of Algebra II.

Week Overview

Date Theme/Topic 
Week 1 Building the Core Toolkit: This foundational week establishes fluency in the language of functions, covering linear and quadratic modeling, complex numbers, and function composition to build the essential algebraic skills for the course.
Week 2 Mastering Function Families & Transformations: Students dive deep into analyzing and transforming core function families, including polynomials, exponentials, logarithms, and their inverses, to understand advanced graphical behavior and growth models
Week 3 Introducing Trigonometric Concepts: The focus shifts to trigonometry, exploring radian measure, the unit circle, identities, and the graphs of sinusoidal functions to establish a foundation for modeling periodic phenomena.
Week 4                                     Applying Trigonometry & Course Synthesis

The final week applies trigonometry to solve equations and real-world problems using the Laws of Sines/Cosines; culminating in a comprehensive review and final exam.

Instructors

  • TBD

Details

Cost

  • $1450
    • $1400 (tuition)
    • $50 (registration fee)

Time

9am - 2:30pm

Location

  • University of Washington Seattle Campus
  • Building and Room TBD

Date

  • June 30th- July 23rd, 2026
  • Monday - Thursday
    • First Class is on a Tuesday

Refund and Transfer Deadlines

  • Full tuition refund: April 10th
  • 50% tuition refund: April 11th-May 8th
  • No refund: after May 8th