Pre-Calculus (Problem-Solving Approach)

Full-year course. Pre-Calculus (Problem-Solving Approach) fully integrates topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, high-school level students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. Conceptually oriented problems that help prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. This course emphasizes learning how to solve difficult problems.  Students are allowed, and encouraged, to attempt problems multiple times until they master the concept. Read about the Well-Trained Mind Academy approach to Art of Problem Solving here. 

Prerequisite: Algebra II (Problem-Solving Approach) or a similar rigorous or honors level Algebra 2 course; Geometry; AoPS Pre-Calculus pre-test.




I would recommend this course for students who really love math and grappling with challenging proofs. From the way the class is set up, it is assumed that you will need several attempts over a period of a week to complete assignments. The instructor gives feedback after the first two attempts, which I think is an amazing way to learn.
- Student Course Evaluation




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    Pre-Calculus (Problem-Solving Approach) Information




    • Example Syllabus
    • Class meets three times per week for 50-55 minutes.
    • Class cap: 15 students.
    • Designed for grades 9-12.
    • High school students may be awarded 1 Mathematics credit upon completion of this course. Course may be listed as “honors” on transcript.
    • Taught by Sheryl Clayton

    Course Materials




    • Click here to purchase the course text.
      • Art of Problem Solving Pre-Calculus, 2nd Edition


    Expand for More Course Resources


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