Algebra I (Problem-Solving Approach)

Full-year course. Algebra I prepares the student for challenging upper-level courses such as Algebra 2, Number Theory, Geometry, and other exciting classes. This course focuses on problem-solving, logic, and engagement with upper-level math to foster in-depth understanding and enjoyment. The course will strengthen the student’s ability to wrestle with tough problems and explain answers in words. Topics include but are not limited to: evaluation of multi-variable expressions, distribution and factoring, single and multi-variable linear equations, ratios and percents, direct, inverse, and joint proportion, graphing lines using slope formula, intercepts, inequalities, and quadratic equations. Students are expected to come to class prepared to discuss problems and to work individually and in groups to solve assigned problems. This course, similar to other AoPS courses, 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: Completion of WTMA Pre-Algebra (Problem-Solving Approach);  Algebra I Readiness Test. Students who wish to switch to Algebra I (Problem-Solving Approach) from another curriculum are encouraged to take the summer course Bridge to Algebra I.

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Algebra I (Problem-Solving Approach) Information

  • Example Syllabus
  • Class meets three times a week for 50-55 minutes, or twice per week for one hour and fifteen minutes.
  • Class cap: 15 students.
  • Designed for grades 7-10.
  • Students may be awarded 1 Mathematics credit upon completion of this course. Course may be listed as “honors” on transcript.

Course Materials

  • Click here to purchase the course texts.
    • Art of Problem Solving Introduction to Algebra
      • This text is used for both AoPS Algebra I and AoPS Algebra II.

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