Algebra I (AoPS)

Course Description


Full-year course. Algebra 1 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. Read about the Well-Trained Mind Academy approach to Art of Problem Solving here. 

Prerequisite: Completion of WTMA AoPS Pre-Algebra or AoPS Algebra 1 & 2; Art of Problem Solving Introduction to Algebra Pretest.

Example Syllabus (Download the PDF)

Required texts:

  • Rusczyk, Richard, Introduction to Algebra. Alpine, CA: Art of Problem Solving Incorporated, 2010. ISBN 9781934124147 
    *This text is used for both AoPS Algebra I and AoPS Algebra II. This course will cover chapters 1 – 10.
  • Kumon, Algebra. Teaneck, NJ: Kumon Publishing North America, 2016. ISBN 9781941082584

Recommended Text:

  • Rusczyk, Richard; Introduction to Algebra Solutions Manual. Alpine, CA: Art of Problem Solving Incorporated, 2010. ISBN 9781934124154

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 in grades 9-12 may be awarded 1 Mathematics credit upon completion of this course.