The Art of Problem Solving (AoPS)
AoPS gives 9th graders a deep, challenging math experience that builds real problem‑solving skills. Most students begin with Introduction to Algebra, though some may move into Geometry depending on readiness. The program focuses on understanding, creativity, and perseverance… helping students grow confident in higher‑level math.
OR
Families who prefer a lighter, story‑driven approach may enjoy Life of Fred, a narrative‑based math series that teaches concepts through humor and real‑life scenarios. It works well as a supplement for students who benefit from seeing math in everyday contexts or who enjoy independent reading alongside their main curriculum.
What’s the difference?
| AoPS (Art of Problem Solving) | LoF (Life of Fred) | |
| Overall Approach | Rigorous, problem‑solving–focused math designed to stretch students’ thinking and build depth. | Story‑based, whimsical math taught through the adventures of “Fred,” a child math professor. |
| Best Suited For | Students who enjoy challenge, puzzles, and digging deeply into how and why math works. | Less advanced students or Students who love stories, humor, and a gentle, low‑pressure way to meet math concepts. |
| Typical Starting Point for 9th graders | Introduction to Algebra (or Geometry for advanced students). | Life of Fred: Beginning Algebra (or earlier books for review and confidence‑building) |
| Teaching Style | Clear explanations followed by challenging problems that require creativity and perseverance. | Short, quirky chapters where math is woven into everyday situations in the story. |
| Student Independence | Moderate to high—students are expected to wrestle with problems and think things through. | High—students can usually read and work through the stories on their own with minimal parent help. |
| Workload | Heavier workload with multi‑step problems and regular cumulative review. | Light workload—most learning happens through reading; problem sets are shorter. |
| Strengths | Builds strong problem‑solving skills, prepares students for higher‑level math, and encourages mathematical maturity. Creates independent thinking strategies. | Makes math feel friendly and fun, reduces anxiety, and helps students see math in everyday life. |
| Limitations | Can feel intense or overwhelming for some learners, especially if they dislike struggle. | For advances students it usually works best as a supplement rather than a full, stand‑alone curriculum. For struggling students, it is suffice and creates a comfortable learning space to master problems. |
Monday –New Lesson & Examples
Students read the new chapter section, watch any included videos (if applicable), and work through the guided examples to understand the core concept.
Tuesday – Practice Problems
They complete a set of practice problems from the textbook, focusing on accuracy and showing clear steps.
Wednesday – Challenge Problems
Students attempt several of the more difficult problems to stretch their reasoning and deepen understanding.
Thursday – Review & Corrections
They revisit missed problems, rework tricky steps, and review notes to solidify the week’s concepts.
Friday – Mixed Review or Online Math Games
A short review set, online math games if caught up, or a few problems from earlier chapters to keep skills fresh.
Optional Math Supplements:
Escape Room: Algebra Edition
DragonBox Algebra
Hooda Math
Life Skills
All About Money
Adventure Academy