Module 1: Algebra Basics
Solidifying the foundational concepts of algebra from many perspectives of math, while opening you up to the creative, engaging and interactive style of our daily challenges
This course efficiently provides all of the Algebraic foundation that is needed to start learning all of the branches of math in our systematic course series. Algebra is so fundamental (and so commonly occurring in middle school math competitions) that our course series splits it into two modules: Algebra Basics (Module 1) and Algebra Tools (Module 4). Algebra Basics focuses on some of the richest (and most confusing) concepts around ratios and fractions, revealing deeper perspectives than what is normally seen in standard K–12 curriculum.
To take this course, students should have a solid background in Pre-Algebra and the willingness to concentrate on a single math problem for several minutes. A highly motivated student who has just completed Pre-Algebra will find this course challenging, but manageable with effort. A student who is currently doing well in Algebra 1 will also learn a lot from the course and will discover some interesting facets of math that they had never realized before. Not recommended for students who can already score 12+ on AMC 8. Still not sure if this is the right course? Feel free to contact us at course-consulting@poshenloh.com to discuss.
Day 1: Something to Think About
FREE PREVIEWDay 1: Challenge Explanation (1 of 3)
FREE PREVIEWDay 1: Challenge Explanation (2 of 3)
FREE PREVIEWDay 1: Challenge Explanation (3 of 3)
FREE PREVIEWDay 1: Your Turn
FREE PREVIEWDay 1: Your Turn Explanation (1 of 2)
Day 1: Your Turn Explanation (2 of 2)
Day 2: Something to Think About
Day 2: Challenge Explanation (1 of 4)
Day 2: Challenge Explanation (2 of 4)
Day 2: Challenge Explanation (3 of 4)
Day 2: Challenge Explanation (4 of 4)
Day 2: Your Turn
Day 2: Your Turn Explanation (1 of 2)
Day 2: Your Turn Explanation (2 of 2)
Day 3: Something to Think About
Day 3: Challenge Explanation (1 of 4)
Day 3: Challenge Explanation (2 of 4)
Day 3: Challenge Explanation (3 of 4)
Day 3: Challenge Explanation (4 of 4)
Day 3: Your Turn
Day 3: Your Turn Explanation (1 of 2)
Day 3: Your Turn Explanation (2 of 2)
Day 4: Something to Think About
Day 4: Challenge Explanation (1 of 4)
Day 4: Challenge Explanation (2 of 4)
Day 4: Challenge Explanation (3 of 4)
Day 4: Challenge Explanation (4 of 4)
Day 4: Your Turn
Day 4: Your Turn Explanation (1 of 2)
Day 4: Your Turn Explanation (2 of 2)
Week 1 Challenge: Try Your New Skills
Week 1: Help Us Learn More About Your Learning Experience
Day 5: Something to Think About
Day 5: Challenge Explanation (1 of 3)
Day 5: Challenge Explanation (2 of 3)
Day 5: Challenge Explanation (3 of 3)
Day 5: Your Turn
Day 5: Your Turn Explanation (1 of 1)
Day 6: Something to Think About
Day 6: Challenge Explanation (1 of 4)
Day 6: Challenge Explanation (2 of 4)
Day 6: Challenge Explanation (3 of 4)
Day 6: Challenge Explanation (4 of 4)
Day 6: Your Turn
Day 6: Your Turn Explanation (1 of 2)
Day 6: Your Turn Explanation (2 of 2)
Day 7: Something to Think About
Day 7: Challenge Explanation (1 of 4)
Day 7: Challenge Explanation (2 of 4)
Day 7: Challenge Explanation (3 of 4)
Day 7: Challenge Explanation (4 of 4)
Day 7: Your Turn
Day 7: Your Turn Explanation (1 of 2)
Day 7: Your Turn Explanation (2 of 2)
Day 8: Something to Think About
Day 8: Challenge Explanation (1 of 2)
Day 8: Challenge Explanation (2 of 2)
Day 8: Your Turn
Day 8: Your Turn Explanation (1 of 2)
Day 8: Your Turn Explanation (2 of 2)
Week 2 Challenge: Try Your New Skills
Week 2: Help Us Learn More About Your Learning Experience
Day 9: Something to Think About
Day 9: Challenge Explanation (1 of 2)
Day 9: Challenge Explanation (2 of 2)
Day 9: Your Turn
Day 9: Your Turn Explanation (1 of 4)
Day 9: Your Turn Explanation (2 of 4)
Day 9: Your Turn Explanation (3 of 4)
Day 9: Your Turn Explanation (4 of 4)
Day 10: Something to Think About
Day 10: Challenge Explanation (1 of 2)
Day 10: Challenge Explanation (2 of 2)
Day 10: Your Turn
Day 10: Your Turn Explanation (1 of 3)
Day 10: Your Turn Explanation (2 of 3)
Day 10: Your Turn Explanation (3 of 3)
Day 11: Something to Think About
Day 11: Challenge Explanation (1 of 3)
Day 11: Challenge Explanation (2 of 3)
Day 11: Challenge Explanation (3 of 3)
Day 11: Your Turn Explanation
Day 11: Your Turn Explanation (1 of 4)
Day 11: Your Turn Explanation (2 of 4)
Day 11: Your Turn Explanation (3 of 4)
Day 11: Your Turn Explanation (4 of 4)
Day 12: Something to Think About
Day 12: Challenge Explanation (1 of 3)
Day 12: Challenge Explanation (2 of 3)
Day 12: Challenge Explanation (3 of 3)
Day 12: Your Turn
Day 12: Your Turn Explanation (1 of 2)
Day 12: Your Turn Explanation (2 of 2)
Week 3 Challenge: Try Your New Skills
Week 3: Help Us Learn More About Your Learning Experience
Day 13: Something to Think About
Day 13: Challenge Explanation (1 of 2)
Day 13: Challenge Explanation (2 of 2)
Day 13: Your Turn
Day 13: Your Turn Explanation (1 of 5)
Day 13: Your Turn Explanation (2 of 5)
Day 13: Your Turn Explanation (3 of 5)
Day 13: Your Turn Explanation (4 of 5)
Day 13: Your Turn Explanation (5 of 5)
Day 14: Something to Think About
Day 14: Challenge Explanation (1 of 2)
Day 14: Challenge Explanation (2 of 2)
Day 14: Your Turn
Day 14: Your Turn Explanation (1 of 2)
Day 14: Your Turn Explanation (2 of 2)
Day 15: Something to Think About
Day 15: Challenge Explanation (1 of 4)
Day 15: Challenge Explanation (2 of 4)
Day 15: Challenge Explanation (3 of 4)
Day 15: Challenge Explanation (4 of 4)
Day 15: Your Turn
Day 15: Your Turn Explanation (1 of 4)
Day 15: Your Turn Explanation (2 of 4)
Day 15: Your Turn Explanation (3 of 4)
Day 15: Your Turn Explanation (4 of 4)
Day 16: Something to Think About
Day 16: Challenge Explanation (1 of 4)
Day 16: Challenge Explanation (2 of 4)
Day 16: Challenge Explanation (3 of 4)
Day 16: Challenge Explanation (4 of 4)
Day 16: Your Turn
Day 16: Your Turn Explanation (1 of 2)
Day 16: Your Turn Explanation (2 of 2)
Week 4 Challenge: Try Your New Skills
Congratulations on Completing This Course!
Week 4: Help Us Learn More About Your Learning Experience
The best way to build creative thinking skills is to play with challenging new problems every day, especially those for which you don’t know how to start. This course, which can be finished in 1 month, constitutes of 16 Daily Challenges and 4 Weekly Challenges. Each Daily Challenge has two related math problems and their explanations. Don’t worry if they look unfamiliar. Just use the whole time during the problem videos (and hints) to think. You’ll get to invent your own strategies, which is the fun part!
Even if you figure out how to do a problem yourself, watching its explanation video is still very beneficial. It will show multiple interesting ways to do the problem, and introduce deeper ideas in math using everyday language. This brings advanced math down to earth.
There is only one practice problem in each Daily Challenge (the “Your Turn” problem), and there aren’t any homework problems. This is because the way to learn how to solve the widest variety of problems is to learn how to invent your own solution methods! So, we encourage you to solve new problems all on your own instead of working on repetitive exercises. You’ll spend the same time on fewer problems, every one of which needs fresh creativity.
After every four Daily Challenges, we revisit the topics (with some twists), through a Weekly Challenge problem set that lets you focus uninterrupted for 40 minutes, on a variety of specially designed questions. After doing the problems, please read the explanations, even for the problems you solved. There are a lot of fun math coincidences and insights hidden in the problems.
We recommend pacing the course so that you can play with this flavor of mathematical thinking for a bit of time almost every day.
The standard pace is to pick four days each week for four Daily Challenges, plus one hour on the weekend for the Weekly Challenge. If you think this pace is not challenging enough, feel free to double the pace, so that you can finish eight Daily Challenges and two Weekly Challenge each week.
Po-Shen Loh
Math Professor