Mathematical Thinking
Learn to wield important tools in algebra, geometry, and number theory.
Level 1
Level 2
Level 3
Level 4
Level 5
Level 6
Level 7
Level 8
Up next
Infinity
Expand your mind with the paradoxes and beauties of infinity.
Course description
In this course, we'll introduce the foundational ideas of algebra, number theory, and geometry that come up in nearly every topic across STEM. You'll learn many essential problem solving techniques and you'll need to think creatively and strategically to solve each challenge. Each exploration is designed to push your mathematical skills to the next level. Math isn't about memorizing formulas, it's about problem solving. It's about looking at patterns and predicting the future of those patterns, and it's about solving complex problems by using deductive reasoning to turn them into simple ones.
Topics covered
- Algebraic Expressions
- Arithmetic Operators
- Cryptogram Puzzles
- Discount Finance
- Divisibility
- Divisibility Rules
- Logic Fundamentals
- Rates and Ratios
- Sequences
- The Distributive Property
- Variables
Prerequisites and next steps
This course is for anyone who remembers middle school math (basic algebra and fractions), and is ready for a refresher and new challenges on core mathematical concepts.