Mathematical Fundamentals
Learn the essential tools for mastering algebra, logic, and number theory.
Generalize
Rewrite, Rethink, Redraw
Thinking Forwards and Backwards
Reasoning from Results to Cause
Werewolves of London
Eliminating the Impossible
A Treasure Hunt
Mad Hatter Puzzles
Repairing Broken Puzzles
Strategic Arithmetic
Dissecting Numbers
Divisible by 3
Building Numbers to Spec
Numerical Logic
Compare the Pair
Understanding Fractions
Probability
Compound Interest
Magical Variables
Reverse Engineering Arithmetic
Sums and Symmetry
How Much Altogether?
Cryptogram Challenges
Pythagoras' Theorem
The Distributive Property
Difference of Squares
Difference of Squares Challenges
The Quadratic Formula
Course description
In this course, we'll introduce the foundational ideas of algebra, number theory, and logic that come up in nearly every topic across STEM. This course is ideal for anyone who's either starting or re-starting their math education. 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.