Mathematical Thinking
Learn to wield important tools in algebra, geometry, and number theory.
Level
1
Comparing Fractions
Practice Comparing Fractions
Comparing Speeds
Practice Comparing Speeds
Fractions and Fractals
Practice Fractions and Fractals
Compounding Growth
Practice Compounding Growth
Level
2
Strategic Arithmetic
Dissecting Numbers
Divisible by 3
Building Numbers to Spec
Level
3
Compare the Pair
Compound Interest
Probability
Level
4
Generalizing
Magical Variables
Reverse Engineering Arithmetic
Sums and Symmetry
How Much Altogether?
Cryptogram Challenges
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.
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