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Pre-Algebra

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Pre-Algebra provided by Brilliant is a comprehensive online course, which lasts for 4 hours worth of material. Upon completion of the course, you can receive an e-certificate from Brilliant. The course is taught in Englishand is Paid Course. Visit the course page at Brilliant for detailed price information.

via Brilliant
4 hours worth of material
Self Paced
Overview

  • Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way.

    By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.

Syllabus

    • Introduction: Meet the visuals and concepts that will guide us through arithmetic to algebra.
      • Number Relationships: Start the road to algebra and solving equations by visualizing the relationships between numbers.
      • Bar Models: Use geometric figures to think strategically about arithmetic.
      • Variables: Why use letters in the place of numbers?
    • Variables and Notation: Master the art of math with letters.
      • Order of Operations: What order do calculations happen — and does it matter?
      • Expressions: Work out the value and meaning of expressions when letters take the place of numbers.
      • Creating Equations: Before we can solve equations, we have to learn how to make them.
      • Finding Unknowns: Turn unknown values into known values with style.
    • Factoring: Take numbers apart and put them back together.
      • Primes: Use prime numbers to see how numbers are formed.
      • Factorization: Split numbers into their component parts by factoring.
      • The Distributive Property: Work with expressions that use both multiplication and addition.
      • Common Factors: Extract factors to turn sums into products.
      • Problem Solving: Recap factoring and distribution while solving a variety of problems.
    • Simplification: Force the symbols to reveal their hidden meanings.
      • Evaluating Expressions: Reduce tedious calculation by rewriting expressions.
      • Like Terms: See when and how to make expressions shorter.
      • Comparing Expressions: Simplify to quickly find which expression is larger.
      • Problem Solving: Combine the powers of simplification and the distributive property.
    • Equations: Uncover the rules for solving equations.
      • Circle Puzzles: Solve intuitive and fun puzzles that lead directly to solving equations.
      • Circle Puzzles and Equations: How do circle puzzles transform into algebraic equations?
      • Solving Equations: Undo the operations and work backward to find solutions.
      • Both Sides: Move variables around to solve two-sided equations.
      • Problem Solving: Solve a variety of problems using everything you've learned in this course.

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