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In this course, you will learn :
- What order do calculations happen — and does it matter?
- Work out the value and meaning of expressions when letters take the place of numbers.
- Before we can solve equations, we have to learn how to make them.
- Turn unknown values into known values with style.
- Use prime numbers to see how numbers are formed.
- Split numbers into their component parts by factoring.
- Work with expressions that use both multiplication and addition.
- Extract factors to turn sums into products.
- Reduce tedious calculation by rewriting expressions.
- See when and how to make expressions shorter.
- Simplify to quickly find which expression is larger.
- Combine the powers of simplification and the distributive property.
- Solve intuitive and fun puzzles that lead directly to solving equations.
- How do circle puzzles transform into algebraic equations?
- Undo the operations and work backward to find solutions.
- Move variables around to solve two-sided equations.
Syllabus :
1. Introduction
- Number Relationships
- Bar Models
- Variables
2. Variables and Notation
- Order of Operations
- Expressions
- Creating Equations
- Finding Unknowns
3. Factoring
- Primes
- Factorization
- The Distributive Property
- Common Factors
4. Simplification
- Evaluating Expressions
- Like Terms
- Comparing Expressions
- Problem Solving
5. Equations
- Circle Puzzles
- Circle Puzzles and Equations
- Solving Equations
- Both Sides
