NCTM | Algebra 1 Basic Curriculum Guide | Educational Math Videos

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Algebra 1
Basic Curriculum Guide

I. Numeration in Algebra
- A. Real Numbers
  - 1. Rational Numbers
    - a. Fractions
    - b. Decimals
    - c. Integers
  - 2. Irrational Numbers
  - 3. Absolute Value
  - 4. Properties of Real Numbers
- B. Imaginary Numbers
- C. Factors & Multiples
  - 1. Table of Factors
  - 2. Finding Factors of 126
  - 3. Prime Number Definition
  - 4. Prime Factorization
  - 5. Prime Factorization: 2 through 15
  - 6. Multiplication Table
  - 7. Identifying Multiples
  - 8. Multiples
  - 9. Finding Common Multiples
  - 10. Common Multiple Puzzle: #1
  - 11. Common Multiple Puzzle: #2
  - 12. Common Multiple Puzzle: #3
  - 13. Common Multiple Puzzle: #3 on the Computer
  - 14. Factoring Trinomials: Part 1
  - 15. Factoring Trinomials: Part 2
  - 16. Factoring: Difference of Two Squares
  - 17. Solving Quadratic Equations: Factoring
- D. Exponents (Powers) & Roots
  - 1. Working with Exponents
  - 2. Exponents: Defining
  - 3. Exponents: x^ax^b Rule
  - 4. Exponents: (x^a)^b Rule
  - 5. Exponents: (xy)^a Rule
  - 6. Exponents: (x/y)^a Rule
  - 7. Exponential Growth
  - 8. Finding Square Roots
  - 9. Square Roots: Multiplying & Dividing
  - 10. Simplifying Square Roots √ XY = √ X · √ Y
  - 14. Simplifying Square Roots √ a/b = √ a / √ b
  - 15. Simplifying Square Roots (√ b² ) = b
  - 16. Simplifying Square Roots √ y² = | y |
  - 17. Exponents: xº = 1 Rule
    1/x^-n = xⁿ Rule
  - 18. Exponents with Manipulative
  - 19. Place Value with Exponents
  - 20. Using “How Much is a Million?”: Part 1
  - 21. Using “How Much is a Million?”: Part 2
  - 22. Exponential Relationships
  - 23. Exponential Relationships Continued
  - 24. Exponential Relationships on the Computer
  - 25.Extending “The King‚s Chessboard”: Part 1
  - 26. Scientific Notation
  - 27. Logarithms
    - a. Logarithms: Intro
    - b. Multiplication Using Logs
    - c. Division Using Logs
    - d. Common Logs
- E. Simplifying Algebraic Fractions
  - 1. Intro: Simplifying Algebraic Fractions
  - 2. Simplifying Algebraic Fractions: Monomials Part 1
  - 3. Simplifying Algebraic Fractions: Monomials Part 2
  - 4. Simplifying Algebraic Fractions: Binomials Part 1
  - 5. Simplifying Algebraic Fractions: Binomials Part 2
  - 6. Simplifying Algebraic Fractions: Binomials Part 3
  - 7. Simplifying Algebraic Fractions: Difference of Two Squares

II. Expressions in Algebra
- A. Variables
  - 1. Translating English to Algebra
  - 2. Countdown Challenge: The Language of Algebra
  - 3. Variables: Defined
  - 4. Variables: Equivalents
  - 5. Variables: Properties
  - 6. Variables: Puzzle
  - 7. Substitution Principle: Part 1
  - 8. Substitution Principle: Part 2
  - 9. Substitution Practice
- B. Coefficients
  - No movies are available at this time.
- C. Polynomials
  - 1. Simplification 1
  - 2. Simplification 2
III. Computation in Algebra
- A. Order of Operations
  - 1. Order of Operations
  - 2. Order of Operations: Word Problem
  - 3. Order of Operations: Word Problem Solution
- B. Proportional Reasoning
  - 1. Ratios
    - a) Intro to Rate
    - b) Rate is a Ratio
  - 2. Proportions & Percent
  - 3. Probability
  - 4. Measures of Central Tendency: Mean, Median, Mode
  - 5. Variation
- C. Factoring Polynomials
IV. Inequalities
- A. Writing Inequalities
  - 1. Intro to Inequalities: Part 1
  - 2. Intro to Inequalities: Part 2
  - 3. Algebraic Intro to Inequalities
- B. Graphing Inequalities
  - 1. Graphing Inequalities: Part 1
  - 2. Graphing Inequalities: Part 2
- C. Solving Inequalities
  - 1. Solving: x + 4 > 6
- D. Systems of Inequalities
  - 1. Solution set: x < −2 and x ≥ 1
  - 2. Solution set: −3 ≤ x > 3
V. Linear Equations
- A. Writing Linear Equations
  - 1. From Truth Table to Linear Graphs
  - 2. Intro to Y Intercept & Slope
- B. Graphing Linear Equations
  - 1. Vocabulary: Graphing Lines
  - 2. Comparing Slopes
  - 3. Using y=mx+b: Runner 1
  - 4. Using y=mx+b: Runner 2
  - 5. Graphing: y=2/3+0
  - 6. Graphing: y=3/2+0
  - 7. Graphing: y=2x+0; y=3x+0
  - 8. Graphing Negative Linear Equations
- C. Solving Linear Equations
VI. Functions
- A. Kinds of Functions
  - 1. Function Vocabulary
  - 2. Functions: Stacking Cups Part 1
  - 3. Functions: Stacking Cups Part 2
  - 4. Countdown Challenge: Using Functions
  - 5. Using Functions
  - 6. Countdown Challenge: Functions
  - 7. Functions on the Computer
  - 8. Intro to Summation Notation
  - 9. Summation Notation
  - 10. Countdown Challenge: Summation Notation
- B. Graphing Functions
  - 1. Intro to Truth Tables & Graphing
  - 2. Function Tables
  - 3. Graphing Functions on the Computer
- C. Solving Functions
  - 1. Guess My Function
VII. Systems of Equations
- A. Solving By Graphing
- B. Solving by Substitution
- C. Solving by Linear Combination (Elimination)
VIII. Quadratic Equations
- A. Writing Quadratic Equations in Standard Form
  - 1. Defining Quadratic Equations
  - 2. From Truth Table to Quadratic Graphs
  - 3. Game of Matching Equations
  - 4. Matching Labels and Formulas
  - 5. Matching Pictures to Labels and Formulas
  - 6. Measuring Earthquakes
- B. Graphing Quadratic Equations
  - 1. Graphs: You Can Be One
  - 2. Graphs: Matching Labels, Formulas & Pictures
  - 3. Graphing Negative Quadratic Equations
- C. Solving Quadratic Equations
  - 1. Solving Quadratic Equations
  - 2. Solving Quadratic Equations by Graphing
  - 3. Solving Cubic Equations by Graphing
  - 4. Relating Factors to Graphs of Quadratic Equations
  - 5. Solving Quadratic Equations: Factoring