GAS 83 - Pre Tech / Med Lab Math I

Unit 1: Review

Unit 2: Exponents and Polynomials

Unit 3: Factoring and Operations with Rational Expressions

Unit 4: Graphing and Solving Systems of Equations

Unit 5: Basic Geometry and Trigonometry of Right Triangle

Unit 1 Review

- Introduction to Number Sets
- Number Sets Example 1
- Number Sets Example 2
- Intro to Multiplication
- Multiplication as groups of objects
- More on the concept of Multiplication
- Multiplication Tables
- Multiple Digit Multiplication
- The Idea of Division
- Long Division Review
- Integers Review - Adding Negative Numbers
- Integers Review - Adding Numbers with Different Signs
- Integers Review - Adding and Subtracting Negative Numbers
- Multiplying Positive and Negative Numbers
- Dividing Positive and Negative Numbers
- Exponents Review - Understanding Exponents 1
- Exponents Review - Understanding Exponents 2
- Exponents Review - Level 1
- Absolute Value of Integers
- Order of Operations - Introduction to Order of Operations (Remember Parenthesis means the same thing as Brackets)
- Order of Operations - Example 1
- Order of Operations - Example 2
- Order of Operations - Example 3

- Proper and Improper Fractions
- Equivalent Fractions
- Converting Mixed Numbers into Improper Fractions
- Converting an Improper Fraction into a Mixed Numbers
- Fractions in Lowest Terms
- Adding Fractions with Same Denominators
- Finding a Common Denominator
- Prime Factorization
- Adding Fractions with Different Denominators
- Adding Mixed Numbers with Different Denominators
- Subtracting Fractions
- Subtracting Mixed Numbers
- Multiplying Fractions
- Multiplying Mixed Numbers
- Dividing Fractions
- Dividing Mixed Numbers
- Adding Polynomials
- Subtracting Polynomials
- Multiplying Monomials by Monomials
- Multiplying Monomials by Polynomials
- Solving a Linear Equation Example 1
- Solving a Linear Equation Example 2
- Solving a Linear Equation Example 3
- Solving a Linear Equation Example 4
- Solving a Linear Equation Example 5
- Evaluate a Formula using Substitution
- Rearrange a Formula to Isolate a Specific Variable
- Word Problem Example
- Representing a Number as a Decimal, Fraction and Percent Example 1
- Representing a Number as a Decimal, Fraction and Percent Example 2
- Representing a Number as a Decimal, Fraction and Percent Example 3
- Percent Problem Example 1
- Percent Problem Example 2
- Percent Problem Example 3

Unit 2: Exponents and Polynomials

- Law of Exponents: Multiplication (LEM)
- Law of Exponents: Division (LED)
- Law of Exponents: Powers (LEP)
- Simplifying Rational Expressions Using Exponent Laws - Example
- Law of Exponents: Extension of LEP 1
- Law of Exponents: Extension of LEP 2
- Law of Exponents: Negative Exponents
- Simplifying Expressions with Exponents Example 1
- Simplifying Expressions with Exponents Example 2
- Simplifying Expressions with Exponents Example 3
- Scientific Notation Examples
- Converting Decimal Number into a Number in Scientific Notation
- Multiplying in Scientific Notation
- Scientific Notation Word Problem
- Terms and Exponents in a Polynomial
- Simplifying a Polynomial (collecting like terms)
- Adding Polynomials
- Subtracting Polynomials
- Multiplying Monomials
- Multiplying Monomials by Polynomials
- Multiplying Binomials
- Multiplying Polynomials
- Binomial Squared (Special Products in Algebra)
- Difference of Squares (Special Products in Algebra)

Unit 3: Factoring and Operations with Rational Expressions

- Finding The Greatest Common Factor (GCF)
- More GCF Examples
- Common Factoring Example
- More Common Factoring Examples
- Factoring Easy Trinomials (Trinomial with a Leading One Coefficient)
- Factor by Grouping (Triple Common Factor)
- Factoring Hard Trinomials (Trinomials with a Non-One Coefficient)
- Factoring a Trinomial with a Common Factor First
- Factoring a Perfect Square Trinomial
- Factoring a Difference of Squares

- Restrictions of a Rational Expression (when he writes the domain, the numbers that are not allowed are the restrictions)

Unit 4: Graphing and Solving Systems of Equations

- Coordinates of the Cartesian Plane
- Substituting Values into a Variable
- Solving for a Variable in an Equation

- Graphing by the Use of a Table of Values
- Graphing a Linear Function by the X and Y Intercept Method
- Graphing a Linear Function (Line) by the Slope Y-Intercept Method Example 1
- Graphing a Linear Function (Line) by the Slope Y-Intercept Method Example 2
- Graphing a Quadratic Function (Parabola) by Use of a Table of Values

- Finding Slope from a Graph
- Finding Slope When Given Two Points (or Ordered Pairs) Example 1
- Finding Slope When Given Two Points (or Ordered Pairs) Example 2
- Determining if Two Lines are Parallel or Perpendicular

- Finding the Mid-Point of a Line
- Finding the Length of a Line Segment or Finding the Distance Between Two Points (Distance Formula)

- Rearranging a Quadratic Equation into Standard Form
- Solving a Quadratic Equation with the Quadratic Formula

- Checking if a Point is (or is not) a Solution in a Linear System
- Solving Linear Systems by Graphing
- Solving Linear Systems by Substitution Method Example 1
- Solving Linear Systems by Substitution Method Example 2
- Solving Linear Systems by Elimination (Addition) Method Example 1
- Solving Linear Systems by Elimination (Addition) Method Example 2

Unit 5: Basic Geometry and Trigonometry of Right Triangle

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