GAS 92 - Pre Tech / Med Lab Math II

Unit 1: Review

Unit 2: Operations with Rational Variable Expressions

Unit 3: Operations Involving Radicals

Unit 4: Perimeter Area and Volume

Unit 5: Logarithms

Unit 6: Trigonometry

Unit 1: Review

- Order of Operations - Introduction to Order of Operations (Remember Parenthesis means Brackets)
- Order of Operations - Example 1
- Order of Operations - Example 2
- Order of Operations - Example 3
- 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)

- 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
- Solving a Linear Equation Example 6

- 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 Coefficicent)
- Factoring a Trinomial with a Common Factor First
- Factoring a Perfect Square Trinomial
- Factoring a Difference of Squares
- Factoring Sums of Cubes
- Factoring Difference of Cubes

- Solving Quadratics by Factoring Example 1
- Solving Quadratics by Factoring Example 2
- Solving Quadratics by Factoring Example 3
- Completing the Square
- Rearranging a Quadratic Equation into Standard Form
- Solving a Quadratic Equation with the Quadratic Formula
- Introduction to the Discriminate
- The Discriminate of Quadratic Equations

- 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

Unit 2: Operations with Rational Variable Expressions

- 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
- Dividing a Polynomial by a Monomial 1
- Dividing a Polynomial by a Monomial 2

- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions Example 1
- Adding and Subtracting Rational Expressions Example 2
- Adding and Subtracting Rational Expressions Example 3
- Solving Rational Equations Example 1
- Solving Rational Equations Example 2
- Dividing a Polymonial by a Binomial
- Dividing Polynomials with Remainders

Unit 3: Operations Involving Radicals

- Radical Equivalent to Rational Exponents Example 1
- Radical Equivalent to Rational Exponents Example 2
- Simplifying Square Roots
- Finding Cube Roots
- Simplifying Cube Roots
- Simplifying Radical Expressions Example 1
- Simplifying Radical Expressions Example 2
- Simplifying Radical Expressions Example 3
- Simplifying Radical Expressions Example 4
- Simplifying Radical Expressions Example 5
- Radicals of Higher Roots

- Addition of Radical Expressions
- Subtraction of Radical Expressions
- Adding and Subtracting Radical Expressions
- Multiplying Rational Expressions Example 1
- Multiplying Rational Expressions Example 2
- How to Rationalize a Denominator

- Solving Radical Equations
- Extraneous Solutions of a Radical Equation
- Solving Radical Equations Example 1
- Solving Radical Equations Example 2
- Solving Radical Equations Example 3

Unit 4: Geometry: Area Volume and Area

- Angle Basics
- Acute, Obtuse and Right Angles
- Complementary (CA) and Supplementary Angles (SA)
- Sum of the Angles in a Triangle Theorem (SATT)
- Angles at the Intersection of Two Lines (OAT and SA)
- Parallel Lines and Transversals (TPTF and TPTC

- Congruent and Similar Triangles
- Equilateral and Isosceles Triangle Examples
- Similar Triangle Theory
- Pythagoreans Theorem Example 1
- Pythagoreans Theorem Example 2

- Perimeter and Area of Standard Polygons
- Perimeter and Area of Non-Standard Polygons
- Circles: Diameter, Radius and Circumference
- Area of a Circle
- Solid Volume Geometry
- Volume of a Sphere
- Volume and Surface Area of a Cylinder

Unit 5: Logarithms

- Introduction to Logarithms
- Properties of Logarithms 1
- Properties of Logarithms 2
- Using Logarithm Properties to Simplify Logarithm Expressions
- Change of Base Formula
- Solving Logarithmic Equations
- Natural Logarithms with a Calculator

Unit 6: Trigonometry

- Complementary and Supplementary Angles
- Sum of the Angle Theorem
- Pythagoreans Theorem
- Pythagoreans Theorem Example Problems
- Using SOH CAH TOA and Pythagoreans Theorem to Solve Right Angle Triangles Part 1
- Using SOH CAH TOA and Pythagoreans Theorem to Solve Right Angle Triangles Part 2
- Introduction to Scalars and Vectors
- Calculating Average Velocity and Speed

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