﻿ MAP 103 : Proficiency Algebra

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# MAP 103 : Proficiency Algebra

Schedule by Week
1. 4.2 Addition of Polynomials
• Day 1 (Polynomials: Basic Definitions, Addition of Polynomials)
• Day 2 (Subtraction of Polynomials, Polynomial Functions)
2. 4.3 Multiplication of Polynomials
• Day 3 (Multiplying Polynomials, Special Cases: Difference of Squares & Perfect Squares
• Day 4 (Translations involving Polynomials, Applications with a Product of Polynomials
3. 4.3 Multiplication of Polynomials
1. Multiplying Polynomials
2. Special Case Products: Difference of Squares and Perfect Square Trinomials
3. Translations involving Polynomials
4. Applications Involving a Product of Polynomials
4. 4.5 Greatest Common Factoring
1. Factoring Out the Greatest Common Factor
2. Factoring Out a Negative Factor
3. Factoring Out a Binomial Factor
4. Factoring by Grouping
5. 4.6 Trinomial Factoring
1. Factoring Trinomials: AC-Method
2. Factoring Trinomials: Trial-and-Error Method
3. Factoring Perfect Square Trinomials
4. Factoring by Using Substitutions
6. 4.8 Solving Quadratic Equations
1. Solving Equations by Using the Zero Product Rule
2. Applications of Quadratic Equations
3. Definition of a Quadratic Function
4. Applications of Quadratic Functions
7. 5.3 Addition of Rational Expressions
1. Addition & Subtraction of Rational Expressions w/ Like Denominators
2. Least Common Denominator
3. Equivalent Rational Expressions
4. Addition & Subtraction of Rational Expressions w/ Unlike Denominators
8. 5.4 Complex Fractions
1. Simplifying Complex Fractions by Method I
2. Simplifying Complex Fractions by Method II
3. Using Complex Fractions in Applications
9. 5.5 Solving Rational Equations
1. Solving Rational Equations
2. Formulas Involving Rational Equations
10. 2.2 Slope
1. Introduction to the Slope of a Line
2. The Slope Formula
3. Parallel and Perpendicular Lines
4. Applications and Interpretation of Slope
11. 2.3 Linear Equations
1. Slope-Intercept Form
2. The Point-Slope Formula
3. Equations of a Line: A Summary
12. 2.6 Functions
1. Definition of a Function
2. Vertical Line Test
3. Function Notation
4. Finding Function Values from a Graph
5. Domain of a Function
13. 7.5 Parabolas
1. Writing a Quadratic Function in the Form f(x) = a(x-h)² + k
2. Vertex Formula
3. Determining the Vertex and Intercepts of a Quadratic Function
4. Applications and Modelling of a Quadratic Functions
14. 8.1 Composition of Functions

### Participation

These are some problems for you to work through in order to understand the material.

Classwork (3t³ + 2t² - 5t) + (t³ - 6t) (⅔w² - w + 1/8) + ((4/3)w³ + 8w - ¼) 1. Watch Opposite of a Polynomial.2. Find the Opposite of 5a - 2b - c.