MA 98 - Elementary Algebra

1. Formulate mathematical models to express mathematical relationships or model phenomenon in the world.
2. Analyze and identify inequality, equation or expression types to identify appropriate methods with which to solve and/or simplify them.
3. Utilize algebraic methods to find solutions to symbolic and applied inequalities, equations and expressions.
4. Interpret quantitative results in context of mathematical relationships and/or phenomenon in the world.
5. Identify and discern the difference between linear and non-linear relationships
6. Translate relationships across verbal, tabular, symbolic, or graphical forms to illustrate multiple representations.
7. Evaluate information presented in verbal, tabular, symbolic, or graphical form to calculate, identify, and interpret: points, slopes, equations and intercepts of a linear equation in two variables.
8. Utilize graphing, substitution, and addition/elimination methods to identify solution types and to find quantitative solutions to symbolic and applied systems of equations.
9. Identify, perform operations with, and factor polynomials.
10. Solve linear, quadratic and rational equations.
11. Simplify polynomial, rational and radical expressions.
12. Assess personal progress in learning how to learn math.
13. Effectively organize communications, ensuring there is a clear introduction and conclusion, the content is well-sequenced and there are appropriate transitions.(CS2)
14. Create and/or organize data and information into meaningful patterns in order to interpret and draw inferences from it.(CT3)

A. Sets of Numbers and Absolute Value​

B. Constants, variables, terms, expressions and equations

C. Geometry Review

D. Addition and Subtraction as inverses

E. Multiplication and Division as inverses

F. Algebraic Expressions and Properties of Real Numbers

II. Rules of Exponents and Order of Operations

A. Review Exponents and Order of Operations

B. Negative exponents as division (Multiplicative inverse)

C. The Product Rule and Power Rules

E. The Quotient Rule

F. Scientific Notation

G. Unit Analysis

III. Linear Equations and Inequalities in One Variable

A. Solving Linear Equations

B. Applications of Linear Equations

1. Applications of mathematical relationships

2. Applications Involving Percents

3. Geometry Applications

4. Applications of Linear Equations as Proportions

C. Solving Formulas

D. Linear Inequalities in One Variable

E. Compound Inequalities in One Variable

IV. Linear Equations in Two Variables and Functions

A. Introduction to Linear Equations in Two Variables

B. Graphing by Plotting Points and Finding Intercepts

C. The Slope of a Line

D. The Slope-Intercept Form of a Line

E. Parallel and Perpendicular Slopes

F. Applications and Writing the Equation of a Line

G. Introduction to Functions

V. Solving Systems of Linear Equations

A. Solving Systems by Graphing

B. Solving Systems by the Substitution Method

C. Solving Systems by the Elimination Method

E. Applications of Systems of Two Equations

VI. Radicals and Rational Exponents

A. Evaluating Roots of real numbers

B. Translating roots to rational exponents

C. Simplifying Expressions Containing Square Roots

D. Adding, Subtracting, and Multiplying Expressions Containing Square Roots

VII. Operations with Polynomial

A. Addition and Subtraction of Polynomials

B. Multiplication of Polynomials

C. Division of Polynomials

VIII. Factoring Polynomials

A. The Greatest Common Factor and Factoring by Grouping

B. Factoring Trinomials of the Form ax²+bx+c 

C. Factoring Special Trinomials and Binomials

D. Factoring Polynomials

IX. Quadratic Equations

A. Solving Equations by Factoring

B. Solving Equations by the Square Root Property

C. Solving Equations by the Quadratic Formula

D. Applications of Quadratic Equations

E. Graphing Quadratic Functions

Facilitated discussion: 0-100%

Mediated instruction: 0-100%

Collaborative learning: 0-100%

Technology supplemented learning: 0-100%

 
Mandatory Course Components:
None
Equivalent Courses:
None

Assessment of Mathematical Communication and Learning Portfolio is 10-20% of the grade – required components of the portfolio are common to all sections taught.