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Developmental Mathematics Course Information

Sections to Cover

This textbook contains TWO (2) Chapter 8s. To designate, the Chapter 8 in the back of
the book will be referred to as Supplemental Chp. 8

Chapter or
Section Topic Notes
Chp. 8 8.3 Solving Linear Equations  
8.4 Formulas  
8.5 Applications of Percent  
8.6 Applications and Problem Solving  
8.7 Solving Inequalities  
8.8 Applications and Problem Solving with Inequalities  
Chp. 9 All Graphs of Linear Equations  
Appendix G   Finding Equations of lines: Point-Slope Equations  
Chp. 10 All Polynomials: Operations  
Chp. 11 11.1 Introduction to Factoring  
11.2 Factoring trinomials of the type x2 + bx + c  
11.3 FOIL Method of Factoring  
11.4 The ac Method of Factoring  
11.5 Factoring Trinomial Square and the Difference of Squares  
Appendix F   Factoring Sums or Differences of Cubes  
Chp. 12 12.1 Multiplying and Simplifying Rational Expressions  
12.2 Division and Reciprocals  
12.3 Least Common Multiples and Denominators  
12.4 Adding Rational Expressions  
12.5 Subtracting Rational Expressions  
12.9 Direct and Inverse Variation  

MAT 092
Learning Outcomes and Standards

Learning Outcome Standard(s)
1. Perform the basic operations with polynomials. 1a. Apply appropriate rules to add, subtract, multiply and divide two or more polynomials.

1b. From a list of algebraic terms, identify those terms that are like terms.

1c. Evaluate the sum, difference, product, and quotient of algebraic expressions by applying the appropriate rules of combining and multiplying.
2. Apply the laws of exponents. 2. Apply the appropriate laws of exponents to simplify problems involving the product and/or quotient of expressions with exponents and to express answers without any negative exponents.
3. Evaluate problems involving scientific notation. 3a. Covert numbers expressed as scientific notation to standard notation and vice versa.

3b. Solve problems with extreme values and express the solution in scientific notation.
4. Solve variation problems. 4. Apply the formulas for direct and inverse variation to set up and solve variation problems
5. Utilize various factoring techniques to completely
factor polynomials.
5a. Factor polynomials completely using the Greatest Common Factor and grouping techniques.

5b. Factor polynomials that are the difference of two perfect squares or the sum or difference of two perfect cubes.
6. Perform the basic operations with rational
6a. Add, subtract, multiply and divide rational expressions. 6b. Determine the domain and range of rational expressions.
7. Construct linear models and graphs given multiple
representations of the function.
7a. Given a set of data, construct a linear model and use it to describe trends and make predictions.

7b. Given a function represented as a table, graph, equation or verbal description, represent the function in the three other forms.
8. Describe the rate of change of a linear function. 8. Within an application describe the meaning of the rate of change of a function.