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
|Chp. 8||8.3||Solving Linear Equations|
|8.5||Applications of Percent|
|8.6||Applications and Problem Solving|
|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|
Learning Outcomes and Standards
|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
|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
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.|