Chapter or
Appendix |
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 |
|
| 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
expressions. |
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. |