Developmental Mathematics
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 Appendix |
Section |
Topic |
Notes |
| Chp. 6 |
All |
Geometry |
|
| Appendix E |
|
Sets |
|
| |
|
Solving inequalities involving
Absolute Value |
Not in Text; Sample HW problems provided by Math
Division . |
| Chp. 9 |
All |
Graphs of Linear Equations |
|
| Chp. 13 |
All |
Systems of Equations (2 Equations; 2
Variables) |
|
| |
Systems of Equations (3 Equations; 3
Variables) |
Not in Text; Sample HW problems provided by Math
Division. |
| Appendix L |
|
Systems of Linear Inequalities |
|
| Chp. 11 |
11.8 |
Pythagorean Theorem |
|
| Chp. 15 |
All |
Quadratic Equations |
|
| Supplemental Chp. 8 |
All
(8.7 optional) |
Exponential and Logarithmic Functions |
|
MAT 101
Learning Outcomes and Standards
| Learning Outcome |
Standard(s) |
| 1. Apply technology to assist in
solving mathematical applications. |
1a/5a. Create a linear equation that models a
given problem and use this equation to find the solution to the problem
graphically, algebraically and with the assistance of technology.
1b/6c. Evaluate the system of linear equations and inequalities with
graphing technology (calculators or computers). |
| 2. Utilize triangular relationships
to model and solve applications. |
2a. Evaluate the lengths of sides and segments of
sides of triangles utilizing properties of congruence . 2b. Evaluate the
lengths of sides and segments of sides of triangles utilizing properties
of similarity. 2c. Evaluate the lengths of sides and segments of sides
of triangles utilizing Pythagorean Theorem. |
| 3. Evaluate geometric measurement
formulas following appropriate orders of operations . |
3. Represent a given problem with an appropriate
geometric figure ( circle , rectangle, sphere, etc.), identify the
appropriate quantity (perimeter, area, volume etc.) and apply the
appropriate formula to solve the problem. |
| 4. Define when a relation is a
function and discuss the domain and range relative to a function. |
4a. Given a function in symbolic or graphed form
state the domain and range of the function. 4b. Given relation pairs
state if the relation is a function. 4c. From a graph of a relation
utilize the Vertical Line Test to decide if the relation is a function. |
| 5. Construct linear models and graphs
given different representations of the function. |
1a/5a. Create a linear equation that models a
given problem and use this equation to find the solution to the problem
graphically, algebraically and with the assistance of technology.
5b. Given a graph of a linear function create the symbolic
representation of the function and use this model to project potential
function values. |
| 6. Solve systems of linear equations
and systems of inequalities in two variables . |
6a. Apply the two basic algebraic techniques,
substitution and elimination , to solve a simple linear system of
equations. 6b. Graphically represent the solution region of a linear
system of inequalities. 1b/6c. Evaluate the system of linear equations
and inequalities with graphing technology (calculators or computers). |
| 7. Apply multiple techniques of
solving systems of linear equations in three variables. |
7a. Solve systems of linear equations in three
variables with the Elimination Method. 1c/7b. Solve systems of linear
equations in three variables utilizing the graphing calculator or
computer software. |
| 8. Apply set theory terminology to
assist in solving problems. |
8a. Apply terms such as set, intersection, union,
disjoint, and empty to assist in solving inequalities, absolute value
inequalities and systems of inequalities in two variables. |
| 9. Apply the properties of exponents
and logarithms to simplify and solve problems. |
9a. Reduce the complexity of exponential and
logarithmic equations with the appropriate properties. 9b. Convert
logarithmic equations to exponential equations and vice versa. 9c. Apply
the appropriate form (exponential or logarithmic) to solve an equation. |
| 10. Describe and graph exponential,
logarithmic and inverse functions. |
10a. Graph an exponential or logarithmic function
and its inverse. 10b. Discuss the connections between the points of a
logarithmic or exponential function and its inverse. |
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