COURSE DESCRIPTION:
This course is the continuation of the phase 2 mathematics sequence. The first quarter consists of essentials, including, axioms of real numbers, the solution of first degree equations and inequalities, absolute value and factoring. The second quarter covers rational expressions and operations involving rational expressions, functions, graphs and linear equations in two variables. During the third quarter, the study of systems of linear equations, exponents, radicals, and imaginary and complex numbers will be covered. The fourth quarter will be devoted to the study of quadratic equations by formula, and a study of both exponential and logarithmic functions.

INSTRUCTIONAL MATERIALS:
TEXT: Algebra and Trigonometry: Structure and Method, Brown, Dolciani, Sorgenfrey, and Kane, Houghton Mifflin Company, 1992.

COURSE OBJECTIVES:
Upon completion of the course, the student should be able to:

1. State the properties of natural numbers, whole numbers, integers, rational numbers and real numbers
2. State the relations existing between the natural numbers, zero, whole numbers, negative numbers, integers, fractions, rational numbers, irrational numbers, and real numbers
3. Solve problems using the recognized order for performing the fundamental operations
4. Apply the basic operations
5. Represent a situation verbally with an algebraic expression.
6. State the meaning of “equation” and “inequality”
7. Solve equations and inequalities having one variable
8. State the difference between a conditional equation and an identity equation.
9. State the difference between absolute and conditional inequalities
10. Identify and solve the first-degree equations containing parameters
11. Evaluate a formula
12. State the meaning of compound sentenced with connectives “and” and “or”
13. State the equations and inequalities, witch include the absolute value of the variable
14. Graph the solution sets of equations, inequalities, and compound sentences
15. Multiply:
    a. A polynomial by a monomial
    b. Two binomials
    c. Two polynomials
16. Factor:
    a. A polynomial containing a monomial factor
    b. A trinomial which can be factored
    c. A trinomial which is a perfect square
    d. A binomial which is the sum or difference of two squares
    e. A binomial which is the sum or difference of two cubes
    f. A polynomial containing a binomial factor
    g. A polynomial whose terms can be grouped forming the difference of two squares
    h. A polynomial whose terms can be grouped forming a factorable quadratic trinomial
    i. A polynomial which lends itself to the use of the remainder and factor theorems
17. Find the lowest common multiple of two numbers
18. Solve:
    a. Linear equations which contain special products
    b. Quadratic equations which contain special products
    c. Quadratic equations which can be reduced to the form f(x) = 0 where f(x) is factorable.
19. Identify the fundamental principles of fractions
20. Reduce fractions to their lowest terms.
21. Perform the fundamental operations involving fractions
22. Simplify mixed expressions and complex fractions
23. Solve fractional equations
24. Solve verbal problems dealing with fractions
25. Define the word “proportions” and state its component parts
26. Use the basic theorems dealing with “the products of the means and the product of the extremes”
27. Solve the problems involving proportions
28. Represent any ordered pair of real numbers by a point in a plane and vice versa
29. Express a relation by listing its members, by a graph, by an equation or inequality
30. State and write the domain and range in a relation and function
31. Define and apply what is meant by a function
32. Identify and apply inverse relations and inverse functions
33. Use the symbol f(x) correctly and evaluate functions using functional notation
34. Graph relations expressed by equations or inequalities
35. Write the definition of a linear function
36. Graph the solution sets for compound sentences
37. Specify the x and y intercepts of a function or relation
38. Define and use the slope of a line
39. Use the slope-intercept form, y=mx+b
40. Derive the equation of a straight line by the following:
    a. Slope-intercept form
    b. Point-slope form
    c. Two-point form
41. Find the solution set of a set of two first degree equations in two variables:
    a. Graphically
    b. Algebraically, by addition-subtraction and substitution methods
42. Find the solution of a system of fractional equations
43. Find an algebraic solution of a set of first-degree equations with three variables
44. Find the graphical solution of a system of linear inequalities
45. Translate the words of verbal problems into a set of equations with as many equations as variables
46. State and use the rules of exponents
47. Define roots and radicals
48. Define and use positive rational exponents, zero and negative exponents
49. Simplify expressions with exponents
50. Simplify radicals by the use of the fundamental operations of addition, subtraction, multiplication and division with radicals
51. Rationalize a monomial or binomial denominator
52. Solve radical equations
53. Identify and graph complex numbers
54. Add, subtract, multiply and divide complex numbers
55. Define “quadratic function” and “quadratic equation” and understand the difference between the two expressions
56. Graph a quadratic function and find:
    a. The turning point of the graph
    b. The maximum and minimum values
    c. The intercepts
57. Solve incomplete quadratic equations by the square-root method
58. Solve complete quadratic equations by;
    a. Factoring
    b. Graphing
    c. Completing the square
    d. Quadratic formula
59. Use the disriminant to determine the nature of the solutions of a quadratic equation
60. Form quadratic equations when the solutions are given
61. Determine the distances between two points in a plane, and find the coordinates of the midpoint of the segment
62. Graph quadratic inequalities and solve quadratic inequalities in one variable
63. Solve problems involving inverse, joint, and combined variation.
64. Solve algebraically systems of equations when:
    a. One is a linear and one is a quadratic
    b. Both equations are of the form Ax2+By2=C
    c. All the terms containing the variables in both equations are of the second degree.
65. Solve word problems using quadratic systems
66. Identify and graph exponential functions
67. Solve exponential equations
68. Interchange equations in corresponding exponential and logarithmic forms
69. Solve logarithmic equations
70. Use a calculator to find powers and logarithms using any base
71. Find the roots to an equation using a graphing calculator
72. Find the intersection point between two functions using a graphing calculator
73. Solve a system of two or more linear equations using a graphing calculator
74. Change window variable on graphing calculator
75. Change fixed values on a graphing calculator

STUDENT RESPONSIBILITIES:

1. Be prepared for class every day. This means, not only bring yourself to class but your textbook, notebook, pencil, completed homework, etc. You WILL NOT be allowed to leave the classroom to get a book, homework, pencil, calculator, etc. So remember all necessary materials and have them on your desk ready to go at the start of class.
2. Your success is a direct result of your classroom attitude. If you believe in your ability and make a conscientious effort daily, your grades will reflect this. Do not miss classes. Missing even one class can put you behind the course by at least two classes. Do not schedule special conferences or guidance meetings for math class.
3. The only way to learn mathematics is to DO mathematics. Learning is an active process. Therefore, PRACTICE what you learn in class by doing all assignments.
4. ALWAYS take notes in class. You are responsible for ANYTHING that appears on the board. READ the notes given that day before you begin your homework. READ the notes AGAIN as you study for tests and quizzes.
5. HOMEWORK / ASSIGNMENTS: Homework will be assigned DAILY in the form of either readings or problems. Please make sure that all homework is done in PENCIL on loose leaf. WRITE on ONE SIDE of the page only and make sure to label each homework assignment according to the date and page number. Homework will be collected DAILY and checked for completion. I will periodically grade random problems. Daily homework will be assigned a grade out of 4 points. If homework is turned in late the highest grade possible will be 2 points. Occasionally I will grade the homework more rigorously and the score will be out of 20 points. We will go over any questions on homework at the start of the class period that it is due. Homework will be collected after we have gone over any questions in class. Therefore, there is no reason why you should not receive a perfect score on homework if you have fulfilled your responsibilities by asking questions and copying down corrections. Always do the homework. If homework questions are not able to be answered, put an asterisk besides those that gave you difficulty and ASK questions about those problems in the next class. YOU MUST DO THE WORK WHEN IT IS ASSIGNED! NEVER FALL BEHIND.
6. Work all homework problems with care and persistence. You may work with other students in class to pool your knowledge in completing the homework assignments. This does not mean that you can copy someone else’s homework.

CLASS RULES:

1. If you are going to be late to class get a note. If you do not have a note, go to the office and get a late pass.
2. Raise your hand to be recognized.
3. Be COURTEOUS and SHOW RESPECT for your teacher as well as your fellow classmates. DO NOT TALK WHILE SOMEONE ELSE IS SPEAKING. Disrespect to anyone at anytime will not be tolerated.
4. Please do not call out or get out of your seat without permission during class. NOTE: You WILL NOT be allowed to leave the classroom once the bell rings to get a book, homework, pencil, calculator, etc. that you forgot. Be aware of this rule. Do NOT disrupt the class by asking.
5. HONESTY IS THE ONLY POLICY. Copying others work is unacceptable.
6. During tests and quizzes, I will not answer any questions pertaining to material on the test or quiz that you should have studied. If you believe there is a typographical error on the paper, raise your hand and I will come to you and check.

MAKE UP POLICY:

• If you do miss class due to illness or required activities, contact another student or check netclassroom to learn what material was covered and what homework was assigned. IT IS YOUR RESPONSIBILITY.
• If you happen to miss a TEST as a result of your absence, you have 1 week from the day you return to make up the test. You must see me on the DAY YOU RETURN to schedule a make up time. Failure to see me to schedule a time will result in a ZERO for that test.
• If you happen to miss a QUIZ as a result of your absence, you must make up the quiz on the day you return. CLASS TIME IS NOT MAKE UP TIME!!!
• Missed homework (due to absence only) must be turned in to me on the day following your return unless a previous arrangement was scheduled with me.

GRADING:

The grading scale of this course follows the grading policy of Salesianum School ( 7 pt. scale with pluses as stated in the handbook ). Your marking period grade in this course will be determined on a percentage of total points earned in the following categories:
- chapter tests – 60%
- short quizzes – 20%
- individual/group projects – (point value varies, will count as part of tests)
- homework (daily and graded homework) – 20%
End of the year grades will be determined based on your final average made up of your 4 quarter grades as well as the final assessment.
(the above may change as situations merit)

USEFUL INFORMATION:
1. Absence: All students are responsible for making up missed work.

• Three ways to find out what you missed:
  • 1.) call another student,
  • 2.) look on netclassroom, or
  • 3.) e-mail me at: tfleetman@salesianum.org

2. I am available in the mornings before school and after school until 3pm in room A208. Please see me or schedule an appointment with me if you are having difficulty.

3. Contact: easiest way is through e-mail or you can call (302)654-2495 Ext. 223.