Text Box: Algebra 
Grades 9-12 - 2005-2006 
Mr. Matthew J. Moeller

 

 

 

 

 


Hand in Hand with Christ

Course Purpose – Algebra B is a course in which students will learn the basics of the mathematics of algebra and its applications for life.

Course GoalStudents will utilize their knowledge of algebra by applying it throughout their lives to solve problems in service to the Savior.

Mathematics Department Outcomes

Graduates of the KMLHS Mathematics Department will be:

  1. Children of God who
    1. utilize their God-given abilities in mathematics to serve Him.
    2. appraise their current math skills and, building on their previous knowledge of mathematics, develop their math skills in light of new developments in their lives and in society.
    3. evaluate data to guide their lives of Christian stewardship.
    4. appreciate God’s order of creation in the logical structure of math.
  2. Problem solvers who
    1. organize a plan to complete a project.
    2. decide upon an appropriate tool for solving a problem.
    3. recognize and analyze patterns and incorporate them into problem solving situations.
  3. Cooperative learners who
    1. contribute in solving group projects.
    2. develop and complete tasks assigned to them.
    3. communicate effectively to

                                                               i.      relate their understanding of mathematics.

                                                             ii.      provide sound explanations of their reasoning in a problem-solving situation.

  1. Self-directed learners who
    1. integrate the rules of mathematics to solve problems.
    2. incorporate the use of numbers and variables effectively.
    3. justify solutions to their work.
    4. evaluate a problems solving situation, decide on a problem solving strategy.
    5.  integrate mathematical reasoning to produce a solution
    6. solve problems using various appropriate strategies.
  2. Informed citizens who
    1. analyze data in their lives.
    2. compare what they see to what they know.
    3. incorporate mathematical knowledge as a productive member of society.

Course Outcomes  - ALL STUDENTS WHO COMPLETE ALGEBRA B WILL BE:

1.       Dedicated stewards who properly prepare themselves for learning opportunities.

2.       Discriminating thinkers who analyze situations and evaluate data to determine the constants and variables.

3.       Problem solvers who develop plans that utilize patterns, proportions, linear equations, linear inequalities, and exponential functions to solve problems.

4.       Self-directed learners who distinguish when to use mental calculations, pencil and paper, and computers and calculators to most efficiently solve a problem.

5.       Collaborative contributors who relate their understanding of algebra concepts to others, compare problem solving techniques, compose a common plan for solving a problem, and justify their solutions using algebraic reasoning.

6.       Self-directed learners who actively pursue opportunities to grow in their knowledge and ability to use algebra.

 

Unit Outcomes

Ch. 4 Proportional Reasoning and Statistics  pages 162 to 214

FOLLOWING THE STUDY OF CHAPTER FOUR THE STUDENTS WILL BE:

1.       Informed citizens who can define and calculate the mean, median, mode, and range of a set of data.

2.       Problem solvers who incorporate proportions, equivalent fractions, decimals, and percents to deduce the value of a variable and the actual and experimental probability of an event.

3.       Discriminating thinkers who can interpret and analyze graphs and number plots.

4.       Quality producers who represent data on a graph and number plot.

Ch. 1 From Patterns to Algebra – pages 2 to 50

FOLLOWING THE STUDY OF CHAPTER ONE THE STUDENTS WILL BE:

1.       Informed citizens who can define a pattern and a variable.

2.       Discriminating thinkers who make predictions by using patterns in number sequences and represent real-world problems with equations including variables and solve by guess and check.

3.       Self-directed learners who accurately compute solutions using the algebraic order of operations.

4.       Dedicated stewards who use variables to represent unknown quantities.

5.       Problem solvers who represent linear patterns with equations and graphs. 

6.       Discriminating thinkers who interpret data in a scatter plot.

Ch. 2 Operations in Algebra – pages 52 to 110

FOLLOWING THE STUDY OF CHAPTER TWO THE STUDENTS WILL BE:

1.       Informed citizens who state and apply the commutative, associative, distributive, identity, and zero properties of addition, subtraction, multiplication, and division.

2.       Responsible stewards who add, subtract, multiply, and divide positive and negative numbers.

3.       Problem solvers who can simplify expressions with several variables.

Ch. 3 Equations – pages 112 to 160

FOLLOWING THE STUDY OF CHAPTER THREE THE STUDENTS WILL BE:     

1.       Informed citizens who can identify and solve equations for a variable by using addition, subtraction, multiplication, and division.

2.       Problem solvers who write and solve multi-step equations.

3.       Discriminating thinkers who write equations that represent real-world situations.

4.       Responsible stewards who select and use formulas to solve problems.

Ch. 6 Inequalities and Absolute Value – pages 274 to 314

FOLLOWING THE STUDY OF CHAPTER SIX THE STUDENTS WILL BE:

1.       Informed citizens who can define an inequality and absolute value.

2.       Problems solvers who solve and graph inequalities and absolute value equations.

3.       Discriminating thinkers who can identify the transformations a graph goes through.

Ch. 5 Linear Functions – pages 216 to 272

FOLLOWING THE STUDY OF CHAPTER FIVE THE STUDENTS WILL BE:

1.       Informed citizens who can define the slope of a linear equation as a rate of change between the variables involved.

2.       Discriminating thinkers who can analyze the slope intercept form of a linear equation to find the slope and y-intercepts.

3.       Problems solvers who can compute the slope of linear equations from its equation, its graph, or any two points that are solutions to the equation.

4.       Self-directed learners who can correctly modify a linear equation to put it into slope-intercept, point-slope, and standard forms. 

5.       Discriminating thinkers who identify and write equations for parallel and perpendicular lines.

Ch. 7 Systems of Equations and Inequalities pages 316 to 366

FOLLOWING THE STUDY OF CHAPTER SEVEN THE STUDENTS WILL BE:     

1.       Informed citizens who can identify consistent, inconsistent, dependent, and independent systems of equations.

2.       Problems solvers who utilize the graphing, substitution, and elimination methods to solve systems of equations.

3.       Discriminating thinkers who can interpret the meaning of a solution to a system of equations in a real-world context.

Ch. 8 Exponents and Exponential Functions – pages 368 to 422

FOLLOWING THE STUDY OF CHAPTER EIGHT THE STUDENTS WILL BE:      

1.       Informed citizens who can state the rules that govern the use of exponents and scientific notation.

2.       Problem solvers who simplify expressions containing positive, negative, and zero exponents and perform computations involving scientific notation.

3.       Responsible stewards who apply the general growth formula to calculate final

and initial quantities.

Ch. 9 Polynomials and Factoring – pages 424 to 476

FOLLOWING THE STUDY OF CHAPTER NINE THE STUDENTS WILL BE:        

1.  Informed citizens who know the definitions and usefulness of polynomials and polynomial

     functions

2.       Discriminating thinkers who can explain and model the addition, subtraction, and

multiplication of polynomials. 

3.       Self-directed learners who can add, subtract, multiply, simplify, and factor polynomials.

4.       Problem solvers who can solve problems involving polynomial functions.

Ch. 10 Quadratic Functions – pages 478 to 522

FOLLOWING THE STUDY OF CHAPTER TEN THE STUDENTS WILL BE:          

1.       Informed citizens who know the definition and usefulness of quadratic functions.

2.       Problem solvers who can solve polynomials by completing the square, factoring, or using the quadratic formula.

3.       Problem solvers who can solve and graph quadratic inequalities and test solution regions.

 

Instructional Strategies

Establishing Individual and Group Goals - 5%

Math Warm-Ups and Motivational Activities - 5%

Teacher Demonstration – 30%

Individual Work with Teacher Assistance - 20%

Cooperative Work on Projects with Teacher Assistance – 20%

Responding to Students Questions and Concerns - 20%

 

Grading

Assignments are to be completed by the assigned day (usually the next school day).   Unless otherwise instructed, the students are to complete the assignments on loose-leaf paper, with the student’s name, class, section, the date, and the assignment written on the top of the paper.   This is part of the assignment and will be graded.  All appropriate work must be clearly shown so that I can see the steps that were taken to solve the problems and also to help curb the temptation to copy the answers.   Any problem submitted without appropriate work will be marked wrong even though the answer may be correct and identified with “NWNC” which means “No Work, No Credit.”  All daily assignments that are turned in late will be scored as 50%.   If  projects are not completed on time, the grade will be lowered one grade for each school day that it is late.  For example, if an assignment is due on Monday, but not turned in until Wednesday, an “A” score will be lowered to a “C” because it is two days late.  The lowest score a student can receive on a diligently completed assignment is a 50%.    If a project is five or more days late will be recorded as a 50%.

 If a student is absent, the student is required to turn in the assignment within three school days of his/her return to class.  If a parent feels that there is a good reason why his/her child was not able to complete an assignment on time, that parent is asked to write a note explaining that reason, and if the excuse is valid I will not lower the grade of the assignment.

Most assignments can be redone, and most quizzes and tests can be retaken, however, under normal circumstances only one can be redone each quarter.  If a student wishes to redo an assignment, he/she must bring a note from a parent that states the reason for redoing the assignment 

If a student fails to complete an assignment by the end of the semester, a score of 0% will be given for that assignment.  Failing to complete any assignments will severely lower the student’s semester grade.  Failing to complete major assignments will result in failure of the course.

 I will select assignments to grade that give an accurate picture of how well the student is progressing. 

I will e-mail grade reports on the first day of each week and at various times after grades have been entered.   Parents will receive a letter in the first week of class in which they can choose whether grade reports are sent via e-mail or on a report that is distributed to the student.  In addition, I will post a list of missing assignments in the classroom.  Grades are also posted on Parent Connect which can be viewed via the Internet at any time.   I hope these help both the student and the parent(s) keep an eye on the student’s progress throughout the year.

 

            The students' final grades will be based on the following estimated percent scale:

Daily Assignments - 20% - Daily practice of the skills taught in class is very important.   Faithful completion of the daily practice problems enables the students to recognize and successfully solve the new types of problems that were introduced in class.  Because all math classes build on previous concepts, completing the daily practice problems will also enable the students to understand other concepts that build on those types of problems.  For some assignments students may make appropriate use of the answers in the back of the textbook to check their own work.  These answers are there to help the student see whether or not they are completing the problems correctly.  A portion of this grade will also be based on how often they bring all required materials to class.  Some of the daily assignments will be collected to evaluate the student’s work.  At times I will collect and grade these assignments.   At other times students will grade their own assignments or those of other students in a monitored fashion.   All daily assignments handed in late will be recorded as a 50% unless there are extenuating circumstances.    

Quizzes - 10% - The students will receive quizzes about twice a chapter on problems in which they have been instructed and had an opportunity to ask questions about in class.  These may or may not be announced prior to the quiz.

Cooperative Skills – 5% - The students will be graded on how well they actively participate, communicate, work efficiently, show respect for peers, and use math terminology as they work with others.

Projects – 30% - The students will be assigned various projects to demonstrate their ability to use their knowledge of algebra, be creative and responsible, and, at times, to work with others. 

Chapter Tests – 20% - Tests will be given at the conclusion of each chapter.

Algebra Portfolio 5% Throughout the semester the students will be creating a portfolio of materials that represents some of their major accomplishments in algebra.  They will choose what they believe are the best examples of their best work at particular points in the semester.  

Semester Exam – 10% - Semester exams will be given on the assigned exam day and will cover much of the material that was studied throughout the semester.

 

Student Materials

The students will be expected to bring the following materials for each class period:

2 pencils, a red pen, TI-82 or TI-83 calculator, 4 extra AAA batteries, a CD or flash drive for saving computer files, loose-leaf paper, binder, 5 binder tabs, the course textbook, and student planner.

Classroom Procedures

Our Lord has commanded us in his Holy Word to fear, love, and trust in him above all things, to honor those he has placed in authority over us, and to love our neighbor as ourselves.  With these commands in mind, the constant guidance of all parts of Scripture in everything we do, and the following rules, which have been established for the organization, productivity and safety of the students, the students will grow spiritually, intellectually, and socially throughout the school year.  The love of our Lord Jesus who suffered all things for us will motivate us to serve our Savior in everything we do to the best of our ability.  The students will be required to:

1.      Show respect and listen to those whom God has placed in authority over us.

2.       Be on time and prepared.  The students will be required to be in the classroom with all the materials necessary for class when the bell rings.

3.       Get to work immediately.  Upon arrival to class, the students will be required to find the assigned task for the day and begin working on it at their assigned desk as soon as possible.

4.       Remain in their seats and keep their hands, feet, and objects to themselves unless otherwise instructed.

5.       Raise a hand before speaking.  Unless otherwise instructed, the students will be required to raise their hand before speaking and wait to speak until the teacher calls them upon.  This is done to give all students time to think about and respond to questions and instructions.  

6.       Listen, write, answer, and ask.  The students will be encouraged to listen carefully to directions and instructions, write down important information, answer questions to the best of their ability, and ask questions about things which they don’t understand.  

7.       Find out.  When they are absent, the students are responsible to find out how to complete an assignment from the teacher or a classmate as soon as possible.

8.       Finish all assignments.  Assignments are due by the beginning of the next class period unless otherwise instructed by the teacher.  The students are required to finish their assignments neatly according to the directions given.

9.       Care for the property of the school.  This includes not bringing food or drinks into the classroom.

The students will be reminded, cautioned, and then appropriate action will be taken if the inappropriate behavior is not corrected.

 

2 Cor. 8:7  But just as you excel in everything – in faith, in speech, in knowledge, in complete earnestness and in your love for us – see that you also excel in this grace of giving.

 

 

           

 

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