Course Description: Basic algebraic operations, linear equations and inequalities, quadratic equations and inequalities, variation. Functions and their graphs. Theory of equations. Exponential/logarithmic functions. Systems of equations. Mathematical modeling and applications.
Upon successful completion of this year long course, students that so choose will be granted 7 credits through University of Minnesota Crookston. Since this is a college level course, students should expect a more rigorous pace than a typical math course.
Throughout the course, problems will be approached from a numerical, graphical, verbal, and algebraic representation. Students will use graphing calculators as well as graphing software to gain a deeper understanding of the graphical representation of their answers when problem solving.
Student Learning Outcomes: Upon completion of this course, students should be able to:
1. Perform algebra skills with an increase in the level of difficulty of the problems involved.
2. Solve equations and inequalities.
3. Graph functions.
4. Use functions, find the composition of functions, and find the inverse of a function.
5. Solve and graph exponential and logarithmic equations and apply these skills.
6. Solve linear systems of equations involving two or three variables.
7. Utilize computer programs to solve mathematical problems.
8. Model real life problems mathematically.
9. Use mathematical skills to assist in decision making.
Texts: Pre-calculus with Trigonometry 2nd Edition, Key Curriculum Press 2007 ISBN # 1-55953-788-4 and CPM Pre-Calculus 3rd edition
Course Content Outline:
1st Semester-Math 1031 [College Algebra]
Chapter 2-Trig Functions
Chapter 8-Extending Trig Functions
Chapter 5-Exponential Functions and Logarithms
Chapter 10- Conic Sections
Chapter 12-Series and Statistics
2nd Semester-Math 1250 [Pre-Calculus]
Chapter 1-Interpreting Graphs and Applications of Graphs
Chapter 3-Algebra and Area Under a Curve
Chapter 4-Polynomial and Rational Functions
Chapter 7-Limits and Rates
Course Sites:
My website will be updated weekly with lesson plans as well as google classroom
Synergy will be updated weekly with course grades
Homework will be submitted on google classroom.
Geogebra, Desmos and other technology will be used to gain a deeper understanding of the topics
UMC Core Competencies addressed in this course: Core components as defined by UMC are dominant themes, transferable skills and abilities essential to an individual’s success in any occupation or life setting. They are requirements across the curriculum. In this class we will address specifically the following UMC core components:
Using Technology- Students effectively utilize appropriate software and hardware technology.
Problem Solving- Students design, evaluate, and implement a strategy to answer a question, resolve and issue, or solve a problem.
Technology: A graphing calculator is required for this course. Calculators will be allowed on quizzes and exams, but cell phones will not be allowed. If you choose not to buy graphing calculator, there will be a limited number available to loan from the school.
Homework: Homework will be assigned daily and be worth 5 points. Students will be graded on the process used to arrive at the answer. Answers to book assignments will be provided so students can check their progress. No late work will be accepted. Each assignment is due the following day unless otherwise stated.
Exams: Exams will be given at the completion of each chapter (about every 3 weeks). Each exam will be about 80 points.
Grading: Your grade will be based on total points earned from exams, quizzes, homework, and in-class work. Working the problems on your own is essential for learning the material. Showing your work on everything you hand in is extremely important. Quizzes are worth 10 points and will be given each week. No extra credit will be given.
Points
Tests ~250 Tests count for 80% of total grade
Homework Quizzes ~100 Quizzes count for 15%
Homework and in-class work ~100 5% of total grade
Total ~450 points possible
The grading scale will be as follows:
A 94% - 100%
A- 90% - 93%
B+ 87%-89%
B 83%-86%
B- 80% - 82%
C+ 77% - 79%
C 73% - 76%
C- 70% - 72%
D+ 67% - 69%
D 63% - 66%
D- 60% - 62%
F Below 60%
Incompletes: Incompletes will be granted in accordance to school district policy outlined in the student handbook.
Attendance: Attendance and participation in classroom activities and discussion is important to success in learning the material. You are responsible for all information and instructions discussed in class whether you are in class or not.
Extra Credit: No extra credit will be given in this course.
Students having difficulties: Students having difficulty with course material are encouraged to seek out help from the instructor either before or after school. Class time is very important and should not be used only for answering questions.