Course Information

Mathematics

College Algebra & Trigonometry

Math 147

Hybrid

Jayce Bell

jbell@basinschools.net

208-392-4183

Course Description

This is a single course equivalent to College Algebra (MATH 143) plus Trigonometry (MATH 144). This course includes fundamental concepts of algebra and trigonometry; equations and inequalities; functions and graphs; polynomial, rational, exponential, and logarithmic functions; systems of equations and inequalities; conics; the Binomial Theorem; right triangle and circular function approaches to trigonometry; graphs of trig functions; trig identities; conditional equations; right and non-right triangle applications of trigonometry; inverse trig functions; trigonometry of complex numbers, including DeMoivre's Theorem; polar coordinates and equations; and parametric equations. Credit hours are not granted in both MATH 143 and MATH 147, nor in both MATH 144 and MATH 147. PREREQ: Mastery of Units 1-12 in MATH 095 or equivalent placement score. (This CWI course meets Idaho State Board of Education GEM competency requirements for GEM 3 - Mathematical Ways of Knowing.). (5 lecture hours, 0 lab hours, 5 credits)

Schedule

Class will meet Monday through Fridays in Room 1 at Idaho City High School.

Hybrid/online instruction options are available depending on the status of the school due to COVID-19.

Instructor Availability

Mr. Bell is available in his office from 8:00 am until 3:30 pm, Mondays through Fridays.

Course Learning Outcomes

The Course Objective is to provide students with the mathematical foundation necessary (1) for future mathematics courses such as Calculus and (2) to be able to learn new concepts helpful to them as employees, citizens, and consumers.

Students completing this course are expected to acquire the ability and skills to:

SLO 1 Use and Understand Linear, Literal, Radical and Absolute Value Equations, Inequalities and Functions.

1. Classify an equation/inequality/function or system based on its characteristics

2. Solve Problems

a) Select appropriate strategy

b) Apply strategy and solve problem

c) Check solution(s) for accuracy and reasonableness

d) Interpret solution within context of problem

e) Justify process and solutions

f) Reflect upon process regarding efficiency, optional strategies and additional uses

3. Graphs

a) Identify graphs of basic equations/functions

b) Graph basic graphs and their transformations

c) Create equation/function from graph

d) Identify basic characteristics including domain, range, areas where graph is increasing, decreasing or constant, extrema, intercepts, and minimum degree where appropriate

4. Applied Problems

a) Analyze and interpret problem

b) Select appropriate strategy

c) Apply strategy and solve problem

d) Check solution(s) for accuracy and reasonableness

e) Interpret solution within context of problem

f) Justify process and solutions

g) Reflect upon process regarding efficiency, optional strategies and additional uses

SLO 2 Use and Understand Quadratic and Conic Section Equations, Inequalities and Functions.

1. Classify an equation/inequality/function or system based on its characteristics

2. Solve Problems

a) Select appropriate strategy

b) Apply strategy and solve problem

c) Check solution(s) for accuracy and reasonableness

d) Interpret solution within context of problem

e) Justify process and solutions

f) Reflect upon process regarding efficiency, optional strategies and additional uses

3. Graphs

a) Identify graphs of basic equations/functions

b) Graph basic graphs and their transformations

c) Create equation/function from graph

d) Identify basic characteristics including domain, range, areas where graph is increasing, decreasing or constant, extrema, intercepts, and minimum degree where appropriate

4. Applied Problems

a) Analyze and interpret problem

b) Select appropriate strategy

c) Apply strategy and solve problem

d) Check solution(s) for accuracy and reasonableness

e) Interpret solution within context of problem

f) Justify process and solutions

g) Reflect upon process regarding efficiency, optional strategies and additional uses

SLO 3 Use and Understand Polynomial and Rational Equations, Inequalities and Functions.

1. Classify an equation/inequality/function or system based on its characteristics

2. Solve Problems

a) Select appropriate strategy

b) Apply strategy and solve problem

c) Check solution(s) for accuracy and reasonableness

d) Interpret solution within context of problem

e) Justify process and solutions

f) Reflect upon process regarding efficiency, optional strategies and additional uses

3. Graphs

a) Identify graphs of basic equations/functions

b) Graph basic graphs and their transformations

c) Create equation/function from graph

d) Identify basic characteristics including domain, range, areas where graph is increasing, decreasing or constant, extrema, intercepts, and minimum degree where appropriate

4. Applied Problems

a) Analyze and interpret problem

b) Select appropriate strategy

c) Apply strategy and solve problem

d) Check solution(s) for accuracy and reasonableness

e) Interpret solution within context of problem

f) Justify process and solutions

g) Reflect upon process regarding efficiency, optional strategies and additional uses

SLO 4 Use and Understand Exponential and Logarithmic Equations, Inequalities and Functions.

1. Classify an equation/inequality/function or system based on its characteristics

2. Solve Problems

a) Select appropriate strategy

b) Apply strategy and solve problem

c) Check solution(s) for accuracy and reasonableness

d) Interpret solution within context of problem

e) Justify process and solutions

f) Reflect upon process regarding efficiency, optional strategies and additional uses

3. Graphs

a) Identify graphs of basic equations/functions

b) Graph basic graphs and their transformations

c) Create equation/function from graph

d) Identify basic characteristics including domain, range, areas where graph is increasing, decreasing or constant, extrema, intercepts, and minimum degree where appropriate

4. Applied Problems

a) Analyze and interpret problem

b) Select appropriate strategy

c) Apply strategy and solve problem

d) Check solution(s) for accuracy and reasonableness

e) Interpret solution within context of problem

f) Justify process and solutions

g) Reflect upon process regarding efficiency, optional strategies and additional uses

SLO 5 Apply Trigonometric Content.

1. Create mathematical models

2. Solve application problems

3. Justify and interpret solutions within the context of the problem

4. Communicate rationale behind choice of strategy

SLO 6 Use and Understand Trigonometric Functions.

1. Understand right triangle and circular functions definitions.

2. Evaluate trigonometric functions and their inverses

3. Solve right triangles

4. Solve trigonometric equations.

5. Identify and create basic sine and cosine graphs and perform simple transformations.

SLO 7 Use and Understand Trigonometric Identities.

1. Simplify trigonometric expressions.

2. Verify trigonometric identities.

3. Evaluate trigonometric functions

4. Solve any triangle

SLO 8 Use and Understand Related Trigonometric Concepts.

1. Use and understand complex numbers in trigonometric form

2. Solve polar equations

3. Solve parametric equations

Outcomes Assessment

Student outcomes will be assessed using Quizzes, Unit Tests, Projects and Finals.

Grading Policy

· Grading scale (What defines an A, B, C, etc.?)

· Methods used to evaluate student performance (required assignments, quizzes, group work, participation, presentations, exams, essays, skills tests, etc.) and percentage or points breakdown.

· Sample policy (modify as needed): Your overall grade for the course will be calculated using the following weights and categories:

Category

Weight

Homework

15%

Quizzes

20%

5-8 Exams

45%

Final Exam

20%

TOTAL:

100%

Letter grades will be determined as follows:

A:

90-100%

B:

80-89%

C:

70-79%

D:

60-69%

F:

59% or below

Per departmental policy, a student must earn at least a 60% on the common final exam to be eligible to pass the class with a grade of C or better. Students whose overall average is 70% or better after failing the common final, will be given a letter grade of D and will be offered the opportunity to take a challenge exam.

o Challenge Exam: This exam is available for a limited time after the end of the semester. Students who can earn a 60% or better on the challenge exam will have their grade changed from the D given based on the departmental policy to the letter grade that matches their original semester average. Students eligible for this challenge opportunity will be notified by their instructor of their eligibility along with details regarding dates of availability and the timeframe for grade changes. Please note: This opportunity is not available to all students who fail the final exam. It is only available to students who fail the final exam whose semester average stays at 70% or above after having done so.

Textbooks and Required Materials

The textbook for the course is Precalculus with Limits, Seventh Edition, by Hornsby, Lial, and Rockswold, 2019. TI-82 graphing calculators are available in the classroom.

Instructional Conversation

[Reference the Instructional Conversation guide for additional language or clarification]

Learning is an active exchange between faculty and student.

As a faculty, I will

· Instruct through varied methods including lecture, activities, guided discovery and video feedback.

· Assess through standard tests, quizzes and homework.

· Inform through Lumen, Google Classroom, and Blackboard

As a student, you will

· Attend class and be ready to actively participate

· Submit assignments on time and communicate prior to the due date if that is an issue.

· Participate by actively engaging in class discussions.

Course Calendar

Please refer to the running course calendar in your Google Classroom stream.

Course Expectations

· The hourly expectation involved in this class is as follows:

o A student can expect to spend on an average approximately 8 hours per week in total on this class (reading, homework, participating/attendance, etc.). Some students may need more time, and some may need less time each week. Please make sure that you are using the amount of time that is right for you to be successful in this class.

· Please refer to the ICHS student handbook for safety requirements and guidelines

· There is to be no smoking, drinking or eating in class under any circumstances

· Late work policy, definition of attendance and attendance policy, cell phone use

· Any guests/children to be brought to class need to be cleared by the front office.

· Any scheduling issues, as well as grade updates will be posted in Lumen.

Personal Technical Skills

This course will not provide information on how to use a computer, use Blackboard, navigate the web or manage electronic files. Students who are having difficulty should contact their instructor, IT Help Desk or Tutoring Services. Please use the resources listed above or speak with the instructor before dropping a course.

Students must be able to do the following with or without accommodation:

· Use an internet browser to navigate the internet and Blackboard.

· Download, upload, create, save, edit and open documents using Microsoft Office applications, such Word, Excel and PowerPoint.

· Download and upload audio and video files.

Civility and Behavioral Expectations

The College of Western Idaho is committed to educational excellence and recognizes that to achieve that excellence, students, faculty, and staff have a right to be in a safe environment, free of disturbance and civil in all aspects of human relations. Membership in the CWI learning community places a special obligation on all members to preserve the safe learning environment, regardless of the medium of the environment. It is the responsibility of instructors to determine, maintain, and enforce the standards of behavior required to preserve that safe environment.

Behavior that has a negative impact on the learning environment is prohibited. Such behavior may include, but is not limited to, rude, sarcastic, obscene, or disrespectful and/or disruptive behavior. Instructors will determine the appropriate response to problematic behavior in line with the procedures stated in the CWI Student Handbook. Problematic behavior may result in a student being removed from the class session and/or referred to the CWI Academic Conduct Process. For information on how problematic behavior will be managed, see the CWI Student Handbook. It is the student’s responsibility to check their email to receive notification of any scheduled appointments or other urgent communications.

Any student or other member of the learning community may report a violation of the Student Code of Conduct here.

Academic Integrity

One of the College’s Core Themes is Instructional Excellence, and in order to achieve instructional Excellence, academic integrity must be upheld. Academic Integrity is the “commitment to five fundamental values: honesty, trust, fairness, respect, and responsibility. … these five values, plus the courage to act on them even in the face of adversity, are truly foundational to the academy” (The Fundamental Values of Academic Integrity, 2013). These values are especially important in how students represent their own learning, ideas, and work. Practicing academic integrity includes, but is not limited to, non-participation in the following behaviors: cheating, plagiarism, falsifying information, unauthorized collaboration, facilitating academic dishonesty, and violating program policies and procedures.

For additional information on academic integrity expectations, see the Student Code of Conduct. Violations may result in disciplinary action ranging from failure of the assignment to failure of the entire course. Acts of academic dishonesty, especially when sanctions are given, are reported and run through the Academic Conduct Process. Repeated acts of academic dishonesty have more severe institutional consequences.

Title IX & A Respectful Community

Title IX guarantees all students the right to an education free from discrimination on the basis of sex. This includes the right to an education free from sexual harassment, including sexual assault. This may include unwelcome conduct of a sexual nature in class, or in online discussion boards or through chat or video conferences. This law also protects students from discrimination based on pregnancy or being a parent and provides support options as well. If you, or someone you know, may have been experienced sexual harassment or discrimination of any kind, you are encouraged to report it to the College Title IX Coordinator by completing a report here, or by e-mailing respectfulcommunity@cwi.edu. Filing a report allows the College to provide supportive measures to those involved. It does not obligate a student to go forward with an investigation, and all information reported is protected under federal law. For more information, click here.

Student Services

CWI provides a number of offices and services to assist students on their academic journey. Below is a list of the services most commonly accessed by students:

· One Stop Service Centers – Provides assistance with admissions, advising, registration, financial aid, and most other common needs you may have. They are a good first stop for any questions.

· Student Disability Services – Provides accommodations and support for students with a range of disabilities.

· Counseling Services – Short-term counseling for students provided free of charge.

· Library & Research Support – Assists students with research, study skills, textbook reserves and other services key to academic success.

· Tutoring Center – Free tutoring services on a range of academic subjects, available to all enrolled students.

· Writing Center – Provides strategies to help students identify opportunities to improve the quality of their writing, free of charge.

· Assessment & Testing – Proctoring services for a range of course exams, accommodated testing, and outside certification tests.

· Student Affairs – Provides a range of engagement opportunities, including professional and interest organizations, student government, support for veteran students & families, and CARE Services to support students through unexpected life events.

CWI COVID-19 Response

CWI is committed to providing a safe learning environment for all of our students. We will be monitoring the class environment and delivery to ensure continued compliance with CDC and State of Idaho guidelines. Any change to course delivery will be communicated directly to students.

Emergency Procedures [Required for In-person, Hyflex and Hybrid Courses]

CWI posts instructions for evacuation in all rooms and encourages everyone on campus to review the CWI Emergency Handbook.

Emergency Procedures for Idaho City High School are posted by each classroom door.

Idaho General Education Matriculation (GEM) Competency

This course meets the Idaho State Board Gen Ed Matriculation (GEM) course competencies for Mathematical Ways of Knowing courses. For more information see the State Board competencies.