Pre-Calculus - Part 2 (Semester 2)
In this 18 week online class students will prepare their skills for Calculus after successfully completing Pre Calculus first semester with a C or above.
Ellen Hulliberger (Highly Qualified —MI)
Average rating:
4.7
Number of reviews:(73)
What's included
18 live meetings
18 in-class hoursHomework
2-4 hours per week. Homework Policy • Homework will be assigned during every weekly meeting. • and checked by me and returned as soon as possible, • The problems must be written on your paper and have all work shown with answers to receive credit. • If you are unable to complete a problem, you must show evidence of effort. • Late assignments will be accepted for reduced credit.Assessment
Assessments: * weekly formative assessments to check for understanding including an interactive approach and a traditional paper pencil exit quiz. * at the end of a unit students will complete a guided review, then a summative assessment.Class Experience
US Grade 9 - 12
TEACHING and LEARNING My style of teaching is a Blended Model which includes differentiated instruction that meets the needs of all students, interactive learning, student driven problem solving, and demonstration techniques. Students will be responsible for weekly lessons and exit quizzes of 2-4 lessons per week. COURSE DESCRIPTION Pre-Calculus intertwines together previous study of algebra, geometry, and mathematical functions into a preparatory course for calculus. The course focuses on mastery of critical skills and exposure to new skills necessary for success in successive math courses. Throughout the course, Common Core standards are taught and reinforced as the student learns how to apply the concepts in real life situations. Topics include fundamental concepts of Algebra, functions and graphs, polynomials and rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, topics in trigonometry, systems of equations and inequalities, matrices and determinants, conic sections and analytic geometry, sequences, induction, probability, and an introduction to Calculus. Pre-Calculus Part I includes five lesson tests and a midterm written exam that requires the student to demonstrate understanding by showing work. Week 1 - Verifying Trigonometric Identities Week 2 - Multiple Angle and Product to Sum Identities Week 3 - Multivariable Linear Systems and Row Operations Week 4 - Solving Systems Using Cramer's Rule Week 5 - Linear Optimization Week 6 - Parabolas, Ellipses, and Circles Week 7 - Hyperbolas, Rotations and Parametric Equations Week 8 - Introduction to Vectors Week 9 - Dot Products and Vectors Week 10 - Polar Coordinates and Graphs Week 11 - Polar and Rectangular Forms of Equations Week 12 - Complex Numbers and Demoivre's Theorem Week 13 - Polar Equations Review Week 14 - Estimating Limits Graphically and Algebraically Week 15 - Tangent Lines and Velocity Week 16 - Derivatives Week 17 - Area Under the Curve Week 18 - Final Semester 1 Exam Review COURSE SYNOPSIS – Semester 2 GRADE WEIGHT • Attendance: 5% • Assignments: 10% • Exit Quizzes: 30% • Tests: 55% FINAL GRADE • Semester Grade: 80% • Final Exam: 20%
Learning Goals
LEARNING OBJECTIVES After completing Pre-Calculus - Semester 2, students will be able to:
* Prove the Pythagorean Identity sin2(0) + cos2(0) = 1 and use it to find trigonometric functions.
* Use inverse functions to solve trigonometric equations.
* Prove addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
* Represent a system of linear equations as a single matrix equation in a vector variable.
* Find the inverse of a matrix if it exists and use it to solve,
* Solve systems of linear equations exactly and approximately.
* Understand that rational expressions for a system using operations.
* Derive conic equations of parabolas, circles, ellipses, and hyperbolas.
* Recognize vector quantities as having both magnitude and direction.
* Add vectors end-to-end, component wise, and by the parallelogram rule.
* Represent complex numbers on the complex plane in rectangular and polar form.
* Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane.
Other Details
Supply List
Supplies • Graphing Calculator DESMOS • Whiteboard , marker, and eraser • Pencils and Pens • Graph paper and Straight Edge • Binder, dividers, notebook paper for
2 files available upon enrollment
Language of Instruction
English
External Resources
In addition to the Outschool classroom, this class uses:
Sources
For student reference purposes only:
* Glenco Precalculus textbook McGraw-Hill Education ISBN: 978-0-07-664183-3 (student edition)
Joined April, 2018
4.7
73reviews
Teacher expertise and credentials
Michigan Teaching Certificate in Mathematics
2 Degrees
Master's Degree in Secondary School Administration/Principalship from Grand Valley State University
Bachelor's Degree in Mathematics from Grand Valley State University
I am a highly qualified mathematics and chemistry teacher. I taught 10 years in the middle school and 10 years at the high school. I love teaching and believe in innovative ways to keep students motivated and engaged.
I graduated from Grand Valley State University with a Major in Mathematics and Minor in Chemistry. I also, have a Masters Degree in Middle Level Education and a Specialist Degree in Central Office Curriculum. I worked hard to get these degrees since I did not attend college until after my children were raised. I have 1 son and 3 daughters (1 of which is deceased). They are all adults now and they have given me 3 grand daughters.
Reviews
Live Group Class
$378
for 18 classes1x per week, 18 weeks
60 min
Completed by 4 learners
Live video meetings
Ages: 14-18
3-6 learners per class
