Pre-Calculus and Trigonometry
MS, Santa Clara University
BS, California Polytechnic State University, San Luis Obispo
Elizabeth Shimada earned her bachelor of science in electronic engineering from California Polytechnic State University at San Luis Obispo and her master’s of science in computer engineering from Santa Clara University. Prior to homeschooling her three children, she spent ten years in manufacturing, marketing, and R&D at Hewlett Packard Company’s instrumentation division. Energized by teaching, she is thrilled to be part of the Academy’s online homeschool community. She enjoys teaching in creative ways, making abstract concepts real and the learning process fun. Besides teaching, she tutors in math and physics. Furthermore, she appreciates math and science as tools to see the “hidden treasures” in God’s creation.
In addition to her family’s year-round basketball activities, Elizabeth enjoys reading, building projects, visiting new places, perusing apologetics, and good literature and theater. She also delights in various Word studies and fellowship, drawing and multimedia activities, and good ol’ company and conversation around a meal.
Elizabeth lives in Northern California with her husband Warren and their children—Eric, Jaclyn, and Kevin—along with their two furry felines, Pachek and Slavna, and a sizeable flock of backyard chickens.
This is her second year teaching for the Academy.
MEd, California State University
BA, Queens College
Tiffany Cooks earned her bachelor's degree in psychology from Queens College and her master's degree in curriculum and instruction, with an emphasis in educational technology, from California State University Bakersfield. She currently homeschools her young daughter, along with teaching math online and tutoring other homeschooled students at her local church.
Tiffany's teaching experience began with the Kern County Superintendent of Schools in California. She then taught mathematics for the New York City Department of Education and then moved into online instruction. Tiffany has taught a variety of math topics including pre-algebra, algebra, geometry, probability and statistics, trigonometry, pre-calculus, and calculus. Her desire has always been to help reduce the anxiety that many students have about math.
Tiffany currently resides in Long Island, NY, with her husband Eugene, who is also a teacher, and her daughter Marissa. Along with teaching math, Tiffany enjoys spending time with her husband, daughter, and their two cats. She also loves traveling with the family and being involved with her church.
MEd, Marygrove College
BA, Spring Arbor University
Amber Knapp earned her bachelor's degree in secondary education mathematics from Spring Arbor University and her masters of education degree from Marygrove College. She taught mathematics for ten years at a local high school before moving on to several adjunct professor positions at local colleges. For the past three years Amber has been blessed to teach part-time in these positions while homeschooling her young children.
Along with teaching a variety of math courses at the high school and college levels, Amber has taught online math classes for over a decade, provided regular tutoring to homeschooled students in the area, and has recently begun working with Classical Conversations as a tutor in the Foundations program. Amber enjoys finding creative ways to present material and make it accessible for all students to learn. Coming alongside students and showing them the beauty of God's creation through the application of mathematics is a great joy for Amber—one she is excited to share with students in the Academy's online homeschool community.
In addition to home improvement projects, Amber enjoys running, reading and spending time with friends over a good cup of coffee. She lives in central Michigan with her husband Jesse and three young children, where they love serving in their church and spending time with extended family.
Duration: Yearlong course offered in fall/spring (32 weeks).
Suggested High School Credit Value: 1 credit.
Suggested Grade Level: 10th grade level and up.
Tuition: $495 for HSLDA Members/$545 for non-HSLDA Members.
Save an additional $50 through 6/13 with Early Registration.
Description: In Pre-Calculus & Trigonometry, students build upon skills learned in Algebra 2 and Geometry while learning about functions and graphs. This course is meant to prepare students for AP® Calculus AB.
Watch a short introduction from Course Developer Elizabeth Shimada.
|Pre-Calculus & Trig. — Live Online Class Session Schedule, 2017–18
Weekly Meeting Time
||Mondays, 2:30 p.m. – 4:00 p.m. Eastern
||Ms. Tiffany Cooks
||Tuesdays, 2:00 p.m. – 3:30 p.m. Eastern
||Ms. Amber Knapp
Wednesdays, 11:30 a.m. –
1:00 p.m. Eastern
|Mrs. Elizabeth Shimada
|Students will be allowed to change class sections free of charge until the start date of the course, as class size permits. If you have questions, please call 540-338-8290.
Frequently Asked Questions about
Pre-Calculus & Trigonometry
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What topics will I learn about in Pre-Calculus and Trigonometry?
Students successfully completing this course will to be able to:
- Understand what a function is, understand and determine different properties of functions, evaluate a function at a given value, manipulate the function in a variety of algebraic and graphical ways, learn and work with different families of functions including conics, determine roots both real and complex of polynomial functions using various methods, apply function concepts to application problems, understand how parabolas, ellipses and hyperbola’s are mathematically represented.
- Understand the basic trigonometric functions and the radian measurement, be able to apply unit circle and angular concepts in trigonometric applications, understand and use various identities, laws and formulas to evaluate and prove trigonometric expressions and equations and to solve trigonometric application problems.
- Understand and solve linear, nonlinear, and multivariable systems of equations and inequalities both mathematically and graphically, understand and use matrices, matrix operations, their inverses and determinants to solve systems of equations.
- Understand and use vectors, dot products, complex numbers and the polar coordinates system to solve problems. Understand arithmetic and geometric sequences, their sums, the binomial theorem, counting principles, permutations, combinations, and probability to solve common problems.
What books will I use in Pre-Calculus and Trigonometry?
The official booklist for Pre-Calculus & Trigonometry is available now.
Starting June 1, you can order your books for the 2017–18 academic year through HSLDA Online Academy’s bookstore.
By purchasing your textbooks through the Academy’s bookstore, you may be eligible for Guaranteed Book Buyback. Please view the eligibility requirements to learn more about Guaranteed Book Buyback.
Am I ready to take Pre-Calculus and Trigonometry?
Students who have completed Geometry and Algebra 2 are ready to take Pre-Calculus & Trigonometry at HSLDA Online Academy.
What is a Live Online Class Session in Pre-Calculus and Trigonometry?
In every HSLDA Academy course, students meet weekly with their instructor and classmates in an online classroom for additional teaching, discussion, Q&A, or group activities. The class sessions are interactive and are conducted using a web meeting software with video, audio, chat, and application sharing capabilities.
Scheduled, real-time sessions in the online classroom are not the only form of instruction available in a HSLDA Online Academy course, but are offered in addition to lectures or other instructional materials that students are able to access online at their convenience.
When they register, students will need to select a particular class section and live class meeting time. Additional class sections may be added to the schedule at a later point in the course registration period. Registered students will be notified of any changes to the live session schedule.
What if I have a schedule conflict with the listed Pre-Calculus and Trigonometry class time?
All live class sessions are recorded for later viewing. While it is recommended that students attend each live class session, students can make arrangements to watch the recordings and receive full participation credit.
Students should contact their instructor at the start of their course to inform the instructor of any foreseen schedule conflicts.
What is the tuition for Pre-Calculus and Trigonometry?
Please visit our tuition and discounts page for a full summary about course costs.
HSLDA members save $50 on yearlong high school courses!