In our information-driven world, almost every college major now requires a course in statistics to enable students to make sense of this wealth of data. Many STEM, business, and social science fields also require Calculus, so this course combines the critical topics in Precalculus, Trigonometry, and Statistics in a unified way to give students a broad platform to launch their post high school studies. Following the completion of this course, students will be well positioned to take college level or AP courses in Statistics or Calculus. We will begin with an introduction to Statistics, then Functions, and finally Trigonometry. The course will alternate between the three topics, then integrate all three towards the end.
Topics included are:
- Statistics: measures of central tendency and spread of data
- Modeling Functions: linear, exponential, logarithms, quadratics, inverse variation, polynomials
- Transformations: translations, scale change, symmetries, compositions, and inverses
- Trigonometric Functions: translations, identities and modeling, Trigonometric equations, and applications.
- Combinatorics, probability and chi-square, sequences, and series
- Binomial distributions and probabilities
- Normal distributions and confidence intervals
- Matrices and their applications
The qualified student will spend 6-10 hours per week on this class. This accounts for watching pre-recorded videos, reading daily assignments and completing daily homework, and submitting handwritten weekly assignments. The submitted homework will consist of video concept check questions, daily readings and note-taking, electronic concept questions, and textbook questions, some submitted as scanned written work, and some to be checked against an answer key that will be provided.
In addition, there will be two required projects (one each semester), handwritten and scanned chapter tests, and two cumulative multiple-choice exams. To help students learn good note-taking, notes from each chapter will be submitted and evaluated. The weekly live sessions will be used to review, practice problem solving, and strengthen critical thinking and the skills introduced during the previous week.
All course lectures are pre-recorded and available for students to playback at their convenience. Weekly live problem-solving and discussion sessions will be held where we collaboratively work on concepts and applications of concepts. Questions are welcomed! Students are not required to “meet” at the scheduled discussion time, but it is encouraged. Scheduled discussion times will be recorded for those unable to attend the live discussion times and available for approximately one month afterward.
Who should enroll?
Instructor approval is required to enroll. Students in grades 10-12 who have successfully completed Geometry and Algebra 2 must complete the linked application and placement test and be approved before registering.
The well-prepared applicant is familiar with the fundamentals of Algebra and Geometry, has the maturity to diligently complete the assigned homework, and will seek additional help when needed. Learning how to learn mathematics is stressed in this course, so students who are motivated to improve should apply.
- High speed, broadband Internet
- Sound card and microphone (for live sessions)
- Streaming video capabilities to watch recorded lectures
- Scanner or smart phone for submitting tests and homework
Evaluation and Feedback
Students will be graded on homework, projects, notes, tests, and exams. Submitted student work will be graded and returned within one week of the due dates. Grades are perpetually available throughout the course. Outside of class times, student may contact the teacher with any questions or concerns using the Canvas messages.
Parents are encouraged to oversee their student’s progress. They may contact me through Canvas messages on the course website. In addition, parent-teacher conferences will be offered in the fall and spring of the year.