Beginning-Of-Year Review | Precalculus, Module 1, Self-Paced Edition
This 4-week online course begins a full year Precalculus class.
Avrila at Math With Avrila
Average rating:
4.9
Number of reviews:(13)
What's included
14 pre-recorded lessons
4 weeks
of teacher support1 year access
to the contentHomework
4+ hours per week. Learners will have practice problems to work in Rover for each lesson. Other assignments, quizzes, and tests will be in TeacherMade.Assessment
Learners will receive numerical grades for practice and for each major assignment in a written report at the end of the class, and a current draft of their grades so far upon request during the class.Class Experience
US Grade 10 - 12
The general topic outline for the first month will be prerequisite review and equations and inequalities. For details of what will be addressed within these areas, see the learning goals list. We will be using the OpenStax Algebra and Trigonometry curriculum from Rice University as an outline and reference, and while this is not a test prep class, I am mindful of the fact that learners may have passing credit-bearing exams like CLEP Precalculus as a goal and the scope and rigor will be consistent. (The next month's unit will be available for enrollment as students near completion of this course.) The recommended learner background is recent successful completion of a class like Algebra 2, Secondary Integrated Math 3, or another comparable class. Learners who are on-level to take one of those classes, rather than having completed one already, can take precalculus instead if they also take my Pre-Precalculus Corequisite (to be offered soon -- let me know if you need it and I'll be happy to keep you up to date).
Learning Goals
Learners will review prerequisites: the basics of the real number system; exponents and radicals, including scientific notation and rational exponents; key concepts and calculations with polynomials including factoring; and, working with rational expressions.
Learners will graph solution-sets to equations.
Learners will reliably solve one-variable equations which are linear, quadratic, or absolute value, accurately identifying situations in which solutions do not exist.
When studied techniques are applicable, learners will solve one-variable equations which are higher order polynomial, radical, rational, or related to a quadratic equation.
Learners will solve linear and absolute value inequalities, expressing answers as graphs or in interval notation.
Learners will use the constant velocity formula d=rt.
Learners will use plane geometry formulas for area and perimeter of rectangles.
Learners will use the solid geometry formula for volume of a rectangular prism.
Learners will use analytic geometry formulas for distance and midpoint.
Syllabus
14 Lessons
over 4 WeeksLesson 1:
Real Numbers and Algebra Essentials
Lesson 2:
Exponents and Scientific Notation
Lesson 3:
Radicals and Rational Exponents
Lesson 4:
Polynomial Essentials
Other Details
Parental Guidance
TeacherMade is a site designed for school use which allows learners to access and complete worksheets, tutorials, and practice problems. If they wish, such as for added privacy, learners can sign in using a nickname or pseudonym.
GeoGebra is a free, open-source math calculator, graphing calculator, and dynamic geometry site. Learners do not need an account to use it.
Explain Everything is a shared whiteboard, similar to Google Jamboard but more flexible. Learners do not need an account and can access the board to write on it through a link. Learners who do not specifically want to write on the board don’t need to access Explain Everything at all – I will share the screen in Zoom and they can watch.
myOpenMath is a math practice site designed for school use.
Supply List
Scratch paper and pencils, or a whiteboard and markers. Learners who are preparing for college admissions are advised to keep a portfolio (digital or on paper) of major assignments and 2-3 different types of problems, fully worked, per routine practice assignment; the materials of the student's choice should be available for this from the beginning of class. Examples include a Google Drive or Dropbox folder, LibreOffice software (Writer and Math), a binder and hole-punched printer paper or a hole puncher, etc. Consider that if you are applying to multiple colleges, a digital portfolio is easier to duplicate, and can be printed out if a physical copy is wanted. For this class, learners can use GeoGebra exclusively as their graphing calculator, but students whose intent is to take a credit-bearing exam should begin practicing with a calculator approved for that exam as soon as possible.
External Resources
In addition to the Outschool classroom, this class uses:
Sources
OpenStax Precalculus
OpenStax Algebra and Trigonometry
Joined May, 2021
4.9
13reviews
Teacher expertise and credentials
Master's Degree in Mathematics from Western Governors University
I have a master's degree in math education for grades 5-12, as well as further graduate coursework in mathematics, and teach developmental, dual credit, and regular math classes for my local junior college.Reviews
Self-Paced Course
$19
weekly14 pre-recorded lessons
4 weeks of teacher support
Choose your start date
1 year of access to the content
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Ages: 15-18
