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Pre-Calculus for Mathematicians: Semester 1/2 Functional Topics (Self-Paced)
Kristen LeGeyt M.Ed. Secondary Mathematics
Star Educator
Average rating:5.0Number of reviews:(213)
Practical Pre-Calculus for Mathematicians Semester 1/2 covers core material for understanding Pre-Calculus from a function perspective. Math topics covered are functions, conics, transformations, & applications. Prerequisite: Algebra 2
Class experience
US Grade 9 - 12
Practical Pre-Calculus for Mathematicians 1/2 will provide a complete first semester Pre-Calculus curriculum covering 16 topics and can be completed in a 4 month (16 week) single semester by completing 1 topic each week. A pacing guide will be provided for planning purposes. The end date of this course will be extended 1 year from the start date so students will have plenty of time to complete the course and/or review material as needed. Sections will be offered at the beginning of every...
32 lessons//16 Weeks
Week 1Lesson 1Algebraic Modeling with Linear FunctionsThis lesson will review Algebraic Modeling and Regression Analysis using Linear Functions.Lesson 2Functions Problems through ApplicationsThis lesson will review functions through applications.Week 2Lesson 3Absolute Value FunctionsThis lesson will review absolute value functions through applications.Lesson 4Step Functions (Greatest Integer)This lesson will review step functions (greatest integer) through applications.Week 3Lesson 5Piecewise FunctionsThis lesson will review a variety of functions and the skills used when working with piecewise functions.Lesson 6Piecewise ApplicationsThis lesson will review piecewise functions through applications.Week 4Lesson 7Quadratic FunctionsThis lesson will review quadratic functions and the associated skills.Lesson 8Quadratic ApplicationsThis lesson will review quadratic functions through applications.Week 5Lesson 9Polynomial FunctionsThis lesson will review polynomial functions and the associated skills.Lesson 10Polynomial ApplicationsThis lesson will review polynomial functions through applications.Week 6Lesson 11Binomial TheoremThis lesson will introduce the binomial theorem.Lesson 12Finite DifferencesThis lesson will introduce finite differences.Week 7Lesson 13Reciprocal FunctionsThis lesson will review reciprocal functions and the associated skills.Lesson 14Reciprocal ApplicationsThis lesson will review reciprocal functions through applications.Week 8Lesson 15Rational FunctionsThis lesson will review rational functions and the associated skills.Lesson 16Rational ApplicationsThis lesson will review rational functions through applications.Week 9Lesson 17Radical FunctionsThis lesson will review radical functions and the associated skills.Lesson 18Radical ApplicationsThis lesson will review radical functions through applications.Week 10Lesson 19Exponential FunctionsThis lesson will review exponential functions and the associated skills.Lesson 20Exponential ApplicationsThis lesson will review exponential functions through applications.Week 11Lesson 21Logarithmic FunctionsThis lesson will review logarithmic functions and the associated skills.Lesson 22Logarithmic ApplicationsThis lesson will review logarithmic functions through applications.Week 12Lesson 23Functions (Notation, Operations, Composition)This lesson will focus on functions notation, operations of functions, and function composition.Lesson 24Inverse FunctionsThis lesson will focus on inverse function relationships.Week 13Lesson 25Arithmetic and Geometric Sequences (Explicit)This lesson will introduce explicit formulas for arithmetic and geometric sequences.Lesson 26Arithmetic and Geometric Sequences (Recursive)This lesson will introduce recursive formulas for arithmetic and geometric sequences.Week 14Lesson 27Linear SystemsThis lesson will explore linear systems of equations and their applications.Lesson 28Linear InequalitiesThis lesson will explore inequalities in linear systems and their applications.Week 15Lesson 29Non-Linear SystemsThis lesson will use a variety of functions to explore non-linear systems and their applications.Lesson 30Non-Linear InequalitiesThis lesson will explore inequalities in non-linear systems and their applications.Week 16Lesson 31Function ReviewThis lesson will provide a comprehensive review of functions studied over the first semester of Pre-Calculus.Lesson 32First Semester AssessmentThis lessons will provide an assessment of student understanding of first semester Pre-Calculus functions.
Students will be able to understand the properties of Algebraic Functions. Students will be able to model functions and apply Algebraic Functions to Real-World Problems. Students will be able to use transformations for Algebraic Functions.
Homework Offered
A pacing guide will be provided as well as a syllabus outlining how each student and family can determine the best homework load for their situation. Each session there will be an instructional content for note taking, a practice set of problems, and a solutions guide to check their own work, that should all be completed for each topic. Labs and online participation components are considered part of class time but will also need to be completed each week. Optional enrichment activities and additional practice will also be available.2 - 4 hours per week outside of class
Assessments Offered
Assessments will be provided and can be formally graded or self-corrected.Grades Offered
It is recommended that students have access to a graphing calculator like the TI-84 plus beginning with Algebra classes. Students will receive handouts and assignments throughout the course. Labs and optional enrichment activities may require miscellaneous household items on occasion.
Desmos.com an online graphing calculator utility and is a third party tool that does not require an account to use, but students may create a free account if they choose. Students will use desmos.com throughout the course in addition to their personal graphing calculator. YouTube.com will provide supplemental videos for students to experience math through seeing and is a third party tool that does not require an account to use, but students may create a free account if they choose.
Star Educator
Average rating:5.0Number of reviews:(213)
I teach a variety of secondary mathematics classes on OutSchool for students from 7th to 12th grade. Traditional core academic content courses I offer are Pre-Algebra, Algebra I, Geometry, Algebra II, and Pre-Calculus. I also offer...
Self-Paced Class
$25
weekly or $400 for all content32 pre-recorded lessons
16 weeks of teacher feedback
Choose your start date
1 year of access to the content
Ages: 14-18
