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Introduction to Calculus
数学者のためのプレ微積分学: 学期 1/2 関数トピック (自分のペースで学習)
Kristen LeGeyt M.Ed. Secondary Mathematics
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平均評価:5.0レビュー数:(213)
数学者のための実践的プレ微積分学 1/2 学期では、関数の観点からプレ微積分学を理解するための中核となる内容が扱われます。扱われる数学のトピックは、関数、円錐曲線、変換、およびアプリケーションです。前提条件: 代数 2
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米国の学年 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.
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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.授業以外に週あたり 2 - 4 時間の学習が期待されます
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Assessments will be provided and can be formally graded or self-corrected.成績が提供されます
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
平均評価:5.0レビュー数:(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...
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週ごとまたは￥400 すべてのコンテンツ32 録画済みレッスン
16 教師サポート週間
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コンテンツへの 1 年間のアクセス
年齢: 14-18
