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数学者のためのプレ微積分学: セメスター 2/2 三角法トピック (自分のペースで学習)
Kristen LeGeyt M.Ed. Secondary Mathematics
Star Educator
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第 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的な内容を扱います。三角法、組合せ論、微積分学入門、応用数学のトピックを扱います。前提条件: 代数 2
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このクラスで学べること
米国の学年 9 - 12
Practical Pre-Calculus for Mathematicians 2/2 will provide a complete second 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 1Introduction to TrigonometryThis lesson will introduce trigonometry and focus on angles, degrees, and radians.Lesson 2Right Triangle TrigonometryThis lesson will focus on right triangle trigonometry.Week 2Lesson 3The Unit Circle Part 1This lesson will explore how the unit circle is constructed and how it is used in trigonometry.Lesson 4The Unit Circle Part 2This lesson will further explore the unit circle and the components used in trigonometry.Week 3Lesson 5Graphing Trigonometric Functions Part 1This lesson will focus on graphing sine, cosine, and tangent trigonometric functions.Lesson 6Graphing Trigonometric Functions Part 2This lesson will focus on graphing cosecant, secant, and cotangent trigonometric functions.Week 4Lesson 7Trigonometric FunctionsThis lesson will focus on using trigonometric functions.Lesson 8Trigonometric ApplicationsThis lesson will focus on applications of trigonometric functions.Week 5Lesson 9Trig IdentitiesThis lesson will introduce trig identities.Lesson 10Trig Identities ContinuedThis lesson will continue work with trig identities.Week 6Lesson 11Trig Identities with Sum and Difference FormulasThis lesson will focus on trig identities using the sum and difference formulas.Lesson 12Double-Angle and Half-Angle FormulasThis lesson will focus on trig identities using the double-angle and half-angle formulas.Week 7Lesson 13Product FormulasThis lesson will focus on trig identities using the product formulas.Lesson 14Solving Trig EquationsThis lesson will review trig identities to solve trigonometric equations.Week 8Lesson 15The Law of CosinesThis lesson will introduce the Law of Cosines to solve oblique triangles and will include an introduction to the law of sines. Application work will be included.Lesson 16The Law of SinesThis lesson will formally introduce the Law of Sines to solve oblique triangle and will include the ambiguous case.Week 9Lesson 17Polar CoordinatesThis lesson will introduce polar coordinates.Lesson 18Polar FunctionsThis lesson will introduces polar functions.Week 10Lesson 19The Art of Polar GraphingThis lesson will explore the art of polar graphing.Lesson 20The Art of Polar Graphing ContinuedThis lesson will continue to explore the art of polar graphing.Week 11Lesson 21Parametric Functions Part 1This lesson will introduce parametric functions.Lesson 22Parametric Functions Part 2This lesson will use parametric functions to solve problems.Week 12Lesson 23Conic Sections: The CircleThis lesson will explore the circle.Lesson 24Conic Sections: The EllipseThis lesson will explore the ellipse.Week 13Lesson 25Conic Sections: The ParabolaThis lesson will explore the parabola.Lesson 26Conic Sections: The HyperbolaThis lesson will explore the hyperbola.Week 14Lesson 27Vectors Part 1This lesson will introduce vectors.Lesson 28Vectors Part 2This lesson will use vectors to solve problems.Week 15Lesson 29Introduction to MatricesThis lesson will introduce matrices.Lesson 30Using Matrices and ApplicationsThis lesson will use matrices to find solutions and solve problems.Week 16Lesson 31Trigonometry ReviewThis lesson will review second semester Pre-Calculus trigonometry.Lesson 32Trigonometry AssessmentThis lesson will provide an assessment for second semester Pre-Calculus trigonometry.
Students will be able to understand the properties of Trigonometric Functions and Foundational Calculus. Students will be able to model functions and apply Trigonometric Functions and Foundational Calculus to Real-World Problems. Students will be able to use transformations for Trig 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...
自分のペースで進められるクラス
￥100
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
開始日を選択してください
コンテンツへの 1 年間のアクセス
年齢: 14-18
