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數學家幾何：校對幾何完整課程（自訂進度）
Kristen LeGeyt M.Ed. Secondary Mathematics
明星教育家
平均評分：5.0評論數量：(213)
數學家校對幾何將涵蓋幾何高中內容，重點是幾何語言、重要技能、構造、解剖學、推理和證明。先修條件：代數 1（32 課）
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課堂經歷
美國等級 9 - 12
Proofing Geometry for Mathematicians will provide a complete Geometry curriculum covering 32 topics and can be completed in a 3 month (12 week) single semester by completing 3 topics 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 month, so families can...
4 units//32 lessons//16 Weeks
Unit 1ConstructionsConstructions8 lessons4 WeeksWeek 1Lesson 1Introduction to Euclidean Geometry and ConstructionsThis lesson is designed to introduce students to the compass and straightedge as we begin the constructions unit as well as explain what constructions are and where they came from.Lesson 2Constructing Line SegmentsThis lesson will teach students how to construct line segments with a compass and straightedge. We will also learn how to partition a line segment algebraically.Week 2Lesson 3Constructing AnglesThis lesson will teach students how to construct angles and we will also be defining angle properties.Lesson 4Constructing Perpendicular BisectorsThis lesson will teach students how to construct perpendicular bisectors. This lesson will use perpendicular bisectors both geometrically and algebraically.Week 3Lesson 5Constructing Angle BisectorsThis lesson will teach students how to construct angle bisectors. Angle bisectors will then be used for some application work.Lesson 6Constructing Parallel LinesThis lesson will teach students how to construct parallel lines. These constructions will then be done algebraically using coordinate geometry techniques.Week 4Lesson 7Constructing Perpendicular LinesThis lesson will teach students how to construct perpendicular lines. These constructions will then be done algebraically using coordinate geometry techniques.Lesson 8Constructing Centers of TrianglesThis lesson will use construction techniques to create the 4 different triangle centers-centroid, circumcenter, orthocenter and incenter and explore their properties as we review constructions.Unit 2Dissections: Formulas and FiguresDissections: Formulas and Figures8 lessons4 WeeksWeek 5Lesson 9Parallel Lines and TransversalsThis lesson will introduce relationships in parallel lines and transversals.Lesson 10Angles and TransversalsThis lesson will work more with angle measures from parallel lines and transversals.Week 6Lesson 11Puzzling Parallel ProofsThis lesson will use properties of parallel lines and transversals to solve for missing angles.Lesson 12Review of GeometryThis lesson will review basic concepts from the first 12 lessons and an assessment will be provided.Week 7Lesson 13Dissecting Area, Shaping FormulasThis lesson will use dissection to explore Area formulas for various triangles and quadrilaterals.Lesson 14More DissectionsThis lesson will continue to use dissection to explore Area formulas for various triangle and quadrilaterals.Week 8Lesson 15Dissections on the Coordinate PlaneThis lesson will apple dissections to the coordinate plane.Lesson 16Polygon Family Trees and Properties of PolygonsThis lesson will help students to organize all of the properties of polygons to build Theorems for use in proofs.Unit 3Triangle Proofs: Congruence and SimilarityTriangle Proofs: Congruence and Similarity8 lessons4 WeeksWeek 9Lesson 17Introduction to Proofs and TheoremsThis lesson will introduce the different styles of geometric proof and review the importance of theorems in geometric proofs.Lesson 18Side Side Side Triangle CongruenceThis lesson will let students discover where SSS comes from and begin triangle congruence proofs.Week 10Lesson 19Side Angle Side Triangle CongruenceThis lesson will let students discover where SAS comes from and continue to work on triangle congruence proofs.Lesson 20Angle Side Angle Triangle CongruenceThis lesson will let students discover where ASA comes from and continue to work on triangle congruence proofs.Week 11Lesson 21Angle Angle Side Triangle CongruenceThis lesson will let students discover where AAS comes from and continue to work on triangle congruence proofs.Lesson 22Special Cases: Side Side Angle? and Hypotenuse Leg Triangle CongruenceThis lesson will have students investigate SSA and will also explore special cases like HL while continuing to work on triangle congruence proofs.Week 12Lesson 23Exploring Triangle SimilarityThis lesson will investigate triangle similarity.Lesson 24Using Triangle SimilarityThis lesson will finish exploring triangle similarity and also use proportions to solve problems. This similarity thread will continue when we study transformations.Unit 4Trigonometry and Circle ProofsTrigonometry and Circle Proofs8 lessons4 WeeksWeek 13Lesson 25Exploring TrianglesThis lesson will work an origami set of tangrams to explore triangles in a more hands on way.Lesson 26Pythagorean Theorem and TriplesThis lesson will explore the Pythagorean Theorem in depth from a proof perspective and also discuss Pythagorean Triples.Week 14Lesson 27Right Triangle TrigonometryThis lesson will explore similarity and right triangle trigonometry (AKA SOHCAHTOA)Lesson 28Transformations in GeometryThis lesson will review transformations, focusing on the formulas used for transformations in Geometry.Week 15Lesson 29Properties of CirclesThis lesson will explore the properties of circles.Lesson 30Problem Solving with CirclesThis lesson will review different types of circle problems and how to identify the best techniques for problem solving when working with circles.Week 16Lesson 31Circle ProofsThis lesson will use circle properties to complete geometric two column proofs.Lesson 32Equations of CirclesThis lesson will connect circles back to algebra as students learn how to write equations of circles and graph them on a coordinate plane.
Students will be able to use reasoning to prove geometric concepts.
提供的家庭作業
A syllabus outlining the lessons and how each student and family can determine the best homework load for their situation is in the classroom. It is recommended to complete 2 lessons each week to complete in 16 weeks or to complete 1 lesson each week to complete in 32 weeks. 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. Optional enrichment activities and additional practice will also be available.0 每週課外時間
提供的評估
Assessments will be provided and can be formally graded or self-corrected.提供的成績
Please contact me if you are needing specific grades. Students typically self assess in self-paced classes and receive a course completion on their Outschool transcript. If your state standards require a formal transcript and grades we will work together to
Algebra 1
Students will need a calculator, geometry set including a geometric compass, straightedge, and protractor, and graph paper is recommended.
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.
明星教育家
平均評分：5.0評論數量：(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...
