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Un viaje a través de la geometría de la escuela secundaria - Parte 1
Experiencia de clase
Nivel de inglés: desconocido
Grado de EE. UU. 9 - 12
Nivel Beginner - Intermediate
This course is designed to provide comprehensive coverage of the fundamental concepts in a High School Geometry curriculum. Throughout the duration of the course, we will cover the first three chapters, focusing on foundational principles, logical reasoning, and geometric transformations. Students will draw on their previous mathematical experiences to solve real-world problems, enhancing their analytical and problem-solving skills. Chapter 1: The Tools of Geometry In this chapter, students...
3 units//33 lessons//11 Weeks
Unit 1The Tools of GeometryThe Tools of Geometry12 lessons4 WeeksWeek 1Lesson 1Points, Lines, and PlanesIntroduction to the basic undefined terms in geometry and their relationships.Lesson 2Line Segments & DistanceLearning about line segments, their lengths, and the concept of distance between points.Lesson 3Locating Points & Midpoints (Part 1)Exploring the coordinate plane, plotting points, and finding midpoints of segments.Week 2Lesson 4Locating Points & Midpoints (Part 2)Continuing to explore the coordinate plane, plotting points, and finding midpoints of segments.Lesson 5Angle MeasureUnderstanding angles, their measures, and different types of angles.Lesson 6Mid Chapter Review & QuizReviewing concepts learned so far and assessing understanding through a quiz.Week 3Lesson 7Transformations in the PlaneInvestigating translations, rotations, reflections, and their properties.Lesson 8Three-Dimensional FiguresIntroduction to three-dimensional shapes and their characteristics.Lesson 9Two Dimensional Representations of 3 Dimensional FiguresLearning to represent 3D figures in 2D through nets and projections.Week 4Lesson 10Precision & AccuracyUnderstanding and differentiating between precision and accuracy in geometric contexts.Lesson 11Review & TestComprehensive review of Chapter 1 and a test to evaluate understanding of the chapter concepts.Lesson 12Conjectures & CounterexamplesExploring the formation of conjectures and identifying counterexamples to disprove them.Unit 2Logical Arguments & Line RelationshipsLogical Arguments & Line Relationships14 lessons5 WeeksWeek 5Lesson 13tatements, Conditionals & Biconditionals (Part 1)Understanding different types of logical statements, including conditionals, converses, inverses, and biconditionals.Lesson 14tatements, Conditionals & Biconditionals (Part 2)Understanding different types of logical statements, including conditionals, converses, inverses, and biconditionals continued.Lesson 15Deductive ReasoningLearning about deductive reasoning and how to use it to draw logical conclusions.Week 6Lesson 16Writing Proofs (Part 1)Developing skills to write formal geometric proofs, including two-column and paragraph proofs.Lesson 17Writing Proofs (Part 2)Continuing to develop skills to write formal geometric proofs, including two-column and paragraph proofs.Lesson 18Mid Chapter Review & QuizReviewing key concepts and assessing understanding through a quiz.Week 7Lesson 19Proving Segment RelationshipsApplying proof techniques to demonstrate segment relationships, such as congruence and midpoint.Lesson 20Proving Angle RelationshipsUsing proofs to establish various angle relationships, including complementary, supplementary, and vertical angles.Lesson 21Parallel Lines & TransversalsInvestigating the properties of parallel lines cut by a transversal and the resulting angle relationships.Week 8Lesson 22Slope and Equations of Lines (Part 1)Exploring the concept of slope, writing equations of lines, and analyzing their relationships.Lesson 23Slope and Equations of Lines (Part 2)Continuing to explore the concept of slope, writing equations of lines, and analyzing their relationships.Lesson 24Proving Lines ParallelUsing various methods to prove that lines are parallel based on angle relationships and slopes.Week 9Lesson 25Perpendiculars and DistanceUnderstanding perpendicular lines, their properties, and calculating distances in the coordinate plane.Lesson 26Review & TestComprehensive review of Chapter 2 and a test to evaluate understanding of the chapter concepts.Unit 3Rigid Transformations & SymmetryRigid Transformations & Symmetry7 lessons3 WeeksWeek 9Lesson 27ReflectionsLearning about reflections across lines and their properties.Week 10Lesson 28TranslationsExploring translations and how they move figures without altering their shape or size.Lesson 29RotationsUnderstanding rotations around a point and the characteristics of rotated figures.Lesson 30Mid Chapter Review & QuizReviewing the concepts of reflections, translations, and rotations, followed by a quiz.Week 11Lesson 31Composition of TransformationsCombining multiple transformations and analyzing their cumulative effects on figures.Lesson 32SymmetryInvestigating different types of symmetry, including line and rotational symmetry.Lesson 33Review and TestComprehensive review of Chapter 3 and a test to evaluate understanding of the chapter concepts.
Esta clase se imparte en Inglés.
- Understand points, lines, planes, and their relationships; calculate distances and midpoints; classify angles; and explore geometric transformations.
- Recognize and describe three-dimensional figures, represent them in two dimensions, and emphasize precision in geometric measurements and constructions.
- Develop skills in forming conjectures, using counterexamples, and applying logical reasoning to geometric arguments and statements.
- Master the art of writing geometric proofs, including two-column and paragraph formats, to rigorously prove segment and angle relationships, and understand properties of lines, including parallel lines, transversals, and equations involving slope.
- Master reflections, translations, and rotations; understand their impact on figures, and comprehend the composition of transformations.
- Identify line and rotational symmetry, create symmetric figures, and apply symmetry in design and architecture contexts.
I am certified to teach children for grades K-12. I have been working in education for many years and have seen students gain success with interactive programs. As a special educator, I have learned different techniques to work with all students to support their learning It is my knowledge, skill set, and love of learning that would make me a great educator for your child.
4+ horas semanales fuera de clase
Tarea
Frecuencia: 7 o más durante toda la claseComentario: incluidoDetalles: Homework is assigned at the end of each class and reviewed in class only if many students have questions. Feedback can also be provided independently upon request.Evaluación
Frecuencia: 3-6 durante toda la claseDetalles: Students will be assessed with a mid chapter quiz and a test at the end of each topic. There will be a review and practice to ensure that students are learning what they are supposed to be learning.
Students should have taken an Algebra course before enrolling in Geometry.
1 archivo disponible al momento de la inscripciónMost materials will be provided by the instructor. This will include worksheets and assignments needed to review. Students will need access to a printer to print notes and assignments. A basic calculator may be needed (TI-30x) or a graphing calculator (TI-84). If students have access to a smartphone or tablet, they can use a calculator app similar to Graphing Calc 2. They can also use the scientific calculator at desmos.com/scientific or the graphing calculator at desmos.com/graphing. These are my favorites. Students should also have blank paper (lined or unlined) for taking notes and writing examples, graph paper for the graphing sections, a ruler for creating straight lines and angles, a compass, and a protractor.
Parents should be aware that this course is a fast paced high school geometry course and students will be expected to have some knowledge of geometric skills. Third Party Tools: This class has the occasional use of Nearpod for review and assessments/quizzes during class and Kahoot for a fun review during class. YouTube video links that can can be viewed at home if the family chooses may be posted in the classroom for extra support on more challenging topics. Please note: if there isn't anyone in attendance, there will not be a class recording. I will wait in the class for the first ten minutes. If no one arrives after that, I will leave. I will post notes of what was to be discussed during class.
Experiencia y certificaciones del docente
Hello! My name is Karmen. My students call me Miss K. I am a certified Educator for grades K-12, serving students in a General Education and Special Education setting. I graduated in 2008 with my Master's in Education from Bowling Green State...
Reseñas
Clase grupal
60 US$
semanalmente o 660 US$ por 33 clases3 x por semana, 11 semanas
55 min
Videoconferencias en vivo
Edades: 13-17
1-8 alumnos por clase
Asistencia financiera
Tutoría
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