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Un viaje a través de la geometría de la escuela secundaria - Parte 1

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Karmen Kynard, M. Ed
Puntuación media:
4.9
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(136)
En este curso de 11 semanas, los estudiantes comenzarán su viaje a través de la Geometría para estudiar aplicaciones del mundo real a través de un razonamiento lógico riguroso, pruebas geométricas integrales y el dominio de las transformaciones y la simetría.

Experiencia de clase

Nivel de inglés: desconocido
Grado de EE. UU. 9 - 12
Nivel Beginner - Intermediate
3 units//33 lessons//11 Weeks
Unit 1The Tools of Geometry
12 lessons4 Weeks
The Tools of Geometry
 Week 1
Lesson 1
Points, Lines, and Planes
Introduction to the basic undefined terms in geometry and their relationships.
Lesson 2
Line Segments & Distance
Learning about line segments, their lengths, and the concept of distance between points.
Lesson 3
Locating Points & Midpoints (Part 1)
Exploring the coordinate plane, plotting points, and finding midpoints of segments.
 Week 2
Lesson 4
Locating Points & Midpoints (Part 2)
Continuing to explore the coordinate plane, plotting points, and finding midpoints of segments.
Lesson 5
Angle Measure
Understanding angles, their measures, and different types of angles.
Lesson 6
Mid Chapter Review & Quiz
Reviewing concepts learned so far and assessing understanding through a quiz.
 Week 3
Lesson 7
Transformations in the Plane
Investigating translations, rotations, reflections, and their properties.
Lesson 8
Three-Dimensional Figures
Introduction to three-dimensional shapes and their characteristics.
Lesson 9
Two Dimensional Representations of 3 Dimensional Figures
Learning to represent 3D figures in 2D through nets and projections.
 Week 4
Lesson 10
Precision & Accuracy
Understanding and differentiating between precision and accuracy in geometric contexts.
Lesson 11
Review & Test
Comprehensive review of Chapter 1 and a test to evaluate understanding of the chapter concepts.
Lesson 12
Conjectures & Counterexamples
Exploring the formation of conjectures and identifying counterexamples to disprove them.
Unit 2Logical Arguments & Line Relationships
14 lessons5 Weeks
Logical Arguments & Line Relationships
 Week 5
Lesson 13
tatements, Conditionals & Biconditionals (Part 1)
Understanding different types of logical statements, including conditionals, converses, inverses, and biconditionals.
Lesson 14
tatements, Conditionals & Biconditionals (Part 2)
Understanding different types of logical statements, including conditionals, converses, inverses, and biconditionals continued.
Lesson 15
Deductive Reasoning
Learning about deductive reasoning and how to use it to draw logical conclusions.
 Week 6
Lesson 16
Writing Proofs (Part 1)
Developing skills to write formal geometric proofs, including two-column and paragraph proofs.
Lesson 17
Writing Proofs (Part 2)
Continuing to develop skills to write formal geometric proofs, including two-column and paragraph proofs.
Lesson 18
Mid Chapter Review & Quiz
Reviewing key concepts and assessing understanding through a quiz.
 Week 7
Lesson 19
Proving Segment Relationships
Applying proof techniques to demonstrate segment relationships, such as congruence and midpoint.
Lesson 20
Proving Angle Relationships
Using proofs to establish various angle relationships, including complementary, supplementary, and vertical angles.
Lesson 21
Parallel Lines & Transversals
Investigating the properties of parallel lines cut by a transversal and the resulting angle relationships.
 Week 8
Lesson 22
Slope and Equations of Lines (Part 1)
Exploring the concept of slope, writing equations of lines, and analyzing their relationships.
Lesson 23
Slope and Equations of Lines (Part 2)
Continuing to explore the concept of slope, writing equations of lines, and analyzing their relationships.
Lesson 24
Proving Lines Parallel
Using various methods to prove that lines are parallel based on angle relationships and slopes.
 Week 9
Lesson 25
Perpendiculars and Distance
Understanding perpendicular lines, their properties, and calculating distances in the coordinate plane.
Lesson 26
Review & Test
Comprehensive review of Chapter 2 and a test to evaluate understanding of the chapter concepts.
Unit 3Rigid Transformations & Symmetry
7 lessons3 Weeks
Rigid Transformations & Symmetry
 Week 9
Lesson 27
Reflections
Learning about reflections across lines and their properties.
 Week 10
Lesson 28
Translations
Exploring translations and how they move figures without altering their shape or size.
Lesson 29
Rotations
Understanding rotations around a point and the characteristics of rotated figures.
Lesson 30
Mid Chapter Review & Quiz
Reviewing the concepts of reflections, translations, and rotations, followed by a quiz.
 Week 11
Lesson 31
Composition of Transformations
Combining multiple transformations and analyzing their cumulative effects on figures.
Lesson 32
Symmetry
Investigating different types of symmetry, including line and rotational symmetry.
Lesson 33
Review and Test
Comprehensive 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 clase
Comentario: incluido
Detalles: 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 clase
Detalles: 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 inscripción
Most 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.
Además del aula de Outschool, esta clase utiliza:
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.
Se unió el February, 2019
4.9
136reseñas
Perfil
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... 

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60 US$

semanalmente o 660 US$ por 33 clases
3 x por semana, 11 semanas
55 min

Videoconferencias en vivo
Edades: 13-17
1-8 alumnos por clase

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