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Un viaje a través de la geometría de la escuela secundaria - Parte 2
Karmen Kynard, M. Ed
Puntuación media:
4.9
Número de reseñas:(136)
En este curso de 11 semanas, los estudiantes continuarán su viaje a través de la Geometría para estudiar ángulos, congruencia, bisectrices, medianas, altitudes, desigualdades, polígonos, paralelogramos, dilataciones, similitudes, simetría y partes proporcionales.
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 concepts in the High School Geometry course. This is part 2 of the year-long course and it is recommended that students have taken part 1. During this course, we will get through 4 chapters. Students will apply previous mathematical experiences to solve real-world problems. Chapter 4: Triangles and Congruence This chapter dives into the fundamental properties of triangles, exploring concepts like triangle classification,...
4 units//33 lessons//11 Weeks
Unit 1Triangles and CongruenceTriangles and Congruence9 lessons3 WeeksWeek 1Lesson 1Angles of TrianglesLearn to identify and calculate the interior and exterior angles of triangles.Lesson 2Congruent TrianglesUnderstand criteria for triangle congruence.Lesson 3Proving Triangles Congruent (SSS, SAS)Prove triangle congruence using Side-Side-Side and Side-Angle-Side criteria.Week 2Lesson 4Mid Chapter Review & QuizReview and assess understanding of the first three lessons.Lesson 5Proving Triangles Congruent (ASA, AAS)Prove triangle congruence using Angle-Side-Angle and Angle-Angle-Side criteria.Lesson 6Proving Right Triangles CongruentUse hypotenuse-leg theorem to prove right triangles congruent.Week 3Lesson 7Isosceles and Equilateral TrianglesExplore properties and theorems related to isosceles and equilateral triangles.Lesson 8Triangles and Coordinate ProofUse coordinate geometry to prove properties of triangles.Lesson 9Review & TestComprehensive Review and Assessment over Triangles and Congruence.Unit 2Relationships in TrianglesRelationships in Triangles8 lessons3 WeeksWeek 4Lesson 10Bisectors in TrianglesStudy angle and perpendicular bisectors in triangles.Lesson 11Medians and Altitudes of TrianglesLearn about the significance of medians and altitudes in triangles.Lesson 12Inequalities in one TriangleAnalyze inequalities involving angles and sides within a single triangle.Week 5Lesson 13Mid Chapter Review & QuizReview and assess understanding of the previous 3 lessons.Lesson 14Indirect ProofUse indirect reasoning to prove statements about triangles.Lesson 15The Triangle InequalityUnderstand and apply the triangle inequality theorem.Week 6Lesson 16Inequalities in Two TrianglesCompare and contrast sides and angles in two different triangles.Lesson 17Review & TestComprehensive review and assessment of the relationships in Triangles.Unit 3QuadrilateralsQuadrilaterals8 lessons4 WeeksWeek 6Lesson 18Angles of PolygonsCalculate interior and exterior angles of various polygons.Week 7Lesson 19ParallelogramsIdentify and prove properties of parallelograms.Lesson 20Tests for ParallelogramsLearn tests to confirm if a quadrilateral is a parallelogram.Lesson 21Mid Chapter Review & QuizReview and assess understanding of parallelograms.Week 8Lesson 22Special Parallelograms: RectanglesStudy properties and theorems specific to rectangles.Lesson 23Special Parallelograms: Rhombus, SquaresExamine properties of rhombuses and squares.Lesson 24Trapezoids & KitesExplore properties and classification of trapezoids and kites.Week 9Lesson 25Review and TestComprehensive review and assessment of quadrilateralsUnit 4Proportions and SimilarityProportions and Similarity8 lessons3 WeeksWeek 9Lesson 26DilationsUnderstand and apply the concept of dilations in geometry.Lesson 27Similar PolygonsIdentify and prove similarity in polygons.Week 10Lesson 28Similar Triangles: AA SimilarityProve triangle similarity using Angle-Angle criterion.Lesson 29Symmetry: SSS and SAS SimilarityProve triangle similarity using Side-Side-Side and Side-Angle-Side criteria.Lesson 30Mid Chapter Review & QuizReview and assess understanding of similar triangles.Week 11Lesson 31Parallel Lines and Proportional PartsLearn properties involving parallel lines and proportional parts.Lesson 32Parts of Similar TrianglesStudy relationships between parts of similar triangles.Lesson 33Review and TestComprehensive review and assessment of proportions and similarity.
- Master triangle congruence criteria (SSS, SAS, ASA, AAS) and apply them in geometric proofs.
- Understand triangle properties and classifications to solve problems involving angles, sides, and congruence.
- Explore angle bisectors, medians, and altitudes to understand their geometric significance.
- Use triangle inequalities and indirect proofs to analyze and solve complex geometric problems.
- Identify and classify quadrilaterals based on their properties and special characteristics.
- Apply coordinate geometry to prove properties of quadrilaterals and solve geometric problems involving angles, sides, and diagonals.
- Understand criteria for similarity (AA similarity, SSS similarity, SAS similarity) in polygons and triangles.
- Apply proportions and scale factors to solve problems involving similar figures and real-world applications.
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.
2 - 4 horas semanales fuera de clase
Tarea
Frecuencia: 7 o más por semanaComentario: 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.
This course is designed to provide comprehensive coverage of the concepts in the High School Geometry course. This is part 2 of the year-long course and it is recommended that students have taken part 1.
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.
Se unió el February, 2019
4.9
136reseñas
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
