80 US$
weeklyor 240 US$ for 15 classes
Geometría de secundaria: todo sobre círculos para estudiantes excepcionales
Nueva clase
Edades 12-16
Curso grupal en vivo
Puntuación media:
5.0
Número de reseñas:(337 opiniones)
Videoconferencias en vivo
5 x por semana, 3 semanas
3-7 alumnos por clase
50 min
Qué está incluido
15 reuniones en vivo
12 horas 30 minutos horas presencialesTareas
1 hora por semana. Students will complete independent practice problems at the end of each lesson.Evaluación
We will end the unit with a mastery assessment.Experiencia de clase
Nivel de inglés - A2
Nivel Intermediate
This is the seventh course in a year-long sequence which covers standards and ideas in Geometry. These courses are taught in small-groups to provide individual instruction and social-learning opportunities aligned with a social constructionist or situated cognition view of learning. The curriculum is problem-based this means instead of lectures or videos students work together as a small group to solve problems to discover principles and strategies with teacher guidance, as necessary. Therefore, we will spend approximately 90% of each class period working on problems and discussing them as a group. The use of discussion and problem-solving leads to generalized mathematics or proofs and students will construct their own models or proofs of real-world scenarios in project based assignments. This process prepares students well who may seek advanced mathematics in high-school or beyond. In this unit, we will focus on circles including tangents, arcs, sectors, and radians. For more detail of what will be covered in this course, please view the detailed syllabus for a day by day breakdown.
Metas de aprendizaje
HSG-CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arcHSG-C.A.2: Identify and describe relationships among inscribed angles, radii, and chords.
Include the relationship between central, inscribed, and circumscribed angles; inscribed angleson a diameter are right angles; the radius of a circle is perpendiculPrograma de estudios
Estándares
Alineado con Common Core State Standards (CCSS)15 Lecciones
más de 3 semanasLección 1:
Unit Readiness
We will complete a quick readiness check to introduce unit topics and allow for increased individualization with catered support and enrichment activities throughout the unit. 50 minutos de lección en vivo en línea
Lección 2:
Lines, Angles, and Curves
We will begin by introducing different line segments inside circles to spark the need for learning the vocabulary terms chord, central angle, and arc. We will develop these definitions based on examples and then prove a property of congruent chords. 50 minutos de lección en vivo en línea
Lección 3:
Inscribed Angles
We will encounter inscribed angles in circles and explore the relationship between inscribed angles and associated central angles. We will develop and attempt to prove conjectures about the relationship using similar triangles. 50 minutos de lección en vivo en línea
Lección 4:
Tangent Lines
We will learn the definition of tangents, learn to construct them and work with the tangent conjecture and it's converse and show that an angle circumscribed about a circle is supplementary to the central angle defined by the points where the angle is tangent to the circle. 50 minutos de lección en vivo en línea
Otros detalles
Necesidades de aprendizaje
This class is designed by an AUDHD/Dyspraxic Educator
- slides and fonts designed to support dyslexia and visual processing
- ability to type and use virtual drawing tools
- communication aids including chat
- ND Affirming classroom
Orientación para padres
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected.
Requisitos previos
Learners should have completed Algebra 1 and have prior experience with early high school geometry concepts.
Recursos externos
Además del aula de Outschool, esta clase utiliza:
Fuentes
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/
Pedagological Resources:
Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham.
Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7.
Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
Conoce al profesor
Experiencia y certificaciones del docente
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning.
Academic Experience:
Constructivism and Mathematics, Science, and Technology Education
This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions.
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators.
Math 1420: Logic, Problems, and Geometry for Math Teachers
This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens.
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