Geometría: construcciones y transformaciones rígidas para estudiantes excepcionales
En este riguroso curso de matemáticas, los estudiantes comenzarán la geometría explorando propiedades geométricas utilizando construcciones con regla y compás, definiendo formalmente transformaciones rígidas y construyendo pruebas utilizando análisis punto por punto.
Malikai Bass M.A
Puntuación media:
5.0
Número de reseñas:(316)
Popular
Qué está incluido
30 reuniones en vivo
25 horas presencialesEvaluación
Students will complete two modeling projects and complete a mid and end of unit assessment.Calificación
Written grade feedback available upon request.Experiencia de clase
Nivel de inglés - B1
Grado de EE. UU. 9 - 11
Nivel Intermediate
This is the first 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 explore geometric properties using constructions and build conjectures. We will formally define rigid transformations and work on shifting towards a point-by-point analysis which does not require a grid. We will prove statements involving angles and distances and explore proof writing.
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 arc.
Programa de estudios
Estándares
Alineado con Common Core State Standards (CCSS)3 Unidades
30 Lecciones
más de 6 semanasUnidad 1: Constructions
Lección 1:
Readiness Assessment
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:
Build It
We will begin working with compass and straight edges and expand on our understanding of circles and line segments. We will begin working with symbolic notations. 50 minutos de lección en vivo en línea
Lección 3:
Constructing Patterns
We will practice writing and following instructions regarding straightedge and compass moves as we build designs and practice constructions for parallel designs. 50 minutos de lección en vivo en línea
Lección 4:
Construction Techniques 1: Perpendicular Bisectors
We will understand the perpendicular bisector of a segment as a perpendicular line passing through the midpoint and understand distance without numbers. We will introduce the idea of a conjecture. 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. Students will also need to use a compass.
Requisitos previos
Learners should have completed Algebra 1
Se unió el April, 2021
5.0
316reseñas
Popular
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.
Reseñas
Curso grupal en vivo
80 US$
semanalmente o 480 US$ por 30 clases5 x por semana, 6 semanas
50 min
Completado por 6 alumnos
Videoconferencias en vivo
Edades: 12-15
3-6 alumnos por clase
