Geometría: congruencia y demostraciones para estudiantes excepcionales
Qué está incluido
20 reuniones en vivo
16 horas 40 minutos horas presencialesTareas
1 hora por semana. We will end the unit with a mastery assessment.Proyectos
Students will complete a modeling project in which they create a mathematical model to understand and propose a solution to a real world problem.Informe de progreso
incluidoExperiencia de clase
Nivel de inglés - B2+
Grado de EE. UU. 8 - 10
Nivel Intermediate
This is the second 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 the relationships between congruent parts of figures and congruent figures themselves. We will utilize transformations as tools for reasoning and making generalizations. Through these transformations, we will prove three theorems about triangle congruence: Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Side-Side-Side (SSS). As we establish these theorems, we will apply them to demonstrate properties of quadrilaterals, isosceles triangles, and other shapes. Finally, we will employ our skills to conjecture and investigate congruences and properties of quadrilaterals.
Metas de aprendizaje
CCSS.Math.Content.HSG.CO.B.6: Students will be able to use geometric descriptions of rigid motions to transform figures and predict the effects on these figures, and determine if two figures are congruent by analyzing their transformations.
CCSS.Math.Content.HSG.CO.B.7: Students will be able to demonstrate that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent, using the definition of congruence in terms of rigid motions.
Programa de estudios
Plan de estudios
Sigue en plan de estudios Teacher-CreatedEstándares
Alineado con Common Core State Standards (CCSS)20 Lecciones
más de 4 semanasLección 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:
Congruent Parts, Part 1
We will explore congruent figures and corresponding parts and use them to make conjectures about quadrilaterals based on transforming triangles.
50 minutos de lección en vivo en línea
Lección 3:
Congruent Parts, Part 2
We will continue to work with corresponding parts and explore using this to disprove congruence between figures. We will also begin our work on establishing congruence shortcuts for triangles.
50 minutos de lección en vivo en línea
Lección 4:
Congruent Triangles, Part 1
We will work on proofing triangle congruence using transformations based on work in unit one and use this to write proofs.
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.
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
90 US$
semanalmente o 360 US$ por 20 clases5 x por semana, 4 semanas
50 min
Completado por 6 alumnos
Videoconferencias en vivo
Edades: 12-15
2-6 alumnos por clase
Asistencia financiera
Tutoría
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