Dominio del binomio: triángulo de Pascal, teorema y probabilidad
En este curso de 3 semanas, los estudiantes aprenderán la estructura y el significado del teorema binomial y explorarán sus conexiones con la expansión binomial, el triángulo de Pascal y la probabilidad binomial.
Erin Townley
Puntuación media:
5.0
Número de reseñas:(1)
Qué está incluido
6 reuniones en vivo
4 horas 30 minutos horas presencialesTarea
1-2 horas por semana. Students will be given optional extra practice homework assignments after each class, so that they can check their own understanding of the topics prior to the next class period. Answer keys will be provided and questions will be addressed in the next class.Experiencia de clase
Nivel de inglés: desconocido
Grado de EE. UU. 9 - 12
Nivel Intermediate
This course is intended to give students an opportunity to learn about the concepts of Pascal's Triangle and the Binomial Theorem, as well as their properties, applications, and connections to probability. It is intended to be an introduction to these topics, so no prior understanding of them is required. However, it will be helpful for a learner to have an understanding of how to expand binomials and some basic probability. Although we will have a set amount of content to cover each class, the class dynamics and procedures will be tailored to the unique make-up of each group. Larger groups will have more opportunity to work with partners and small group dynamics, while smaller groups will have more individual check-ins with me. The class will meet twice a week, and each meeting is 45 min to allow for ample time to explore, discuss, and practice the concepts presented. I encourage my students to be active learners by asking and answering questions, offering explanations, etc., as this enriches the experience and the learning for all students. There will be no required homework assigned in this class, but optional homework assignments/extra practice will be provided after each class meeting for students to complete when needed.
Metas de aprendizaje
Students will understand how Pascal's Triangle can be used as a tool for binomial expansion.Students will make connections among Pascal's Triangle, binomial expansion, and the Binomial Theorem.
Programa de estudios
6 Lecciones
más de 3 semanasLección 1:
Intro to Binomial Expansion and Pascal's Triangle
In this lesson, students will explore the patterns that exist in binomial expansions and how those patterns relate to Pascal's Triangle. 45 minutos de lección en vivo en línea
Lección 2:
More with Binomial Expansion and Pascal's Triangle
In this lesson, we will expand on what was covered in the previous class and learn how to create full and partial expansions of binomials using Pascal's Triangle. 45 minutos de lección en vivo en línea
Lección 3:
The Binomial Theorem
In this lesson, we will define and analyze the Binomial Theorem, show how it connects to Pascal's Triangle and practice using it in a variety of problems. 45 minutos de lección en vivo en línea
Lección 4:
Challenge Problems with Binomial Theorem
In this lesson, we will work on solidifying and extending our understanding of the Binomial Theorem by tackling a variety of challenging, abstract problems related to the theorem and binomial expansion. 45 minutos de lección en vivo en línea
Otros detalles
Requisitos previos
Students should have completed at least an Algebra 1 course and be familiar with basic probability and binomial expansion.
Lista de útiles escolares
Paper Pen or Pencil a graphing calculator (I will be using the Numworks in class, but students can use what they have)
Recursos externos
Los estudiantes no necesitarán utilizar ninguna aplicación o sitio web más allá de las herramientas estándar de Outschool.
Se unió el June, 2024
5.0
1reseñas
Experiencia y certificaciones del docente
Texas Certificado de Docencia en Matemáticas
Maestría en Matemáticas desde University of Houston
Since learning about them in high school, Pascal's Triangle, the Binomial Theorem, and binomial probability have been one of my (many) favorite topics in math. As a student, I noticed that these topics seemed to appear in a wide variety of math courses and were often very challenging for students to understand and utilize effectively. As a teacher, I noticed that every year, this topic was listed as the most difficult by a majority of the students, so I've made it a goal to "demystify" this set of concepts.
In addition to my understanding of the importance of these topics and their value to a variety of areas of study, I have the following qualifications:
-B.A. in Mathematics from Rice University
-M.A in Mathematics from University of Houston
-Texas Teaching Certificate
-almost 15 years teaching and tutoring courses that teach and/or use these conceptsReseñas
Curso grupal en vivo
40 US$
semanalmente o 120 US$ por 6 clases2 x por semana, 3 semanas
45 min
Videoconferencias en vivo
Edades: 13-17
4-12 alumnos por clase
Asistencia financiera
Obtener la aplicación
Tutoría
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