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Investigando Álgebra 2 Parte 3 (de 5)

Completado por 2 alumnos
Edades 14-18
Clase grupal
En esta parte de Álgebra 2 investigaremos funciones exponenciales, logarítmicas y polinomiales.
Puntuación media:
4.9
Número de reseñas:
(358 opiniones)

Videoconferencias en vivo
3 x por semana, 8 semanas
2-6 alumnos por clase
50 min

Qué está incluido

24 reuniones en vivo
20 horas presenciales
Tarea
2-4 horas por semana. Students will be assigned 3-5 worksheets a week. It will be up to the student to grade homework(answer keys provided). The teacher will ask about any questions and do a warm up each day with problems from homework. Graded assignments will not have answer key and will be turned in for grading. Students will be expected to complete fill in notes for homework if they did not fill them in during class. Screenshots and recordings of lessons will be posted to help with this.
Evaluación
Letter grades with only be given to students who turn in all assessment assignments (3 per class). If a student takes all five parts of Algebra 2, and completes the assessment assignments in each part along with the subject final then an assessment of skills will be written and given at the completion of part 5. I will not except any assignment handed in more than 2 weeks past the end of class. All students will receive a certificate of completion at the end of each part.
Calificación
incluido

Experiencia de clase

Nivel de inglés: desconocido
Grado de EE. UU. 9 - 12
In this part of Investigating Algebra two we will be focusing on furthering our knowledge of Exponential function as well as learn about logarithmic functions and polynomial functions. We will learn these skills with a combination of lecture, working on practice problems, inquire questions, and investigations.

Students will have 3 days of live instruction per week but will be assigned enough work for them to practice the skills 5 days a week. 

Grading: During this class 2 quizzes and a project will be assigned. If sent to teacher, they will be graded. At the end of class all students will receive a certificate of completion. Those who turned in all graded assignments will receive a grade. At the end of part 5 a final will be given. Students who complete the final will get a break down of skills assessment.

Materials
A ruler (12 inches and 30 cm)
Graph paper (Printable provided)
Notebook
Graphing calculator
Workbooks (printable in classroom)

Objectives
Determine the multiplier for exponential growth and decay
Write and evaluate exponential expressions to model growth and decay situations
Classify an exponential function as representing exponential growth or exponential decay. 
Calculate the growth of investments under various conditions.
Write equivalent forms for exponential and logarithmic equations.
Use the definitions of exponential and logarithmic functions to solve equations.
Simplify and evaluate expressions involving logarithms
Solve equations involving logarithms
Define and use the common logarithmic function to solve exponential and logarithmic equations.
Evaluate logarithmic expressions by using the change-of-base formula.
Evaluate natural exponential and natural logarithmic function
Model exponential growth and decay processes.
Solve logarithmic and exponential equations by using algebra and graphs
Model and solve real-world problems involving exponential and logarithmic relationships
Identify, evaluate, add, and subtract polynomials
Classify polynomials, and describe the shapes of their graphs
Identify and describe the important features of the graph of a polynomial function.
Use a polynomial function to model real-world data
Multiply polynomials and divide one polynomial by another by using long division and synthetic division
Use the remainder and factor theorems to solve problems.
Solve polynomial equations
Find the real zeros of polynomial functions and state the multiplicity of each
Use the rational root theorem and the complex conjugate root theorem to find the zeros of a polynomial function
Use the fundamental theorem to write a polynomial function given sufficient information about its zeros


Schedule: Subject to change
Week one: Workbook one: Exponential functions
Week two: Workbook one: Exponential functions
Week three: Workbook two: Logarithmic functions
Week four: Workbook two: Applications of common logarithms
Week five: Workbook two: The natural Base e
Week six: Workbook 3: Polynomial functions and their graphs
Week seven: Workbook 3: solving polynomial equations
Week eight: Bonus workbook: A preview of Transformations

I like to show the students the way math rules work so that it is easier to remember them. This way the curiosity of knowing how something works will move the gears of critical thinking. After I have shown them a pattern and why it works. I will ask them to apply it to a hard problem. If they can use these skills in different ways, I know they have mastered the concepts. I believe to memorize math is not understanding, but to apply math is not only understanding but fluency! To obtain this level of understanding, I will lead the students on a journey to discovering math through discussion, observation, and application of the math being used. If this is the kind of math class, you want then I am the teacher for you.

Metas de aprendizaje

Objectives
Determine the multiplier for exponential growth and decay
Write and evaluate exponential expressions to model growth and decay situations
Classify an exponential function as representing exponential growth or exponential decay. 
Calculate the growth of investments under various conditions.
Write equivalent forms for exponential and logarithmic equations.
Use the definitions of exponential and logarithmic functions to solve equations.
Simplify and evaluate expressions involving logarithms
Solve equations involving logarithms
Define and use the common logarithmic function to solve exponential and logarithmic equations.
Evaluate logarithmic expressions by using the change-of-base formula.
Evaluate natural exponential and natural logarithmic function
Model exponential growth and decay processes.
Solve logarithmic and exponential equations by using algebra and graphs
Model and solve real-world problems involving exponential and logarithmic relationships
Identify, evaluate, add, and subtract polynomials
Classify polynomials, and describe the shapes of their graphs
Identify and describe the important features of the graph of a polynomial function.
Use a polynomial function to model real-world data
Multiply polynomials and divide one polynomial by another by using long division and synthetic division
Use the remainder and factor theorems to solve problems.
Solve polynomial equations
Find the real zeros of polynomial functions and state the multiplicity of each
Use the rational root theorem and the complex conjugate root theorem to find the zeros of a polynomial function
Use the fundamental theorem to write a polynomial function given sufficient information about its zeros

Otros detalles

Lista de útiles escolares
Materials
A ruler (12 inches and 30 cm)
Graph paper (Printable provided)
Notebook
Graphing calculator
Workbooks (printable in classroom)
Recursos externos
Los estudiantes no necesitarán utilizar ninguna aplicación o sitio web más allá de las herramientas estándar de Outschool.

Conoce al profesor

Se unió el August, 2018
4.9
358reseñas
Perfil
Experiencia y certificaciones del docente
From August of 2014 till June 2018 I worked as an adjunct math instructor and the program coordinator of the learning lab at Southern WV Community and Technical College. As the program coordinator of the learning labs I saw a lot of student who had been taught to memorize math instead of discover math. My experience not only as a math instructor, but as a radio engineer and data analysts has led me to the belief that math is best learned through skill building, discussion, and discovery. 
I decided that I wanted to work with students starting in Pre-algebra, Algebra one, and Geometry. Currently I teach the following classes: (Make sure to scroll to the end to find out about office hours)
Pre-Algebra Year one:
Discovering Pre-Algebra Part one
In this class we will discover the organization and purpose of order of operations. How to perform order of operations with different types of rational numbers (exponents, square roots, decimals, fractions, integers, absolute value).
Discovering Pre-Algebra Part two
In this class we will discover proportional thinking and how it applies to different ideas in math (unit rates, unit conversions problems, discounts, tax, gratuity, markup’s, markdown’s, late fees, similar figures). We will also look at simple interest.
Discovering Pre-algebra Part three
In this class we will discover statistics and how to collect (Mean, median, mode, mid-range), display (box plots, stem and leaf, histograms, circle graph, and more), and interpret data (Venn diagram, tree diagram, Probability, and odds).

Pre-Algebra Year two
Discovering Pre-Algebra Part four
In this class we will discover the basics of Algebra (combining like terms, one and two step equations, one variable inequalities, absolute value equations, basics of exponents and radicals, scientific notation)
Discovering Pre-Algebra part five
In this class we will discover basic geometry skills for 2-d and 3-d shapes.
Discovering Pre-Algebra Part six
In this class we will discover graphing and linear equations.
Algebra one:
Discovering Algebra one: Part 1
Discovering Expression, Equations, Inequalities, linear equations and mathematical reasoning.

Discovering Algebra One Part 2
Shifting and reflecting Linear equations, Function families, domain and range, systems of equations and inequalities.
Discovering Algebra One Part 3
Discover the rules and properties of exponents and radicals. How to apply the Pythagorean Theorem and is converse to real life situation.

Discovering Algebra One Part 4
In the class you will work with polynomials, factoring and quadratic equations.

I love math and I hope that your learner finds my love for math infectious!

******* On Thursday, Friday and Saturday I have another job (well I babysit my grand babies) if you email during one of these days I may not be able to get back to you until Sunday or Monday. 

Reseñas



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