Students understand the meaning of exponents.

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Angela Vanderbloom
- Date Added:
- 07/04/2018

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Students understand the meaning of exponents.

- Subject:
- Mathematics
- Material Type:
- Lesson Plan
- Author:
- Angela Vanderbloom
- Date Added:
- 07/04/2018

Conditional Remix & Share Permitted

CC BY-NC-SA
In earlier modules, students analyze the process of solving equations and developing fluency in writing, interpreting, and translating between various forms of linear equations (Module 1) and linear and exponential functions (Module 3). These experiences combined with modeling with data (Module 2), set the stage for Module 4. Here students continue to interpret expressions, create equations, rewrite equations and functions in different but equivalent forms, and graph and interpret functions, but this time using polynomial functions, and more specifically quadratic functions, as well as square root and cube root functions.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 09/17/2013

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(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En módulos anteriores, los estudiantes analizan el proceso de resolver ecuaciones y desarrollar fluidez en la escritura, interpretación y traducción entre varias formas de ecuaciones lineales (Módulo 1) y funciones lineales y exponenciales (Módulo 3). Estas experiencias combinadas con el modelado con datos (Módulo 2), preparan el escenario para el módulo 4. Aquí los estudiantes continúan interpretando expresiones, crean ecuaciones, reescriben ecuaciones y funciones en formas diferentes pero equivalentes, y gráficos e interpretan funciones, pero esta vez utilizando polinomial funciones y funciones más específicamente cuadráticas, así como funciones de raíz de raíz cuadrada y de cubos.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:

In earlier modules, students analyze the process of solving equations and developing fluency in writing, interpreting, and translating between various forms of linear equations (Module 1) and linear and exponential functions (Module 3). These experiences combined with modeling with data (Module 2), set the stage for Module 4. Here students continue to interpret expressions, create equations, rewrite equations and functions in different but equivalent forms, and graph and interpret functions, but this time using polynomial functions, and more specifically quadratic functions, as well as square root and cube root functions.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 09/17/2013

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The resource leads to an interactive website where students can learn and practice arithmetic essentials. Currently these are Mean and Median, Exponents, Square Roots and Arithmetic Sequences. I hope to be expanding the website as time allows.

- Subject:
- Mathematics
- Numbers and Operations
- Material Type:
- Interactive
- Lesson
- Module
- Author:
- Jerry Pappas
- Date Added:
- 04/22/2021

Unrestricted Use

CC BY
This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)

- Subject:
- Algebra
- Mathematics
- Material Type:
- Full Course
- Provider:
- The Saylor Foundation
- Date Added:
- 04/16/2012

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Educational Use
In their reading from activity 1 of this unit, students should have discovered the term "logarithm." It is at this point that they begin their study of logarithms. Specifically, students examine the definition, history and relationship to exponents; they rewrite exponents as logarithms and vice versa, evaluating expressions, solving for a missing piece. Students then study the properties of logarithms (multiplication/addition, division/subtraction, exponents). They complete a set of practice problems to apply the skills they have learned (rewriting logarithms and exponents, evaluating expressions, solving/examining equations for a missing variable.) Then they complete a short quiz covering what they have studied thus far concerning logarithms (problems similar to the practice problems). They consider how what they have learned moves them closer to answering the unit's challenge question.

- Subject:
- Applied Science
- Engineering
- Material Type:
- Lesson Plan
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Kristyn Shaffer
- Date Added:
- 09/18/2014

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Educational Use
Students continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms—common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why they are useful, and how to convert to these forms by using the change of base formula. Then students see how these types of logarithms can be applied to solve exponential equations. They compute a set of practice problems and apply the skills learned in class.

- Subject:
- Applied Science
- Engineering
- Material Type:
- Lesson Plan
- Provider:
- TeachEngineering
- Provider Set:
- TeachEngineering
- Author:
- Kristyn Shaffer
- Date Added:
- 09/18/2014

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This is designed to be homework after you teach the interest formula

- Subject:
- Numbers and Operations
- Material Type:
- Activity/Lab
- Assessment
- Homework/Assignment
- Author:
- Shannay Witte
- Date Added:
- 07/14/2020

Unrestricted Use

CC BY
The purpose of this task is to introduce the idea of exponential growth and then connect that growth to expressions involving exponents. It illustrates well how fast exponential expressions grow.

- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 05/01/2012

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Some Rights Reserved
This math problem demonstrates the concept of geometric progression, through an example of a million dollar contract between an employee and an employer. Application of the concept of geometric progression to social cause activism is addressed. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

- Subject:
- Geoscience
- Mathematics
- Physical Science
- Material Type:
- Lecture Notes
- Provider:
- NASA
- Provider Set:
- NASA Wavelength
- Date Added:
- 11/05/2014

Unrestricted Use

CC BY
The Exponents and Radicals module is separated into two parts -- exponents and radicals. Each part has two subtopics. Each subtopic has a video lecture page and a practice assignment. The video lecture page includes guided notes in pdf form and videos that follow the guided notes. There are also Word document versions of the notes in the "files" section of this course for instructor convenience. Each video lecture page also includes supplemental YouTube videos which are optional for students and may be used if further instruction is needed. The practice assignment is a set of exercises in Derivita that correspond to the skills covered in the video lecture.There are also two review assignments in this module -- one for exponents and one for radicals. These assignments cover everything from that part of the module, rather than being broken up into parts like the practice assignments. So there are a total of six assignments in the module and instructors can choose which assignments are most appropriate for their students' needs.This work, by Madilyn Marshall, is licensed under a Creative Commons Attribution 4.0 International License.CC-BY

- Subject:
- Algebra
- Education
- Mathematics
- Trigonometry
- Material Type:
- Homework/Assignment
- Lecture
- Lecture Notes
- Lesson
- Module
- Author:
- Linda Neff
- Madilyn Marshall
- Date Added:
- 08/23/2023

Unrestricted Use

CC BY
The Factoring module is separated into two parts -- factoring numbers and factoring algebraic expressions. Each part has subtopics. Each subtopic has a video lecture and a practice assignment. The video lecture page includes guided notes in pdf form and videos that follow the guided notes. Each video lecture page also includes supplemental YouTube videos which are optional for students and may be used if further instruction is needed. The practice assignment is a set of exercises in Derivita that correspond to the skills covered in the video lecture.This work, by Magdalene (Maxie) Inigo, is licensed under a Creative Commons Attribution 4.0 International License.Links to an external site.CC-BY

- Subject:
- Algebra
- Education
- Mathematics
- Trigonometry
- Material Type:
- Homework/Assignment
- Lecture Notes
- Lesson
- Module
- Author:
- Linda Neff
- Date Added:
- 08/23/2023

Unrestricted Use

CC BY
Student-facing 8th grade math resources. Covers transformations & congruence, slope, similarity, linear relationships, associations in data, volume, functions, scientific notation, the pythagorean theorem and irrational numbers.

- Subject:
- Mathematics
- Material Type:
- Unit of Study
- Provider:
- Open Up Resources
- Date Added:
- 05/21/2019

Conditional Remix & Share Permitted

CC BY-NC-SA
In Grade 8 Module 1, students expand their basic knowledge of positive integer exponents and prove the Laws of Exponents for any integer exponent. Next, students work with numbers in the form of an integer multiplied by a power of 10 to express how many times as much one is than the other. This leads into an explanation of scientific notation and continued work performing operations on numbers written in this form.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

- Subject:
- Mathematics
- Numbers and Operations
- Material Type:
- Module
- Provider:
- New York State Education Department
- Provider Set:
- EngageNY
- Date Added:
- 05/14/2013

Conditional Remix & Share Permitted

CC BY-NC-SA
In this classic hands-on activity, learners estimate the length of a molecule by floating a fatty acid (oleic acid) on water. This lab asks learners to record measurements and make calculations related to volume, diameter, area, and height. Learners also convert meters into nanometers. Includes teacher and student worksheets but lacks in depth procedure information. The author suggests educators search the web for more complete lab instructions.

- Subject:
- Chemistry
- Physical Science
- Material Type:
- Activity/Lab
- Provider:
- Exploratorium
- Author:
- Eric Muller
- The Exploratorium
- Date Added:
- 11/07/2007

Unrestricted Use

CC BY
The goal of this task is to get students to focus on the shape of the graph of the equation y=ex and how this changes depending on the sign of the exponent and on whether the exponential is in the numerator or denominator. It is also intended to develop familiarity, in the case of f and k, with the functions which are used in logistic growth models, further examined in ``Logistic Growth Model, Explicit Case'' and ``Logistic Growth Model, Abstract Verson.''

- Subject:
- Functions
- Mathematics
- Material Type:
- Activity/Lab
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Author:
- Illustrative Mathematics
- Date Added:
- 08/17/2012

Only Sharing Permitted

CC BY-NC-ND
This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.

- Subject:
- Geometry
- Mathematics
- Material Type:
- Assessment
- Lesson Plan
- Provider:
- Shell Center for Mathematical Education
- Provider Set:
- Mathematics Assessment Project (MAP)
- Date Added:
- 04/26/2013

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Educational Use
This unit is designed to give students an introduction to this pressing societal problems and to teach students how to analyze some of the compiled data on global warming through rates, ratios and proportions; students will also learn to make projections and predictions using slope, and linear and exponential functions.

To teach this unit, the teacher has to have at least a general knowledge of global warming, the greenhouse effect, and the carbon cycle. I thought that it was important to explain the basics of these topics. This unit is designed as a math unit, to help students gain a deeper understanding of linear functions, slope, exponential functions, as well as rates, ratios and proportions. Global warming, the carbon cycle, and the greenhouse effect, will be the real life application to which we will apply our mathematics.

- Subject:
- Applied Science
- Environmental Science
- Mathematics
- Material Type:
- Lesson Plan
- Unit of Study
- Provider:
- Yale-New Haven Teachers Institute
- Provider Set:
- 2021 Curriculum Units Volume III
- Date Added:
- 08/01/2021

Conditional Remix & Share Permitted

CC BY-NC-SA
This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.

- Date Added:
- 07/08/2021

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