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• CCSS.Math.Content.HSF-LE.B.5 - Interpret the parameters in a linear or exponential function in terms ...
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A collection of relevant lessons to supplement your units in Algebra I/II. Mix these lessons into your course to show students the algebraic reasoning behind social issues, public health, the environment, business, sports, and more.

Subject:
Mathematics
Material Type:
Activity/Lab
Lesson
Lesson Plan
Author:
Skew The Script
01/31/2023
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"In this module, students synthesize and generalize what they have learned about a variety of function families.  They extend the domain of exponential functions to the entire real line (N-RN.A.1) and then extend their work with these functions to include solving exponential equations with logarithms (F-LE.A.4).  They explore (with appropriate tools) the effects of transformations on graphs of exponential and logarithmic functions.  They notice that the transformations on a graph of a logarithmic function relate to the logarithmic properties (F-BF.B.3).  Students identify appropriate types of functions to model a situation.  They adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit.  The description of modeling as, the process of choosing and using mathematics and statistics to analyze empirical situations, to understand them better, and to make decisions, is at the heart of this module.  In particular, through repeated opportunities in working through the modeling cycle (see page 61 of the CCLS), students acquire the insight that the same mathematical or statistical structure can sometimes model seemingly different situations.

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
09/16/2014
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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.)

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

English Description:
"In this module, students synthesize and generalize what they have learned about a variety of function families.  They extend the domain of exponential functions to the entire real line (N-RN.A.1) and then extend their work with these functions to include solving exponential equations with logarithms (F-LE.A.4).  They explore (with appropriate tools) the effects of transformations on graphs of exponential and logarithmic functions.  They notice that the transformations on a graph of a logarithmic function relate to the logarithmic properties (F-BF.B.3).  Students identify appropriate types of functions to model a situation.  They adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit.  The description of modeling as, the process of choosing and using mathematics and statistics to analyze empirical situations, to understand them better, and to make decisions, is at the heart of this module.  In particular, through repeated opportunities in working through the modeling cycle (see page 61 of the CCLS), students acquire the insight that the same mathematical or statistical structure can sometimes model seemingly different situations.

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
09/16/2014
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module, students extend their study of functions to include function notation and the concepts of domain and range. They explore many examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.

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
09/17/2013
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

(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 calificaciones anteriores, los estudiantes definen, evalúan y comparan las funciones y las usan para modelar las relaciones entre las cantidades. En este módulo, los estudiantes extienden su estudio de funciones para incluir la notación de la función y los conceptos de dominio y rango. Exploran muchos ejemplos de funciones y sus gráficos, centrándose en el contraste entre las funciones lineales y exponenciales. Interpretan funciones dadas gráfica, numérica, simbólica y verbalmente; traducir entre representaciones; y comprender las limitaciones de varias representaciones.

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

English Description:
In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module, students extend their study of functions to include function notation and the concepts of domain and range. They explore many examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.

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
09/17/2013
Educational Use
Rating
0.0 stars

This is a complete, full-year Algebra 1 course with tons of interactivity included in every lesson. Some lessons include videos, and all include interactives and newly added inline questions. Inline questions offer instant, per-answer feedback to help you learn by knowing why your answers are correct or incorrect. Every lesson also has specifically chosen 'Related Modalities' that teach the same concept in different ways. Related Modalities may be additional videos, interactives, or study guides (often written by students themselves). You can choose to use the resources directly embedded within the Algebra 1 FlexBook® 2.0 lessons, or learn Algebra your way by using the Related Modalities that are most effective for you!

Subject:
Algebra
Mathematics
Material Type:
Assessment
Homework/Assignment
Interactive
Textbook
Provider:
CK–12
Author:
ck12.org
03/01/2022
Unrestricted Use
CC BY
Rating
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In the task "Carbon 14 Dating'' the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant. The equation for the amount of Carbon 14 remaining in the preserved plant is in many ways simpler here, using 12 as a base.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/21/2012
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

Subject:
Algebra
Mathematics
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Educational Use
Rating
0.0 stars

Students act as Mars exploratory rover engineers, designing, building and displaying their edible rovers to a design review. To begin, they evaluate rover equipment and material options to determine which parts might fit in their given NASA budget. With provided parts and material lists, teams analyze their design options and use their findings to design their rovers.

Subject:
Applied Science
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ben Sprague
Chris Yakacki
Daria Kotys-Schwartz
Denise W. Carlson
Geoffrey Hill
Janet Yowell
Malinda Schaefer Zarske
10/14/2015
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This lesson unit is intended to help teachers assess how well students are able to: articulate verbally the relationships between variables arising in everyday contexts; translate between everyday situations and sketch graphs of relationships between variables; interpret algebraic functions in terms of the contexts in which they arise; and reflect on the domains of everyday functions and in particular whether they should be discrete or continuous.

Subject:
Functions
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Rating
0.0 stars

In this activity, students study gas laws at a molecular level. They vary the volume of a container at constant temperature to see how pressure changes (Boyle's Law), change the temperature of a container at constant pressure to see how the volume changes with temperature (Charles’s Law), and experiment with heating a gas in a closed container to discover how pressure changes with temperature (Gay Lussac's Law). They also discover the relationship between the number of gas molecules and gas volume (Avogadro's Law). Finally, students use their knowledge of gas laws to model a heated soda can collapsing as it is plunged into ice water.

Subject:
Chemistry
Education
Geoscience
Physical Science
Physics
Material Type:
Data Set
Diagram/Illustration
Interactive
Lecture Notes
Provider:
Concord Consortium
Provider Set:
Concord Consortium Collection
Author:
The Concord Consortium
12/11/2011
Conditional Remix & Share Permitted
CC BY-NC
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This seminar will allow you to solve a system of linear equations by graphing. It will help you to understand what it means when the lines in a system of equations are parallel, and also what it means for the graphs to be the same line. You will learn how to visually identify information about the system of equations simply by examining the graphs of the lines that make up the system.StandardsCC.2.2.HS.D.10Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Bonnie Waltz
Deanna Mayers
Tracy Rains
10/15/2017
Educational Use
Rating
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Students examine how the power output of a photovoltaic (PV) solar panel is affected by temperature changes. Using a 100-watt lamp and a small PV panel connected to a digital multimeter, teams vary the temperature of the panel and record the resulting voltage output. They plot the panel's power output and calculate the panel's temperature coefficient.

Subject:
Applied Science
Career and Technical Education
Electronic Technology
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Eszter Horanyi
Jack Baum Abby Watrous
Malinda Schaefer Zarske
Stephen Johnson
William Surles
09/18/2014
Unrestricted Use
CC BY
Rating
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This is a direct task suitable for the early stages of learning about exponential functions. Students interpret the relevant parameters in terms of the real-world context and describe exponential growth.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/01/2012
Only Sharing Permitted
CC BY-NC-ND
Rating
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There are billions of galaxies filled with billions of stars. Each star has the potential to have planets orbiting it. Does life exist on some of those planets? Explore the question, “Is there life in space?” Discover how scientists find planets and other astronomical bodies through the wobble (also known as Doppler spectroscopy or radial-velocity) and transit methods. Compare zones of habitability around different star types, discovering the zone of liquid water possibility around each star type. Explore how scientists use spectroscopy to learn about atmospheres on distant planets. You will not be able to answer the module's framing question at the end of the module, but you will be able to explain how scientists find distant planets and moons and how they determine whether those astronomical bodies could be habitable.

Subject:
Applied Science
Geology
Physical Science
Space Science
Technology
Material Type:
Lesson
Provider:
Concord Consortium
Provider Set:
Concord Consortium
Author:
Concord Consortium
12/12/2011
Educational Use
Rating
0.0 stars

Students use latex tubes and bicycle pumps to conduct experiments to gather data about the relationship between latex strength and air pressure. Then they use this data to extrapolate latex strength to the size of latex tubing that would be needed in modern passenger sedans to serve as hybrid vehicle accelerators, thus answering the engineering design challenge question posed in the first lesson of this unit. Students input data into Excel spreadsheets and generate best fit lines by the selection of two data points from their experimental research data. They discuss the y-intercept and slope as it pertains to the mathematical model they generated. Students use the slope of the line to interpret the data collected. Then they extrapolate with this information to predict the latex dimensions that would be required for a full-size hydraulic accumulator installed in a passenger vehicle.

Subject:
Algebra
Career and Technical Education
Mathematics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Carleigh Samson
02/17/2017
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CC BY-NC
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Modeling Our World with Mathematics Unit 4: Finances for Life Topic 1 - Introduction to Finance

Subject:
Mathematics
Material Type:
Module
Author:
Hannah Hynes-Petty
Washington OSPI OER Project
Washington OSPI Mathematics Department
Arlene Crum
10/12/2020
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CC BY-NC
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Modeling Our World with Mathematics Unit 4: Finances for Life Topic 2 - Loans and Consumer Credit

Subject:
Mathematics
Material Type:
Module
Author:
Hannah Hynes-Petty
Washington OSPI OER Project
Washington OSPI Mathematics Department
Arlene Crum
10/12/2020
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CC BY-NC
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Modeling Our World with Mathematics Unit 4: Finances for Life Topic 3 - Business

Subject:
Mathematics
Material Type:
Module
Author:
Hannah Hynes-Petty
Washington OSPI OER Project
Washington OSPI Mathematics Department
Arlene Crum
11/20/2020
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CC BY-NC
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Modeling Our World with Mathematics Unit 5: Digital World Topic 1 - Digital Presence

Subject:
Mathematics
Material Type:
Module
Author:
Hannah Hynes-Petty
Washington OSPI OER Project
Washington OSPI Mathematics Department
Arlene Crum