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  • Algebra
Quadrupling Leads to Halving
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This question provides students with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of n, then dividing the result of that operation into s. Students studying statistics encounter the expression in this question as the standard deviation of a sampling distribution with samples of size n when the distribution from which the sample is taken has standard deviation s.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Quinoa Pasta 2
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This task has some aspects of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are given all the relevant information on the nutritional labels, but they have to figure out how to use this information. They have to come up with the idea that they can set up two equations in two unknowns to solve the problem.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/13/2012
Quinoa Pasta 3
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CC BY
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This tasks is an example of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are only told that there are two ingredients in the pasta and they have a picture of the box. It might even be better to just show the picture of the box, or to bring in the box and ask the students to pose the question themselves.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/13/2012
Radical Equations
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CC BY
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The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one. The reason for this is that it is possible to have two unequal numbers whose squares are equal.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Random Matrix Theory and Its Applications
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CC BY-NC-SA
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This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.

Subject:
Algebra
Calculus
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Edelman, Alan
Win, Moe
Date Added:
02/01/2004
Rate and Music - Using Beats Per Minute
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In this lesson, students are introduced to rate in the context of music. They will explore beats per minute and compare rates using mathematical representations including graphs and double number lines.Key ConceptsBeats per minute is a rate. Musicians often count the number of beats per measure to determine the tempo of a song. A fast tempo produces music that seems to be racing, whereas a slow tempo results in music that is more relaxing. When graphed, sets with more beats per minute have smaller intervals on the double number line and steeper lines on the graph.Goals and Learning ObjectivesInvestigate rate in music.Find beats per minute by counting beats in music.Represent beats per minute on a double number line and a graph.

Subject:
Algebra
Ratios and Proportions
Material Type:
Lesson Plan
Author:
Jane Smith
Date Added:
05/25/2016
Ratio and Proportion
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CC BY-NC
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In this seminar you will have a better understanding of how to identify and write ratios and proportions,understand their relationship to each other, and use them in real-world contexts.StandardsMathematical PracticeCC.2.1.HS.F.2Apply properties of rational and irrational numbers to solve real world or mathematical problems.MP.1. Make sense of problems and persevere in solving them.MP.4. Model with mathematics.MP.5. Use appropriate tools strategically.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Tracy Rains
Date Added:
04/05/2018
Rational Equations and Functions
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CC BY-NC
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In this seminar you will learn how to identify, simplify and solve rational equations and functions.  You will understand how to use rational equations to solve real-world problems.StandardsCCSI: HS: Algebra: HSA-SSE.A. Interpret the structure of expressions.CCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Tracy Rains
Date Added:
04/03/2018
Rational Equations with Polynomials
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CC BY-NC
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In this seminar you will learn continue your study of rational equations.  These equations will contain polynomials and be a little more difficult than the previous seminar.  You will also further your understanding of how rational equations are used to solve real-world problems.StandardsCCSI: HS: Algebra: HSA-SSE.A. Interpret the structure of expressions.CCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Tracy Rains
Date Added:
04/03/2018
Rational & Irrational Number
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CC BY-NC
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In this seminar you will explore different types of numbers in math. You will learn to classify numbers into the categories of natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. You will see how some numbers can be classified in a few of these categories. Some important things to consider will be whether or not a decimal number terminates or repeats.StandardsCC.2.1.HS.F.2Apply properties of rational and irrational numbers to solve real world or mathematical problems. 

Subject:
Algebra
Material Type:
Lesson Plan
Author:
Tracy Rains
Date Added:
03/27/2018
Reading a Thermometer
Read the Fine Print
Educational Use
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In this video segment from Cyberchase, the CyberSquad learns how to read a thermometer as they try to keep their chocolate sculpture from melting.

Subject:
Algebra
Functions
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
The William and Flora Hewlett Foundation
WNET
Date Added:
08/29/2008
A Real World Example of Solving a Quadratic Equation in Movie CGI
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CC BY-NC-SA
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It is important to expose students to the beauty and usefulness of mathematics. Since computer graphics are familiar to most students due to video games and movies, they make a great source for motivating topics in mathematics. This activity shows students an application of solving quadratic equations to computing the line of sight to spherical objects in computer graphics.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Pittsburg State University
Author:
Cynthia J Huffman
Date Added:
04/01/2024
Remote Learning Plan: Absolute Value Equations: 8-11
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CC BY-NC-SA
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This Remote Learning Plan was created by Jill Edgren in collaboration with Tyler Cronin and Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 8 -11 grade students in Algebra. Students will solve absolute value equations. This Remote Learning Plan addresses the following NDE Standard: (MA 11.2.2.g) It is expected that this Remote Learning Plan will take students 30-90 minutes to complete, depending on choices. Here is the direct link to the Google Doc.https://docs.google.com/document/d/1BayA-AmxDQ28m5AAGMYVZXf569GbUM4bRZIKZb-HSxI/edit?usp=sharing

Subject:
Algebra
Mathematics
Material Type:
Homework/Assignment
Lesson Plan
Teaching/Learning Strategy
Author:
Jill Edgren
Date Added:
07/29/2020
Remote Learning Plan: Domain & Range Grades 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Elizabeth Hock in collaboration with Craig Hicks and Tyler Cronin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 9-12 mathematics students. Students will describe the domain and range of functions and use domain and range to create possible graphs of functions. This Remote Learning Plan addresses the following NDE Standard: MA 11.2.1.d Identify domain and range of functions represented in either algebraic or graphical form.It is expected that this Remote Learning Plan will take students 50 minutes to complete. Here is the direct link to the Google Doc: https://docs.google.com/presentation/d/1aidqqyXpJ_hOISMjn_qOTXoSu8Px_OrSxZ-iCp27pcQ/view

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Lesson Plan
Teaching/Learning Strategy
Author:
Elizabeth Hock
Date Added:
07/20/2020
Remote Learning Plan: Graph & Describe Functions Grades 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Elizabeth Hock in collaboration with Craig Hicks and Tyler Cronin as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 9-12 mathematics students. Students will use technology to graph and describe functions. This Remote Learning Plan addresses the following NDE Standard: MA 11.2.1 Algebraic Relationships: Students will demonstrate, represent, and show relationships with functions. It is expected that this Remote Learning Plan will take students 100 minutes to complete. Here is the direct link to the Google Doc: https://docs.google.com/presentation/d/1DsoE018GEbWmtkv2GaeH6WCvdnx_LpxfQ7t0xxnbBtU/view

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Lesson Plan
Teaching/Learning Strategy
Author:
Elizabeth Hock
Date Added:
07/20/2020
Remote Learning Plan Multiplying Polynomials 6-9, 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Deb Bulin in collaboration with Nick Ziegler as part of the 2019-20 ESU-NDE Digital Age Pedagogy Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.  The attached Remote Learning Plan is designed for a grade 6-9 math student studying algebra.  Students will: multiply polynomials using the box method or distributive property.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Eileen Barks
Date Added:
06/02/2020
Remote Learning Plan:  Polynomials Grades 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Danielle Reader in collaboration with Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 9-12 Math students. Students will demonstrate an understanding of adding and subtracting polynomials. This Remote Learning Plan addresses the following NDE Standard: MA 11.2.2.iIt is expected that this Remote Learning Plan will take students 90 minutes to complete.Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/150gu-KAjTWGjoWEyaMX9a2F0NNgerX0XjPy3EZiaZYI/edit?usp=sharing

Subject:
Algebra
Material Type:
Lesson Plan
Teaching/Learning Strategy
Author:
Danielle Reader
Date Added:
07/24/2020
Remote Learning Plan:  Polynomials Grades 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Danielle Reader in collaboration with Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 9-12 Math students. Students will demonstrate their understanding of multiplying polynomials. This Remote Learning Plan addresses the following NDE Standard: MA 11.2.2.iIt is expected that this Remote Learning Plan will take students 90 minutes to complete.Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/1ZcxEQef8wdaH5se1E-gKfp0yz3d40xJ0TImobGfJkv0/edit?usp=sharing

Subject:
Algebra
Material Type:
Lesson Plan
Teaching/Learning Strategy
Author:
Danielle Reader
Date Added:
07/24/2020
Remote Learning Plan:  Polynomials Grades 9-12
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CC BY-NC-SA
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This Remote Learning Plan was created by Danielle Reader in collaboration with Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 9-12 Math students. Students will demonstrate their understanding of dividing polynomials using synthetic division. This Remote Learning Plan addresses the following NDE Standard: MA 11.2.2.iIt is expected that this Remote Learning Plan will take students 90 minutes to complete.Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/1sE_hrEH6FMsv2vIeSZAMgzRmUSLgrRzGp93rUJdcq1g/edit?usp=sharing

Subject:
Algebra
Material Type:
Lesson Plan
Teaching/Learning Strategy
Author:
Danielle Reader
Date Added:
07/24/2020
Remote Learning Plan: Slope of a Line Grades 6-9 and 9-12
Conditional Remix & Share Permitted
CC BY-NC-SA
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This Remote Learning Plan was created by Deb Bulin in collaboration with Nick Ziegler as part of the 2019-20 ESU-NDE Digital Age Pedagogy Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic. The attached Remote Learning Plan is designed for a grade 6-9 math student studying slope of a line.  Students will: find the slope of a line between 2 points.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Eileen Barks
Date Added:
06/02/2020