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The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly
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CC BY-NC-SA
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The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

Subject:
Algebra
Applied Science
Engineering
Mathematics
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Stephen M. Hou
Date Added:
06/02/2015
Augmented Reality and Parabola Challenge
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CC BY-NC
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This is a challenge based activity in which students use augmented reality and trial and error in order to determine how changes to a quadratic equation affect the shape of a parabola. Students use the Geogebra AR app to manipulate equations and change the parabola to fit around a physical object.

Subject:
Algebra
Applied Science
Computer Science
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Date Added:
06/16/2021
Augmented Reality and Parabola Challenge
Conditional Remix & Share Permitted
CC BY-NC
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This is a challenge based activity in which students use augmented reality and trial and error in order to determine how changes to a quadratic equation affect the shape of a parabola. Students use the Geogebra AR app to manipulate equations and change the parabola to fit around a physical object.

Subject:
Algebra
Applied Science
Computer Science
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Date Added:
12/05/2018
Averages
Read the Fine Print
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Khan Academy video tutorial with practice exercises. Introduction to averages and algebra problems involving averages.

Subject:
Algebra
Education
Mathematics
Material Type:
Lecture Notes
Teaching/Learning Strategy
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Author:
Sal Kahn
Date Added:
04/19/2011
Basic Algebra with Applications - 5th Edition
Conditional Remix & Share Permitted
CC BY-SA
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Chapter 1. Concepts
Chapter 2. Linear Equations
Chapter 3. Graphing
Chapter 4. Linear Systems
Chapter 5. Polynomial Equations
Chapter 6. Factoring Polynomials
Chapter 7. Rational Expressions
Chapter 8. Radicals
Chapter 9. Quadratic Equations

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Ivan G. Zaigralin
Date Added:
01/01/2020
Beginning Algebra
Conditional Remix & Share Permitted
CC BY-NC
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Beginning Algebra Student Workbook, is based upon Introductory Algebra Student Workbook, Sixth Edition, 2016, by Scottsdale Community College. The content is designed to lead students through Beginning Algebra. After briefly reviewing prealgebra tools, we develop the key concepts and skills associated with linear and quadratic functions, maintaining a modeling approach throughout, with emphasis on conceptual understanding and applications. The workbook assumes the knowledge of prealgebra. Access to a basic calculator is assumed and the use of one is required for some of the examples in the lessons and exercises .

Subject:
Algebra
Material Type:
Module
Author:
lenore desilets
Date Added:
07/11/2019
Beginning Algebra
Unrestricted Use
CC BY
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0.0 stars

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
Beginning Algebra Videos
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CC BY-NC
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Visually searchable database of Algebra 1 videos. Click on a problem and watch the solution on YouTube. Copy and paste this material into your CMS. Videos accompany the open Elementary Algebra textbook published by Flat World Knowledge.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
John Redden
Date Added:
04/29/2012
Beginning and Intermediate Algebra
Unrestricted Use
CC BY
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Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
Big Bend Community College
Author:
Tyler Wallace
Date Added:
01/29/2014
Bernardo and Sylvia Play a Game
Unrestricted Use
CC BY
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This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/21/2013
Braking Distance
Unrestricted Use
CC BY
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This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Building and Solving Equations 1
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 create and solve linear equations. In particular, the lesson will help you identify and help students who have the following difficulties: solving equations with one variable and solving linear equations in more than one way.

Subject:
Algebra
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Buying a Car
Unrestricted Use
CC BY
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The emphasis in this task is on the progression of equations, from two that involve different values of the sales tax, to one that involves the sales tax as a parameter. It is designed to foster the habit of looking for regularity in solution procedures, so that students don't approach every equation as a new problem but learn to notice familiar types.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
CCGPS Algebra 1
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CC BY-NC-SA
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Full course of Algebra 1 is presented online by Georgia Virtual Learning. Audio, video, text, games and activities are included to engage ninth grade students in learning.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Full Course
Reading
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
08/02/2013
CCIU: Algebra I Keystone Supplemental Instruction-Remediation
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CC BY-NC-SA
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Overview of how the Pennsylvania Common Core Standards for Mathematics are driving changes in classrooms and schools, and where resources can be found to support the implementation of those changes.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Assessment
Diagram/Illustration
Homework/Assignment
Interactive
Lesson Plan
Teaching/Learning Strategy
Provider:
OER Commons
Provider Set:
Common Core Reference Collection
Author:
Davide Henrich and Rose M. Marsh Ph.D.
Date Added:
02/27/2013