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This task is a somewhat more complicated version of "Accurately weighing pennies I'' as a third equation is needed in order to solve part (a) explicitly. Instead, students have to combine the algebraic techniques with some additional problem-solving (numerical reasoning, informed guess-and-check, etc.)

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
08/15/2012
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CC BY-NC
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Understanding adding and subtracting polynomials.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomials.

Subject:
Algebra
Mathematics
Material Type:
Homework/Assignment
Author:
Bailey Hauswirth
03/08/2021
Conditional Remix & Share Permitted
CC BY-NC
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It is important to understand polynomials and to be able to classify them based on the number of terms, as well as recognize the coefficients, and degrees. You must also understand how to perform mathematical operations on them. This seminar will focus on combining polynomials using addition and subtraction. It will be important to understand the rules to make sure you are combining only like terms. You will apply techniques you have learned involving exponents and general addition and subtraction rules. You will use the techniques learned in this seminar to verify solutions to various other types of polynomial problems as you move forward. When adding and subtracting polynomials, you will first identify the like terms to combine polynomials to their simplest form.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomials.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Tracy Rains
03/29/2018
Only Sharing Permitted
CC BY-ND
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It is important to understand polynomials and to be able to classify them based on the number of terms, as well as recognize the coefficients, and degrees. You must also understand how to perform mathematical operations on them. This seminar will focus on combining polynomials using addition and subtraction. It will be important to understand the rules to make sure you are combining only like terms. You will apply techniques you have learned involving exponents and general addition and subtraction rules. You will use the techniques learned in this seminar to verify solutions to various other types of polynomial problems as you move forward. When adding and subtracting polynomials, you will first identify the like terms to combine polynomials to their simplest form.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomials.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Lecture Notes
Author:
Maggie Elgert
07/23/2020
Conditional Remix & Share Permitted
CC BY-NC
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In this seminar you will continue your learning of rational expressions adding and subtracting them as stand alone problems, as well as in real-world situations  You will continue to use strategies for simplifying complex situations into more solvable situations.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
04/03/2018
Unrestricted Use
CC BY
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Provider Set:
Author:
Salman Khan
02/07/2018
Conditional Remix & Share Permitted
CC BY-NC-SA
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Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
John Redden
11/18/2019
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CC BY-NC-SA
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Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

Intermediate Algebra clearly lays out the steps required to build the skills needed to solve a variety of equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, Intermediate Algebra was written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success.

The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
John Redden
12/29/2012
Unrestricted Use
CC BY
Rating
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This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
The Saylor Foundation
08/28/2013
Conditional Remix & Share Permitted
CC BY-SA
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In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.

Subject:
Algebra
Mathematics
Material Type:
Lecture Notes
Provider:
Look At Physics
Provider Set:
A Mathematical Way to Think About Biology
Author:
David Liao
10/08/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12's Texas Instruments Algebra I Student Edition Flexbook allows students to better utilize a graphing calculator in understanding the fundamental concepts of algebra.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
12/08/2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12's Texas Instruments Algebra I Teacher's Edition Flexbook allows an Instructor to teach students to better utilize a graphing calculator in understanding the fundamental concepts of algebra.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Jordan, Lori
12/13/2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Arithmetic with Polynomials and Rational Expressions to High Schoolers through a series of 4333 questions and interactive activities aligned to 26 Common Core mathematics skills.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Provider Set:
01/09/2015
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Basic Algebra FlexBook is an introduction to the algebraic topics of functions, equations, and graphs for middle-school and high-school students.

Subject:
Algebra
Functions
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Farbizio, Annamaria
Gloag, Andrew
Gloag, Anne
Kramer, Melissa
09/21/2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches High Schoolers how to create equations through a series of 298 questions and interactive activities aligned to 5 Common Core mathematics skills.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Provider Set:
01/09/2015
Unrestricted Use
CC BY
Rating
0.0 stars

CK-12 Algebra Explorations is a hands-on series of activities that guides students from Pre-K to Grade 7 through algebraic concepts.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Mary Cavanagh, Carol Findell, Carole Greenes
10/04/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Algebra Explorations is a hands-on series of activities that guides students from Pre-K to Grade 7 through algebraic concepts.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Teaching/Learning Strategy
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Carol ­ Findell, Mary ­Cavanagh, Carole ­Greenes
02/23/2012
Rating
0.0 stars

Introduce elementary students to the concept of functions by investigating growing patterns. Visual patterns formed with manipulatives are especially effective for elementary students and allow them to concretely build understanding as they first reproduce, then extend the pattern to the next couple of stages.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Teaching/Learning Strategy
Provider:
Mathwire
Author:
Terry Kawas
02/16/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Artin, Michael