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Integrating Chemistry & Algebra II
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Educational Use
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These lessons link the understanding of concepts in chemistry to skills learned in algebra II. Using systems of equations in solving problems, students are utilizing matrices to balance chemical reactions and direct and inverse variations. This fresh approach reinforces students’ understanding of the relationship between two disciplines that have traditionally been taught separately.

Subject:
Algebra
Chemistry
Mathematics
Physical Science
Material Type:
Lesson Plan
Provider:
North Carolina State University
Provider Set:
Kenan Fellows Program for Curriculum and Leadership Development
Author:
Jennifer Elmo
Date Added:
03/03/2016
CK-12 Algebra I Second Edition
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
06/23/2013
OpenStax College Algebra Lecture Guides
Unrestricted Use
CC BY
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These lecture guides will aid students as they progress through the first semester of College Algebra.  They highlight key concepts, allow for note-taking and problem examples to be recorded, and serve to improve student engagement with the material during instruction.

Subject:
Algebra
Material Type:
Student Guide
Author:
Christina Trunnell
Date Added:
05/06/2021
Linear Algebra: An Interactive Introduction
Conditional Remix & Share Permitted
CC BY-NC-SA
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This is a web-based, interactive, introductory linear algebra text. Interactive elements include auto-graded exercises, built-in GeoGebra activities, and Octave code. Topics include vectors and matrices, linear systems, vector spaces (R^n and abstract), linear transformations, eigenvalues, orthogonality, and determinants. Strong emphasis is placed on geometry and visualization. Several applications are included, and links to numerous applications are provided. To access the text directly, use https://ximera.osu.edu/oerlinalg/LinearAlgebra

Subject:
Mathematics
Material Type:
Textbook
Provider:
Ximera
Author:
Anna Davis
Paul Zachlin
Date Added:
01/10/2023
Algebraic Techniques and Semidefinite Optimization
Conditional Remix & Share Permitted
CC BY-NC-SA
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This research-oriented course will focus on algebraic and computational techniques for optimization problems involving polynomial equations and inequalities with particular emphasis on the connections with semidefinite optimization. The course will develop in a parallel fashion several algebraic and numerical approaches to polynomial systems, with a view towards methods that simultaneously incorporate both elements. We will study both the complex and real cases, developing techniques of general applicability, and stressing convexity-based ideas, complexity results, and efficient implementations. Although we will use examples from several engineering areas, particular emphasis will be given to those arising from systems and control applications.

Subject:
Algebra
Applied Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Parrilo, Pablo
Date Added:
02/01/2006
Math, Grade 7, Algebraic Reasoning
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CC BY-NC
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Algebraic Reasoning

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Add, subtract, multiply, and divide rational numbers.
Evaluate expressions for a value of a variable.
Use the distributive property to generate equivalent expressions including combining like terms.
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?
Write and solve equations of the form x+p=q and px=q for cases in which p, q, and x are non-negative rational numbers.
Understand and graph solutions to inequalities x<c or x>c.
Use equations, tables, and graphs to represent the relationship between two variables.
Relate fractions, decimals, and percents.
Solve percent problems included those involving percent of increase or percent of decrease.

Lesson Flow

This unit covers all of the Common Core State Standards for Expressions and Equations in Grade 7. Students extend what they learned in Grade 6 about evaluating expressions and using properties to write equivalent expressions. They write, evaluate, and simplify expressions that now contain both positive and negative rational numbers. They write algebraic expressions for problem situations and discuss how different equivalent expressions can be used to represent different ways of solving the same problem. They make connections between various forms of rational numbers. Students apply what they learned in Grade 6 about solving equations such as x+2=6 or 3x=12 to solving equations such as 3x+6=12 and 3(x−2)=12. Students solve these equations using formal algebraic methods. The numbers in these equations can now be rational numbers. They use estimation and mental math to estimate solutions. They learn how solving linear inequalities differs from solving linear equations and then they solve and graph linear inequalities such as −3x+4<12. Students use inequalities to solve real-world problems, solving the problem first by arithmetic and then by writing and solving an inequality. They see that the solution of the algebraic inequality may differ from the solution to the problem.

Subject:
Algebra
Mathematics
Material Type:
Unit of Study
Provider:
Pearson
Algebra Explorations, Pre-K through Grade 7
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
Date Added:
02/23/2012
Algebra - Basic (Student's Edition)
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
Date Added:
09/21/2010
Algebra I - Mixture Problems
Only Sharing Permitted
CC BY-NC-ND
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National Board Certified teacher Marlo Warburton introduces a fresh approach to teaching the notoriously difficult "mixture" word problems for Algebra I. Using an in-class demonstration and incorporating basic physics principles of weight and distance, Ms. Warburton helps her students visualize, solve -- and even enjoy! -- these challenging problems.

Subject:
Algebra
Education
Mathematics
Material Type:
Lesson Plan
Teaching/Learning Strategy
Provider:
Teaching Channel
Provider Set:
Teaching Channel
Date Added:
11/01/2012
Regularity conditions for Banach function algebras
Conditional Remix & Share Permitted
CC BY-NC-SA
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In June 2009 the Operator Algebras and Applications International Summer School was held in Lisbon. Dr Joel Feinstein taught one of the four courses available on Regularity conditions for Banach function algebras. He delivered four 90 minute lectures on and this learning object contains the slides, handouts, annotated slides and audio podcasts from each session.

Banach function algebras are complete normed algebras of bounded, continuous, complex-valued functions defined on topological spaces.

Subject:
Mathematics
Material Type:
Full Course
Lecture
Lecture Notes
Provider:
University of Nottingham
Author:
Dr Joel Feinstein
Date Added:
03/23/2017
Connecticut Intermediate Algebra Student Workbook
Conditional Remix & Share Permitted
CC BY-NC-SA
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Mathematics instructors at Scottsdale Community College in Scottsdale, Arizona originally created this workbook. Faculty from Housatonic Community College and Middlesex Community College collaborated and edited the book to fit Connecticut’s Intermediate Algebra outcomes. The included content is designed to lead students through Intermediate Algebra, from a functions modeling approach, and to develop a deep understanding of the concepts associated with functions,
data and change. The included curriculum is broken into eleven lessons. Each lesson includes the following components:

MINI-LESSON
• The Mini-Lesson is the main instructional component for each lesson.
• Ideas are introduced with practical applications.
• Worked Examples are provided for each topic in the Mini-Lesson. Read through these examples carefully. Use these as a guide for completing similar problems.
• Media Examples can be worked by watching online videos and taking notes/writing down the problem as written by the instructor. Video links can be found within the MyOpenMath (MOM) Online Homework Assessment System.
• You-Try problems help reinforce Lesson concepts and should be worked in the order they appear showing as much work as possible.

Subject:
Mathematics
Material Type:
Homework/Assignment
Author:
Marina Philips
Michael La Barbera
Pam Frost
Connecticut Intermediate Algebra OER Workgroup (CIAOW)
Date Added:
08/24/2018
From Patterns of Input and Output to Algebraic Equations
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Educational Use
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Students explore the relationship between input and output values and learn to use algebraic expressions and equations.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Author:
U.S. Department of Education
WNET
Date Added:
10/06/2008
OpenStax College Algebra Chapter 6 Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 6 of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Date Added:
07/30/2019