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  • Algebra
Using Concrete Manipulatives to Generate Algebraic Patterns
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Educational Use
Using Concrete Manipulatives to Generate Algebraic Patterns
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Using manipulatives, students figure out patterns in problems involving seating arrangements. They write algebraic equations to describe the relationships.

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:
09/26/2008
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Using Two Variables to Express Algebraic Relationships
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Educational Use
Using Two Variables to Express Algebraic Relationships
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Students are introduced to algebraic expressions that use more than one variable and have multiple solutions. They figure out combinations of two items at different costs, with each combination adding up to 100.

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:
07/24/2008
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The Variable Machine
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The Variable Machine
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This lesson from Illuminations provides an introduction to the use of variables, and develops students' algebraic thinking. Students create variable machines to discover the value of words by assigning each letter of the alphabet a unique number value. Learning objectives, a materials list, a pdf file of the student worksheet, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are provided.

Subject:
Algebra
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Gilbert Cuevas and Karol Yeatts
Date Added:
11/05/2008
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Vector Addition: Determining the Displacement Between Two Points in Your School
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CC BY-NC-SA
Vector Addition: Determining the Displacement Between Two Points in Your School
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This activity is a indoor lab where students gather data within their school to develop the concept of displacement in two dimensional motion.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Assessment
Lesson Plan
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Dennis Abernathy
Date Added:
02/10/2023
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The Venn Factor
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The Venn Factor
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This lesson plan provides the teacher with an activity to help students calculate the Greatest Common Factor of two or more positive integers and develop a definition based on their exploration. Students find the prime factorization of two positive numbers using factor trees and Venn diagrams to sort the prime factors. The plan includes learning objectives, materials needed, questions to ask students, assessment options, extensions, teacher self-reflection questions, and further references.

Subject:
Algebra
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Hilary Rose Barron
Date Added:
11/05/2010
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Walk the Line: A Module on Linear Functions
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Educational Use
Walk the Line: A Module on Linear Functions
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Prepared with pre-algebra or algebra 1 classes in mind, this module leads students through the process of graphing data and finding a line of best fit while exploring the characteristics of linear equations in algebraic and graphic formats. Then, these topics are connected to real-world experiences in which people use linear functions. During the module, students use these scientific concepts to solve the following hypothetical challenge: You are a new researcher in a lab, and your boss has just given you your first task to analyze a set of data. It being your first assignment, you ask an undergraduate student working in your lab to help you figure it out. She responds that you must determine what the data represents and then find an equation that models the data. You believe that you will be able to determine what the data represents on your own, but you ask for further help modeling the data. In response, she says she is not completely sure how to do it, but gives a list of equations that may fit the data. This module is built around the legacy cycle, a format that incorporates educational research feindings on how people best learn.

Subject:
Algebra
Career and Technical Education
Life Science
Mathematics
Technology and Engineering
Material Type:
Unit of Study
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Aubrey Mckelvey
TeachEngineering.org
VU Bioengineering RET Program,
Date Added:
09/18/2014
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Weed killer
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CC BY-NC-SA
Weed killer
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The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
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What Comes Nex_?
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What Comes Nex_?
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The activities in this Illumination lesson plan deal with patterns and the importance of looking at an object/item from more than a single perspective and reaffirms to learners that numerous reasonable solutions are possible. Students investigate a series of items (a list of class names and a parade of animals) that appear to be ordered in some "obvious" ways and also explore ways of sorting items ( a deck of cards and numbered horses) into two disjoint groups on the basis of some definable characteristic. Activity sheets are included in pdf format.

Subject:
Algebra
Mathematics
Material Type:
Interactive
Lesson Plan
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
William R. Speer & Daniel J. Brahier
Date Added:
11/05/2008
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When Should I Drink My Hot Chocolate?
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Educational Use
When Should I Drink My Hot Chocolate?
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Students act as food science engineers as they explore and apply their understanding of cooling rate and specific heat capacity by completing two separate, but interconnected, tasks. In Part 1, student groups conduct an experiment to explore the cooling rate of a cup of hot chocolate. They collect and graph data to create a mathematical model that represents the cooling rate, and use an exponential decay regression to determine how long a person should wait to drink the cup of hot chocolate at an optimal temperature. In Part 2, students investigate the specific heat capacity of the hot chocolate. They determine how much energy is needed to heat the hot chocolate to an optimal temperature after it has cooled to room temperature. Two activity-guiding worksheets are included.

Subject:
Algebra
Chemistry
Mathematics
Physical Science
Statistics and Probability
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Brian Palacios
Lauren Schulman
SMARTER RET Program, School of Engineering, Polytechnic Institute of New York University
Date Added:
10/13/2017
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Writing Constraints
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CC BY-NC-SA
Writing Constraints
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The purpose of this task is to give students practice writing a constraint equation for a given context. Instruction accompanying this task should introduce the notion of a constraint equation as an equation governing the possible values of the variables in question.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
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Zeroes and factorization of a general polynomial
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Zeroes and factorization of a general polynomial
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This task looks at zeroes and factorization of a general polynomial. It is related to a very deep theorem in mathematics, the Fundamental Theorem of Algebra, which says that a polynomial of degree d always has exactly d roots, provided complex numbers are allowed as roots and provided roots are counted with the proper "multiplicity.''

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/17/2012
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