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Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics, Spring 2005
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Content varies from year to year. An introduction to some of the major topics of present day combinatorics, in particular enumeration, partially ordered sets, and generating functions. This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.

Subject:
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Pak, Igor
Date Added:
01/01/2005
Combined Fuel Efficiency
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The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/25/2013
Combining Units Using Addition and Subtraction Metric Units
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This short video and interactive assessment activity is designed to teach fourth graders about combining units using addition and subtraction (metric units).

Subject:
Mathematics
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Common Factors
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Unit 7: Rational Numbers
Lesson 16: Common Factors

In this lesson, students use contextual situations to learn about common factors and the greatest common factor of two whole numbers. They develop strategies for finding common multiples and least common multiples. They develop a definition of the terms common factor and greatest common factor for two whole numbers (MP6).

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
06/16/2021
Common Multiples
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Unit 7: Rational Numbers
Lesson 17: Common Multiples

In this lesson, students use contextual situations to learn about common multiples and the least common multiples of two whole numbers. They develop strategies for finding common multiples and least common multiples.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
06/16/2021
Commutative Algebra, Fall 2008
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In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tensor products, and dimension theory.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Kleiman, Steven
Date Added:
01/01/2008
Commuting to Work: Box Plots, Central Tendency, Outliers
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Students will calculate various measures of central tendency using data on the number of people who bike to work in select states. Students will then create a box plot to represent the data set and answer conceptual questions about the impact of the data set’s outlier.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Compare Capacity in Liters
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach second graders about making observations about capacity (metric units).

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Compare Cups Pints and Quarts
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This short video and interactive assessment activity is designed to teach second graders about comparing the capacity by formula in quarts, pints and cups.

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Compare Fractions with Common Terms
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fifth graders about comparing fractions with common denominators or common numerators.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Compare Fractions without Common Terms
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fifth graders about ordering fractions with different denominators.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Compare Mixed Numbers and Decimals
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fifth graders about comparing decimals and fractions using inequalities.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Compare Numbers to 1000
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach second graders about comparing values of multiple numbers within a set.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018