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Polynomials

 

Definition--Polynomial Concepts--Factored Quadratic
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Definition--Polynomial Concepts--Factored Quadratic

Definition--Polynomial Concepts--Factored Quadratic

This is a collection of definitions related to polynomials and similar topics. This includes general definitions for polynomials and polynomial functions, as well as terms related to factoring, roots, different polynomial types, and polynomial operations.

Note: The download is a PNG file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

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    Common Core Standards CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C
    Grade Range 8 - 12
    Curriculum Nodes Algebra
        • Polynomials
            • Factoring Polynomials
    Copyright Year 2021
    Keywords polynomials, monomials, definitions, glossary term
    Subscribe to Media4Math

     

    Princeton Review

    The Media4Math Definitions Library

    Definitions

    A Visual Glossary for Your Students

    Vocabulary is an important part of the math curriculum. In fact, many students struggle with math concepts because they lack the mastery of key vocabulary. Textbook instruction or examples often rely on these key terms and without a proper grounding in the relevant vocabulary, students will continue to struggle.

    With that in mind, Media4Math has developed an extensive glossary of key math terms. Each definition is a downloadable image that can easily be incorporated into a lesson plan. Furthermore, each definition includes a clear explanation and a contextual example of the term. To see the complete collection of these terms, click on this link.

    Math vocabulary doesn't consist of isolated terms. In fact, for any given concept there are clusters of vocabulary terms that students need to learn in order to better understand the concept. The Media4Math glossary consists of clusters of such terms. This is a summary of these clusters. Click on each link to see that collection of terms and definitions.

    • 3D Geometry
    • Coordinate Systems
    • Fraction Concepts
    • Linear Systems
    • Polygon Concepts
    • Rationals and Radicals
    • Triangle Concepts 
    • Angle Concepts
    • Early Elementary Definitions
    • Functions Concepts
    • Linear Functions Concepts
    • Polynomial Concepts
    • Ratios, Proportions, and Percents
    • Trigonometry
    • Charts and Graphs
    • Equation Concepts 
    • Geometry
    • Math Properties
    • Primes and Composites
    • Sequences and Series
    • Variables and Unknowns
    • Circles 
    • Exponential Concepts
    • Geometric Theorems
    • Measures of Central Tendency
    • Quadratics Concepts
    • Slope 
    • Closure Property
    • Factors and Multiples
    • Inequalities
    • Place Value Concepts
    • Quadrilateral Concepts 
    • Statistics and Probability

    Instructional Suggestions

    Here are some idea for how to use this library of vocabulary terms:

    Creating Connections

    • As you introduce a new topic, for example Slope, go to the corresponding collection of definitions by linking on one of the collections above. 
    • Each definition includes an example of the term. Have students research one or more of these terms.
    • Have a group of students research these terms and begin making connections. The idea is to encourage students to start using these terms as they begin discussing the main concept.

    To continue this example, let's look at the collection of terms under slope. Clicking on the link reveals that there are 17 terms under the category of slope. As you can see, this is more than just a simple definition of a single term.

    As students analyze these definitions, they begin to see common terms: ratio, rise over run, change in coordinates, and so forth. Working in teams, students can begin to build connections among these terms. Encourage them make connections among these related terms, creating a graphic similar to this:

    Vocabulary

     

    With an activity like this, students begin to use math vocabulary but, more important, tie it to math concepts.

    Creating Word Games

    Once students are familiar with the collection of terms have them create word search or crossword puzzles using these terms. There are many free online tools for creating such puzzles.

    In addition, Media4Math has a collection of word games and vocabulary puzzles to allow students to further practice their vocabulary skills. To see the current collection of puzzles see the links below:

    • Word Search Puzzles
    • Crossword Puzzles

    The Illustrated Math Dictionary

    Subscribers to Media4Math also get access to The Illustrated Math Dictionary. This ebook brings together math definitions and related multimedia resources. This ebook brings together the glossary terms for concepts like Linear Functions, Quadratic Functions, and Polynomial functions. Each term has an audio component, along with related resources. The Illustrated Math Dictionary is more than just a vocabulary tool. Use it for instruction or review.

    Additional Resources

    The What Works Clearinghouse has a number of Practice Guides that focus on evidence-based practices that will help struggling students. In particular, the Practice Guide entitled, Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades, emphasizes the importance of math vocabulary. In particular, make a not of the following point:

    Mathematical language is academic language that conveys mathematical ideas. This includes vocabulary, terminology, and language structures used when thinking about, talking about, and writing about mathematics. Mathematical language conveys a more precise understanding of mathematics than the conversational or informal language used every day to communicate with others.

    Math Vocabulary
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