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Introduction to Polynomials

218 Downloads
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Abhishek Diwan
1 Follower
Grade Levels
8th - 10th
Standards
Formats Included
  • PDF
Pages
7 pages
Abhishek Diwan
1 Follower

Description

For introductory classes of polynomials. This material has interactive and efficient explanation for teachers to introduce polynomials to students.

Salient Features:

  • Ideal for introducing Polynomials to students.
  • It can be used as a follow-up for the next polynomials class.
  • Designed from the perspective of a teacher.
  • Teachers can follow the methodology used here to maximize student learning.
  • The topics are well illustrated with graphs, drawings, and highlighting.
  • Questions with answers are included.
  • A word-by-word explanation is provided.
  • There are notes and remarks based on common mistakes students make and little things that students often forget/miss out on.
  • Examples with explanations are available to help.
  • Following contents are represented in a way that students find it intriguing:
    • What are Polynomials.
    • Terms, Degree and Zeros/roots of Polynomials.
    • Classification of Polynomials on the basis of Degree and number of terms.
    • Graphical representations and explanations.
Total Pages
7 pages
Answer Key
Does not apply
Teaching Duration
1 hour
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Standards

to see state-specific standards (only available in the US).
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Know and apply the Remainder Theorem: For a polynomial 𝘱(𝘹) and a number 𝘢, the remainder on division by 𝘹 – 𝘢 is 𝘱(𝘢), so 𝘱(𝘢) = 0 if and only if (𝘹 – 𝘢) is a factor of 𝘱(𝘹).
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

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1 Follower