Introduction to Polynomials - Guided Notes, Presentation, and INB Activities

Grade Levels
7th - 10th, Homeschool
Subjects
Standards
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Pages
37 pages
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Description

This flexible resource on Introduction to Polynomials allows students to either build interactive math notebooks with guided notes (keys included) and foldable activities OR use the included presentation handouts (keys included) with the PowerPoint presentation for focused instruction. Quick checks for understanding (keys included) help to determine how well your students understand the material as you go. Choose what works best for your class and modify to make the content fit your needs. Notes are designed to clearly present the topics and reach all types of learners.

The zip file includes BOTH editable, plain-font resources and ready-to-print, non-editable PDFs. Suggested use guides are included.

Interactive Math Notebook FORMAT – Includes 3 parts: guided notes, foldable activities, and quick checks for understanding. Piece the components together and students can create their own “math textbook” in a math journal.

Presentation Sheets FORMAT – Include 2 parts: guided notes and quick checks for understanding. They are organized in the same order as the included PowerPoint and are designed to print and present. The quick checks can be cut off the bottom of the note sheets and turned in as an assessment tool.

Presentation – Plain-font, no frills, PowerPoint presentation that you can use to present content to students. Slides have blank, student note templates followed by filled in teacher keys. Modify the editable presentation to best fit your needs.

  • What is a Polynomial?
  • How Do You Add Two Polynomial Expressions?
  • How Do You Subtract Two Polynomial Expressions?
  • Polynomial Equations with Addition and Subtraction
  • Distributive Property
  • Polynomial Equations with the Distributive Property
  • What is factoring?
  • Multiplying Binomials Using the F.O.I.L Method
  • Multiplying Binomials Practice: Multiply and Simplify
  • Factoring Trinomials
  • Factoring Trinomials with the “X” Method
  • Extra Tips for Factoring Trinomials
  • More Factoring: The Difference of Two Square Terms
  • What if You Have to Find the Product of a Monomial and Two Binomials?
  • Solving Quadratic Equations with Factoring

Additional Resources Available for Purchase:

Introduction to Polynomials Student Practice Pages: One full page of practice for each topic covered in the quick checks for understanding. Includes student pages and teacher keys. Perfect for homework, classwork, or a review.

Introduction to Polynomials Editable Assessments: Two editable assessments that pair perfectly with the unit.

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Total Pages
37 pages
Answer Key
N/A
Teaching Duration
N/A
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Standards

to see state-specific standards (only available in the US).
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (𝘹² + 𝘺²)² = (𝘹² – 𝘺²)² + (2𝘹𝘺)² can be used to generate Pythagorean triples.
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.
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.

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