Multiplying + Dividing Rational Expressions -Notes, Presentation +INB Activities

Grade Levels
7th - 10th, Homeschool
Formats Included
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29 pages
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This flexible resource on Multiplying and Dividing Rational Expressions 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 โ€“ Includes 3 parts: guided notes, foldable activities, and quick checks for understanding. Piece the components together and students can create their own โ€œmath textbookโ€ in a math journal.

Presentation Sheets FORMAT โ€“ 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 โ€“ 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.

Topics presented in this product include:

  • Rational Number and Rational Expression
  • Substitute to Find the Value of a Rational Expression in One Variable
  • Substitute to Find the Value of a Rational Expression in Two Variables
  • Setting Conditions for Rational Expressions
  • How do you Multiply Two Fractions?
  • Taking a Fraction to a Power
  • What is an Equivalent Fraction?
  • Simplifying a Fraction
  • Simplifying a Rational Expression
  • Simplifying a Rational Expression (Binomials)
  • Simplifying a Rational Expression (Polynomials)
  • Review: Extra Tips for Factoring Trinomials
  • Review: Factoring Second Degree Trinomials with a Coefficient of One on the Second Degree Term into a Product of Binomials
  • Review: Factoring Second Degree Trinomials into the Product of Binomials Using the โ€œXโ€ Method
  • Dividing Polynomials Using the Long Division Method
  • Fractions: Simplify Before You Multiply
  • Distributive Property with Rational Expressions
  • What is a Reciprocal?
  • Dividing Fractions
  • Fraction Division Practice

Additional Resources Available for Purchase:

Multiplying and Dividing Rational Expressions 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.

Multiplying and Dividing Rational Expressions Editable Assessments Two editable assessments that pair perfectly with the unit.

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Total Pages
29 pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
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.
Rewrite simple rational expressions in different forms; write ๐˜ข(๐˜น)/๐˜ฃ(๐˜น) in the form ๐˜ฒ(๐˜น) + ๐˜ณ(๐˜น)/๐˜ฃ(๐˜น), where ๐˜ข(๐˜น), ๐˜ฃ(๐˜น), ๐˜ฒ(๐˜น), and ๐˜ณ(๐˜น) are polynomials with the degree of ๐˜ณ(๐˜น) less than the degree of ๐˜ฃ(๐˜น), using inspection, long division, or, for the more complicated examples, a computer algebra system.
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.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Use the structure of an expression to identify ways to rewrite it. For example, see ๐˜นโด โ€“ ๐˜บโด as (๐˜นยฒ)ยฒ โ€“ (๐˜บยฒ)ยฒ, thus recognizing it as a difference of squares that can be factored as (๐˜นยฒ โ€“ ๐˜บยฒ)(๐˜นยฒ + ๐˜บยฒ).


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