Square Roots and Quadratic Functions - Guided Notes, Presentation and INB

Grade Levels
8th - 10th, Homeschool
Subjects
Standards
Formats Included
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Pages
31 pages
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Description

This flexible resource on Square Roots and Quadratic Functions 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.

Topics presented in this product include:

  • Square Numbers and Square Roots
  • Square and Square Root Review with Whole Numbers
  • Square and Square Root Review with Rational Numbers
  • What is an Irrational Number?
  • Solving Quadratic Equations without Factoring (Example 1)
  • Solving Quadratic Equations without Factoring (Example 2)
  • Finding the Square Roots of Monomials
  • Rules for Simplifying Square Roots
  • Square Roots in Simplest Radical Form
  • Square Roots in Simplest Radical Form with Fractions
  • What does it mean to complete the square?
  • Steps for Completing the Square
  • Solving a Quadratic Equation by Completing the Square
  • Solving a Quadratic Equation using the Quadratic Formula
  • Finding the Coordinates for the Graph of a Quadratic Function
  • Graphing a Quadratic Function

Additional Resources Available for Purchase:

Square Roots and Quadratic Functions 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.

Square Roots and Quadratic Functions Editable Assessments: Two editable assessments that pair perfectly with the unit.

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

to see state-specific standards (only available in the US).
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
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.
Graph linear and quadratic functions and show intercepts, maxima, and minima.
Solve quadratic equations by inspection (e.g., for 𝘹² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as 𝘢 ± 𝘣𝘪 for real numbers 𝘢 and 𝘣.
Use the method of completing the square to transform any quadratic equation in 𝘹 into an equation of the form (𝘹 – 𝘱)² = 𝘲 that has the same solutions. Derive the quadratic formula from this form.

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