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Mastering Quadratic Equations: Factoring and Completing the Square

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In this lesson, students will learn to solve quadratic equations by utilizing two key methods: factoring and completing the square. By the end, students will be adept at using the "X-Factor" technique to find the roots of quadratic equations and understand their significance. The agenda includes a warm-up, an in-depth lesson on solving quadratics using the X-Factor method, and practice problems to reinforce the concepts. Students will engage with various examples to solidify their understanding of x-intercepts and standard form.

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Mastering Quadratic Equations: Factoring and Completing the Square

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  1. Warm-Up Factor: 1.) 2.)

  2. CA STANDARDS 14.0: Students solve a Quadratic Equation by Factoring and Completing The Square. Learning Objectives: Students will be able to use the “X-Factor” to find the roots of a Quadratic Equation. Agenda 1.) Warm-Up 2.) Lesson On Solving Quadratics using X - Factor 3.) Assignment: 7.1

  3. Example 1: y x Solving Quadratics by X - Factor Solve: What does this mean?

  4. Example 2: y x Solving Quadratics by X - Factor Solve: What are the x-intercepts?

  5. Example 3: Solving Quadratics by X - Factor 1 Solve: -7 • Standard Form? -8 -8 1 -8 -7

  6. You Try: Solving Quadratics by X - Factor 1 Solve: 3 • Standard Form? -18 -18 -3 6 3

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