10.3: Quadratic Equations by Square Roots Difficulty Level: At Grade Created by: CK-12 CK-12 Algebra I Teacher's Edition TE Quadratic Equations and Quadratic Functions Read Resources Details Learning Objectives At the end of this lesson, students will be able to: Solve quadratic equations involving perfect squares. Approximate solutions of quadratic equations. Solve real-world problems using quadratic functions and square roots. Vocabulary Terms introduced in this lesson: quadratic equations involving perfect squares positive, negative square root approximate solutions free fall Teaching Strategies and Tips Remind students that: and is called the principal square root. implies . Conclude that has two solutions when . See Examples 1-3. Point out that square roots of negative numbers are not real numbers. Therefore, has no solutions when . Specify in advance the number of decimal places required of students in Examples 6 and 7 and Review Questions 18-22. Error Troubleshooting In Example 2, show students that and . More square-roots of fractions can be found in Review Questions 4-6 and 8. General Tip: Remind students after square-rooting both sides of an equation to include the . Image Attributions Description No description available here... Tags: Activities Answer Key Answers (45 more) Assessment CK.MAT.ENG.TE.1.Algebra-I.10 Common Misconceptions completing the square Concept Check and Troubleshooting Differentiated Instruction discriminant double root Enrichment Inquiry Process intercept form line of symmetry linear functions linear regression no real solutions Pacing parabolas perfect squares Problem Sets Problem Solving Pythagorean theorem quadratic equation quadratic equations quadratic function quadratic functions quadratic regression Quizzes roots scatter plot Science Inquiry Solution Key Solutions square roots standard form symmetric Teacher Edition Teaching Strategies Teaching Strategies and Tips Testing Tests vertex form Worksheets x-intercept y-intercept zeroes Subjects: mathematics Grades: 9 , 10 Date Created: Feb 22, 2012 Last Modified: Aug 22, 2014 You can only attach files to None which belong to you If you would like to associate files with this None, please make a copy first.