Lesson plan 6.3 The Quadratic Formula
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Subject:MPM2D MATHEMATICS |
Grade: 10 |
Lesson No: 6.3 |
Duration: 3 hours |
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Unit 6 - Quadratic Equations |
Topic: 6.3 The Quadratic Formula |
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Overall Expectations (Directly from The Ontario Curriculum) |
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• determine the basic properties of quadratic relations; • relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h) 2 + k; • solve quadratic equations and interpret the solutions with respect to the corresponding relations; • solve problems involving quadratic relations |
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Specific Expectations (Directly from The Ontario Curriculum) |
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explore the algebraic development of the quadratic formula (e.g., given the algebraic development, connect the steps to a numerical example; follow a demonstration of the algebraic development [student reproduction of the development of the general case is not required]); – solve quadratic equations that have real roots, using a variety of methods (i.e., factoring, using the quadratic formula, graphing) (Sample problem: Solve x2 + 10x + 16 = 0 by factoring, and verify algebraically. Solve x2 + x – 4 = 0 using the quadratic formula, and verify graphically using technology. Solve –4.9t 2 + 50t + 1.5 = 0 by graphing h = –4.9t 2 + 50t + 1.5 using technology.). |
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Learning Goals |
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Today you will learn The Quadratic Formula |
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Success Criteria |
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By the end of class: - I can Understand the development of the quadratic formula, and use the quadratic formula to solve quadratic equations. |
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Materials and Resources |
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- Graphing calculator and/or graph paper - Laptop with Internet access |
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Lesson Structure and Activities |
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Timing |
Lesson |
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~10 minutes ~20 minutes ~20 minutes ~60 minutes ~60 minutes ~10 minutes
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1. Students to Read Lesson Plan 2. Students to Study Glossary 3. Students to complete Warmer Question 4. Students to study Lesson 5. Students to complete Assignment 6. Students to complete Exit card
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