Lesson plan 4.5 Reasoning about Factoring Polynomials
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Subject:MPM2D MATHEMATICS |
Grade: 10 |
Lesson No: 4.5 |
Duration: 3 hours |
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Unit 4 - Factoring Algebraic Expressions |
Topic: 4.5- Reasoning about Factoring Polynomials |
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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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– 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 Factoring Quadratics
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Success Criteria |
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By the end of class: - I can Factor Use reasoning to factor a variety of polynomials. |
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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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