Lesson plan #3.4 Quadratic Models Using Factored Form
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Subject:MPM2D MATHEMATICS |
Grade: 10 |
Lesson No: 3.4 |
Duration: 3 hours |
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Unit 3 - Graphs of Quadratic Relations |
Topic: 3.4 - Quadratic Models Using Factored Form |
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Overall Expectations (Directly from The Ontario Curriculum) |
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• manipulate algebraic expressions, as needed to understand quadratic relations; • identify characteristics of quadratic relations; • solve problems by interpreting graphs of quadratic relations |
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Specific Expectations (Directly from The Ontario Curriculum) |
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– compare, through investigation using technology, the graphical representations of a quadratic relation in the form y = x2 + bx + c and the same relation in the factored form y = (x – r)(x – s) (i.e., the graphs are the same), and describe the Quadratic Relations of the Form y ax2 = + bx + c FOUNDATIONS OF MATHEMATICS, GRADE 10, APPLIED (MFM2P) 59 connections between each algebraic representation and the graph [e.g., the y-intercept is c in the form y = x2 + bx + c; the x-intercepts are r and s in the form y = (x – r)(x – s)] (Sample problem: Use a graphing calculator to compare the graphs of y = x2 + 2x – 8 and y = (x + 4)(x – 2). In what way(s) are the equations related? What information about the graph can you identify by looking at each equation? Make some conclusions from your observations, and check your conclusions with a different quadratic equation.). |
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Learning Goals |
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Today you will investigate Quadratic Models Using Factored Form |
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Success Criteria |
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By the end of class: - I can determine the equation of a quadratic model using the factored form of a quadratic relation.. |
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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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