Solving Quadratic Equations
Solving Quadratic Equations
Objectives
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transition between the different representations of quadratic equations (equation, table, graph, and context).
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solve quadratic functions using factoring methods and the quadratic formula.
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apply the solving techniques learned in the unit to real-life situations and how to decide what technique would be most appropriate in a situation.
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interpret solutions to real-life problems and explain which solutions are reasonable for the situation.
Students will learn the characteristics and properties of quadratic equations and their graphs. They will learn how to:
Essential Questions
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How can we show that algebraic properties and processes are extensions of arithmetic properties and processes and how can we use algebraic properties and processes to solve problems?
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What functional representation would you choose to model a real-world situation and how would you explain your solution to the problem?
Related Unit and Lesson Plans
Related Materials & Resources
The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.
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Complete Guidebook for TI-84 calculator http://education.ti.com/educationportal/downloadcenter/SoftwareDetail.do?website=US&tabId=2&appId=6125
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http://math.arizona.edu/~cjewell/teaching%20(F06)/Linear%20regression%20on%20TI-83.pdf Entering data, creating plots, and finding regression equations on the TI-83 and 84
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https://www.youtube.com/watch?v=BdUJxrqpdUA Video tutorial about stat plots on the 83 and 84. Remember to do quadratic regression instead of linear.
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http://www.quia.com/cz/43442.html?AP_rand=283159167 – game for practicing writing equations from word problems and then solving them using factoring techniques
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http://www.regentsprep.org/Regents/math/algtrig/ATV1/LgroupingBox.htm Grid method for factoring trinomials. A different approach to factoring instead of using the algebraic/grouping approach.
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PowerPoint that explains the diamond/box approach to factoring http://taselm.fullerton.edu/cluster%20page/los%20amigos%20cluster/los%20amigos%20docs/OCMC2007/Diamond%20and%20Box%20Factoring%20student%20version.ppt
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https://www.purplemath.com/modules/quadform.htm The Quadratic Formula Explained
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http://users.rcn.com/mwhitney.massed/quadratic_formula_proof.html Proof of the quadratic formula