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Lesson Plan : 5.7 Completing the Square
Teacher Name: | Emily Werner |
Grade: | Grade 11-12 |
Subject: | Math |
Topic: | Completing the Square |
Content: | Quadratic functions and solving them using completing the square. |
Goals: | 1) Teacher shows students how to complete the square by giving them steps to follow 2) Teacher shows students how to solve quadratic equations by completing the square; again giving them steps to follow 3) Teacher reminds students of vertex form of an equation and shows them how to solve using vertex form and completing the square |
Objectives: | 1) Students have a beginning understanding of completing the square. 2) Students will begin to be able to solve quadratic equations by completing the square. 3) Students will build on their knowledge of complex numbers as they complete the square and solve. |
Materials: | overhead, overhead markers, transparencies, whiteboard, whiteboard markers, calculator |
Introduction: | - Teacher reminds students about what they did in the previous lesson - Teacher gives students the definition of completing the square - Teacher tells students that completing is when you can't factor or find the square root easily |
Development: | -Teacher has students factor, then learn how to complete the square so that they can factor - Teacher shows students how to solve quadratic equations when solutions are real, complex,and when a is not 1 -Teacher shows students how to complete the square in vertex form |
Practice: | example 1: (x^2)-12x+36=9 (solve and check) example 2a: (x^2)+20x+_ (cts) 2b: (x^2)+7x+_ example 3a: (x^2)+4x+1=0 (solve using cts) 3b: (x^2)+6x+12=0 example 4: 2(x^2)=-7x+1(a is not 1) example 5: y=(x^2)+5x+2 (vertex form) |
Accommodations: | auditory and visual directions and explanations, different color, technology |
Checking For Understanding: | -Teacher asks students clarifying questions throughout the lecture. -Teacher tries to get students active in their learning |
Closure: | -Teacher gives students their homework -Teacher reminds students that they need to show their work and write out the original problem -Teacher tells students that tomorrow they will learn another way to solve quadratic equations |
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