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SEC 3 E-LEARNING. ELEMENTARY MATHEMATICS. COMPLETING THE SQUARE. Dear students, All of you will go through a series of lessons using YouTube on how to perform “Completing the Square” method to solve quadratic equation.
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SEC 3 E-LEARNING ELEMENTARY MATHEMATICS COMPLETING THE SQUARE
Dear students, All of you will go through a series of lessons using YouTube on how to perform “Completing the Square” method to solve quadratic equation. You will also learn on how to sketch graph using the Completed Square form. After going through each lesson, you will have to solve and complete some questions. Please copy the questions on foolscap papers and submit the E-Learning work the first day after you come back from the E-Learning days. Till then, please enjoy the lessons!
Step by Step Completing the Square Part 1 & 2 Introduction of the 5 series of lessons Click on the following website: http://www.youtube.com/watch?v=xEgAjph_yZE Solving Quadratic Equations Click on the following website: http://www.youtube.com/watch?v=Da_Jnuf0yYo
Questions 1 Solve the following equations by the completing the square method, giving your answers correct to 3 significant figures when necessary. (a) x2-4x-8=0 (b) -2x2+12x-3=0 (c) 5x2=2x+12 (d) 15x-4=-4x2 (e) 2x2+3x=4
Step by Step Completing the Square Part 3 Sketching quadratic graph using the completed square form Click on the following website: http://www.youtube.com/watch?v=emb4WY30vdg&feature=related Please download the word document from WordPress entitled E-Learning notes
Questions 2 • Express -2x2 + 3x – 7 in the form of a(x – h)2 + k. Hence, state the maximum value of -2x2 + 3x – 7 and sketch the graph of -2x2 + 3x – 7. (b)Express 3x2– 6x + 7 in the form of a(x – h)2 + k. Hence, state the extreme value of 3x2– 6x – 9 and sketch the graph of 3x2– 6x + 9.
Step by Step Completing the Square Part 4 Derivation of the Quadratic Formulae using completing the square method Click on the following website: http://www.youtube.com/watch?v=CNNe8P-oOXg
Step by Step Completing the Square Part 5 Visual Representation of Completing the Square Click on the following website: http://www.youtube.com/watch?v=Ax2mIah7bkQ&feature=related
That's the end of the lesson I hope you've enjoyed it!!! Acknowledgement: YouTube - Cylurian Prepared by: Mr Duncan Hiew / Mathematics Department