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SEC 3 E-LEARNING

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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!

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

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

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

- 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.

Derivation of the Quadratic Formulae using completing the square method

Click on the following website:

http://www.youtube.com/watch?v=CNNe8P-oOXg

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