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Unit 8: Solving and Graphing Quadratics

Solving Using Square Roots:

Big Ideas: Pg. 501 #3-30
Khan Academy: I would complete this entire section for examples and practice.

Solving quadratics by taking square rootsSal solves the equation 2x^2+3=75 by isolating x^2 and taking the square root of both sides.

Completing the Square:

Big Ideas: Pg. 511 #5-22, 25-32
Khan academy: I would complete all of the section for extra notes and practice.

Completing the squareSome quadratic expressions can be factored as perfect squares. For example, x²+6x+9=(x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example, x²+6x+5 isn't a perfect square, but if we add 4 we get (x+3)². This, in essence, is the method of *completing the square*

Quadratic Formula:

Big Ideas: Notes - Pg. 516-520; Practice - Pg. 521 #9-22
Khan Academy: I would complete this entire section BUT you can skip the proof sections.

The quadratic formulaWith the quadratic formula, we can solve any quadratic equation! Learn how to use it with an example.

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