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Estimating Values of Quadratic Equations: Guess and Check (B) WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSA.REI.B.4
CCSS Description: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation; recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Estimating Values of Quadratic Equations: Guess and Check (B) WORKSHEET DESCRIPTION
The topic of this worksheet is useful to provide an opportunity for learners to think about solving equations using a method of guess and check. Section A provides some tables and equations and leads learners through the process of trialing values to solve equations and then improving their guesses to find answers correct to 2 decimal places. Section B is similar to section A, but requires answers to 3 significant figures. Section C then provides some questions regarding the 2D and 3D shapes that can be solved using guess and check.
