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Quadratic Equations

QUADRATIC EQUATIONS


Sections:
    All Topics - Mixed Review
    Completing the Square
    Quadratic Formula
    Quadratic Graphs
    Quadratic Problem Solving
    Solve by Factoring
    Solve using Square Roots
    Square Roots


All Topics - Mixed Review:
Name Type Description Funsheet Key Standard Key
Solving Quadratics Standard Students will choose best method to solve.
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Completing the Square:
Name Type Description Funsheet Key Standard Key
Completing the Square 1 Riddle All equations in standard form and leading coefficients = 1.
Completing the Square 2 Riddle All equations in standard form and leading coefficients = 1. Students must check for extraneous solutions and simplify radical answers.
Completing the Square 3 Standard All leading coefficients > 1.
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Quadratic Formula:
Name Type Description Funsheet Key Standard Key
Discriminant and Number of Solutions Droodle Student will use value of discriminant to determine number of solutions. Some minor equation transformation required.
Quadratic Formula Riddle Non integer answers in radical form.
Quadratic Formula 2 Riddle Non perfect squares left in radical form.
Quadratic Formula 3 Riddle 11 problems. All quadratic equations in standard form.
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Quadratic Graphs:
Name Type Description Funsheet Key Standard Key
Exploring Quadratic Graphs Explore Guide Funsheet is guided exploration to use with graphing calculator to see how a and c affect y = x^2. Standard can be completed after exploration without calculator.
Graphing quadratic equations 1 Standard 6 quadratic equations. Students must label vertex and axis of symmetry. Open as to how students graph other points - I typically have students graph solutions.
Graphing quadratic equations 2 Standard 8 quadratic equations. Students must label vertex and axis of symmetry.
Graphing quadratic graphs - vertical motion Standard 4 vertical motion graphs. Students must round to thousandths to preserve accuracy. For the advanced student with calculator.
Parabolas (etc.) Video Parabolas (and arc shapes) in the world. Funsheet is an online version of experiment mentioned in video. 4 mins. Parabolas
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Quadratic Problem Solving:
Name Type Description Funsheet Key Standard Key
Drops Around The World Standard Given the height of world-wide structures, students will calculate the time it takes for a dropped object to hit the ground.
Modeling Population Growth Standard Given quadratic equations that model world and U.S. population, students will estimate and predict the population of any given year. Works best with graphing calculator.
Motion problems 1 Standard 8 problems that deal with vertical motion. Students will find time, max height or zeroes. Question format exactly the same for w/s 1 and 2, just different equations and values.
Motion problems 2 Standard 8 problems that deal with vertical motion. Students will find time, maximum height or zeroes.
Quadratic Catapult Standard Given the coordinates of a catapult and castle, students will determine equations that will hit the castle.
Quadratic Graph Art Standard Given a picture of designs from quadratic graphs, students will determine the equations that created them.
Vertical Motion Problems Standard More vertical motion problems.
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Solve by Factoring:
Name Type Description Funsheet Key Standard Key
Solving Quadratic Equations 1 Riddle All quadratics already in factored form.
Solving Quadratic Equations 2 Riddle Basic trinomial factoring.
Solving Quadratic Equations 3 Color Pattern Students must transform most equations to standard form.
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Solve using Square Roots:
Name Type Description Funsheet Key Standard Key
Solving Quadratic Equations Using Square Roots 1 Riddle Integer, fraction, simplified radicals and no solution answers.
Solving Quadratic Equations Using Square Roots 5 Sudoku All integer solutions.
Solving Quadratic Equations Using Square Roots 6 Riddle Non perfect squares left in radical form. Some have no solution.
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Square Roots:
Name Type Description Funsheet Key Standard Key
Square roots on a number line Quotes Students will find which two consecutive integers a square root lies between (on number line)to uncover quote.