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Quadratics have three major forms; standard, vertex, and factored form. Each has advantages and can be used to find different attributes of a quadratic equation or function. Each can also be used to model real world applications. Activities will include using algebra tiles to help with the process of completing the square and using the three forms in different ways and applications.

Algebra 2: Quadratics Classroom ActivitiesDownload
Completing_the_Square

Completing the Square

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Complete the square in an algebraic expression.
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A2_Completing_the_Square_Algebraically_sm

Completing the Square Algebraically

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Complete the square algebraically to rewrite a quadratic expression.
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A2_ComplexNumbers_sm

Complex Numbers

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Students calculate problems from the student worksheet to determine the rules for adding, subtracting, multiplying, and dividing complex numbers.
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A2_Discriminant_Testing_sm

Discriminant Testing

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Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
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Maximize_Area_Garden

Maximizing the Area of a Garden

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In this activity, students explore the area of a garden with a rectangular shape that is attached to a barn. Exactly three sides of the garden must be fenced. Students will sketch possible gardens and enter their data into a spreadsheet.
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Modeling_with_a_Quadratic_Function

Modeling with a Quadratic Function

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In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
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Parabolic_Paths

Parabolic Paths

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Manipulate the equation of a quadratic function so that its graph passes through a particular point.
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A2_Quadratic_Functions_and_Stopping_Distance_sm

Quadratic Functions and Stopping Distance

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Analyze data in real-life applications of the quadratic function.
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Standard Form of Quadratic Functions

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Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
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Vertex and Factored Form of Quadratic Functions

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Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.
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