Solving Quadratic Equations

Solving Quadratic Equations


Grade Level: 10th-11th grades

Mathematics III - Functions

Linear, Quadratic, and Exponential Models F-LE

Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.] 6. Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity.

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When the Object Reaches its Maximum Height

Watch the video and follow along to learn how you can determine the maximum and minimum of a quadratic function.

Source: Finding the Minimum or Maximum of Quadratic Functions. (2010, November 14). Retrieved December 10, 2015, from https://www.youtube.com/watch?v=XScVP0UrN3M&feature=youtu.be

When the Object Reaches its Maximum Height


Follow the above the link: Read through the website and take notes on the steps to solving for the maximum height of a thrown object.

Source: Word Problems: Quadratic Max/Min Application - Projectiles. (n.d.). Retrieved December 10, 2015, from http://www.algebralab.org/Word/Word.aspx?file=Algebra_MaxMinProjectiles.xml

When the Object Hits the Ground

Watch the video and follow along as the presenter goes through the example of how to determine when an object will hit the ground once thrown.

Source: Example 4: Applying the quadratic formula | Quadratic equations | Algebra I | Khan Academy. (2011, July 12). Retrieved December 10, 2015, from https://youtu.be/OZtqz_xw0SQ

Entry Ticket (Big Question)

On a separate sheet on binder paper, please answer the question and turn it in to me at the beginning of the next class.

A paper airplane follows a parabolic path with h space equals space minus 1 fourth t squared space plus space t space plus space 3, where h is the height in meters, and t is the time in seconds. Algebraically determine how long it takes for the paper airplane to hit the ground. Then algebraically determine the maximum height the paper airplane will reach. (Show all work!)