Learning Resources

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Outcomes

In this lesson you will

  • use algebra tiles to complete the square of quadratic expressions
  • use completing the square to develop the transformational form of the quadratic function
  • use the transformational form to identify the properties of the corresponding parabola.

By the end of this section students will be able to:

  • analyze and describe the characteristics of quadratic functions
  • solve problems involving quadratic equations
  • analyze scatter plots, and determine and apply the equations of best fit, using appropriate technology
  • describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships
  • demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
  • translate between different forms of quadratic equations
  • describe and interpret domains and ranges using set notation
  • demonstrate an understanding of how parameter changes affect the graphs of quadratic functions

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • factoring and expanding quadratic expressions
  • using algebra tiles to factor and represent quadratic expressions