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