High School: Quadratic Functions in Different and Equivalent Forms (CCSSM Version)

Concepts

• Recognize Quadratic Relationships Represented in Patterns, Graphs, Tables, and Symbols
• Represent, Identify, and Interpret Key Features of Quadratic Relationships
• Understand, Write, and Use Quadratic Functions in Different Forms

Unit includes

• 25 high-level tasks with associated QuickStarts, Practices, Applications, and Quick Writes.
• 3 checkpoints and 6 support activities.
• 1 final performance-based assessment with scoring guide.

Students

• Understand and identify the rate of change that defines different types of functional relationships, including linear, exponential, and quadratic.
• Analyze patterns, graphs, tables, and equations to determine whether the type of functional relationship represented is linear, exponential, or quadratic.
• Analyze and construct tables, graphs, and equations of quadratic relationships to identify key features, such as the x-intercepts (zeros), vertex, axis of symmetry, differing average rates of change, and regions of increase and decrease.
• Use different forms of quadratic functions and convert between/among them to identify x-intercepts (zeros), the vertex, and other key features in contextual situations, including:
• Standard form
• Factored form (intercept form)
• Graphing form (vertex form)