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Unit 1:

Families of Functions

How do different function families behave?
6 weeks

Unit one is primarily about the descriptive, not the quantitative. The purpose of this unit is to build on students’ prior understanding of a function from Algebra 1 and develop a deeper understanding of how two quantities are related, how rates of change are compared, how functions are notated and described, and the ways we compare functions. The unit studies features of different functions and how to represent these in a variety of different ways—verbal description, functions rule, table, and graph. Real-life examples can be used to build and interpret functions and reinforce the multiple representations of functions.

Essential Questions:

  • What commonalities do functions within the same family have?
  • What makes a particular function family unique from other types of functions?
  • What do the key features of the graph of a function reveal about real world problems?
  • What families of functions have inverse functions for all real numbers?
Printable Unit Plan
  • Algebra II Unit Plan for Unit 1
    Resource:
    Algebra II Unit Plan for Unit 1

    This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Unit Outline

11 Components

Every unit begins with an Initial Task and ends with a Balanced Assessment, both focusing on core mathematics of the unit. The core mathematics is developed through a series of resources around Big Ideas; as you move through the unit, keep students focused on how these ideas are connected and how they address mathematical problem solving. Before attempting the Balanced Assessment, students have an opportunity to synthesize their knowledge through a multi-day Formative Assessment Lesson and teacher-designed re-engagement lessons.

Initial Task See 1 itemHide 1 item

Formative Assessment Lesson See 1 itemHide 1 item

Re-engagement See 1 itemHide 1 item

End of Unit Assessments See 3 itemsHide 3 items