UTPA STEM/CBI Courses/Algebra/Functions

Course Title: College Algebra

Lecture Topic: Functions

Instructor: Christy Babu

Institution: LCC

Backwards Design

Course Objectives

• Primary Objectives- By the next class period students will be able to:
  • • Determine whether a given relation is a function or not.
  • • Evaluate a given function at a given value.
  • • Determine the domain and range of a function.

• Sub Objectives- The objectives will require that students be able to:
  • Graph a function and identify the X and Y intercepts of a function.
  • Determine whether a real number can be part of the domain.
  • Identify the domain and range of a function given the graph of a function.
  • Set up a linear function given a real life context.

• Difficulties- Students may have difficulty:

• Identifying what to include in the domain of a function. • Setting up real-world application problems involving a function. • Understanding how to set up a function given a word problem. • Knowing how to interpret a function at a given value.

• Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
  • Applying and solving a real life application problems by using a function.

Model of Knowledge

• Concept Map

• Real number system. • Variables, constants, dependent, and independent variables

• Content Priorities
  • Enduring Understanding

• Evaluate a function at a given value • Graph a function • Interpret and read the graph of a function. • Determine the X and Y intercepts of the graph of a function. • Read the graph of a function for a given x- value and a given y-value

• • Important to Do and Know

1. Real number system 2. Substitute a value of a variable into a given function. 3. Understand and determine if the function is defined at a given value.

• • Worth Being Familiar with
    • Different types of real numbers.

Assessment of Learning

• Formative Assessment
  • In Class (groups)
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  • Homework (individual)
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• Summative Assessment
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Legacy Cycle

OBJECTIVE

By the next class period, students will be able to:

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The objectives will require that students be able to:

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THE CHALLENGE

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GENERATE IDEAS

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MULTIPLE PERSPECTIVES

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RESEARCH & REVISE

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TEST YOUR METTLE

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GO PUBLIC

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