UTPA STEM/Tools/Template

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Course Title:

Lecture Topic:

Instructor:

Institution:

Backwards Design

Course Objectives

• Primary Objectives- By the next class period students will be able to:
  • Use the derivative to solve extrema problems (Optimization problems);

• Sub Objectives- The objectives will require that students be able to:
  • Solving real world problems using derivatives
  • Find absolute maximum or minimum value of a function f.

• Difficulties- Students may have difficulty:
  • Constructe the needed function to maximize or minimize,and
  • Express the function with multiple variables in terms of a function with one variable as needed.

• Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
  • Engineering
  • Biology
  • Business and Economy
  • Chemistry ...ets
  • Example : Suspension System:

A load must be suspended 6 m below a high ceiling using cables attached to two supports that are 2m apart. How far below the ceiling x should the cables be joined to minimize the total length of cable used?

Model of Knowledge

• Concept Map
  • Consider the following Graph:

• Content Priorities
  • Enduring Understanding
    • 1. Understanding the problem: The first step is to read the problem carefully until it is clearly understood. Ask yourself: What is the unknown? What are the given quantities? What are the given conditions?
    • 2. Draw a Diagram: In most of the problems it is useful to draw a diagram and identify the given quantities on the diagram.
  • Important to Do and Know
    • 1. Introduce Notations: Assign a symbol to the quantity that is to be maximized or minimized. For example, A for area, h for height, S for Surface area, V for Volume, ... etc.
  • Worth Being Familiar with
    • Formulas related to the given problem.
    • How to find Derivatives and what it means

Assessment of Learning

• Formative Assessment
  • In Class (groups)
    • text
    • text
  • Homework (individual)
    • text
    • text
• Summative Assessment
  • text
  • text

Legacy Cycle

OBJECTIVE

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

• text
• text
• text

The objectives will require that students be able to:

• text
• text
• text

THE CHALLENGE

text

GENERATE IDEAS

text

MULTIPLE PERSPECTIVES

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RESEARCH & REVISE

text

TEST YOUR METTLE

text

GO PUBLIC

text

Pre-Lesson Quiz

1. question
2. question
3. question

Test Your Mettle Quiz

1. question
2. question
3. question

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