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.

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?
 * 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:

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
 * 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
 * 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: THE CHALLENGE
 * text
 * text
 * text

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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

text GO PUBLIC

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Pre-Lesson Quiz

 * 1) question
 * 2) question
 * 3) question

Test Your Mettle Quiz

 * 1) question
 * 2) question
 * 3) question

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