# UTPA STEM/CBI Courses/Geometry/Properties of area of triangles

Course Title: Geometry and Measurement

Lecture Topic: Properties of area of triangles

Instructor: JenqJong Tsay

Institution: UTPA

## Backwards Design

Course Objectives

• Primary Objectives- By the next class period students will be able to:
• Explain the reason why non-congruent triangles with the same length of base and height have the same area
• Explain the reason why all the third vertices of triangles with a fixed base form lines parallel to the fixed side
• Sub Objectives- The objectives will require that students be able to:
• Understand the fundamental concept of area of triangle as counting the number of square units enclosed by the triangle
• Apply transformation on the triangle to be measured and relate it to a rectangle so that counting the number of square units is feasible
• Difficulties- Students may have difficulty:
• In connecting their understanding of finding the area of triangle without giving the length and height of that triangle so that they can use the formula directly
• In observing the common characteristics of all the triangles with a fixed base and the relation to the third vertices of triangles on a parallel line to the fixed side
• Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
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Model of Knowledge

• Concept Map
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• Content Priorities
• Enduring Understanding
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• Important to Do and Know
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• Worth Being Familiar with
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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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GO PUBLIC

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