Students will create a PowerPoint presentation exploring logical reasoning in geometry. They will discuss the differences between deductive and inductive reasoning, examine the four types of conditional statements, and determine when a conditional can be written as a biconditional. The project aims to develop students' understanding of mathematical structure and ability to make and prove conjectures. Students will be graded based on the content and design of their presentation.

1. “Logical Reasoning in Geometry” Project
Mr. Jaramillo
Objectives: Students will use technology to create a presentation on Geometric
Reasoning. Students will discuss the significance and difference between
inductive and deductive reasoning. In addition, students will explore the four
statements (conditional, converse, inverse, and biconditional) to determine the
truth value of each statement. Lastly, students must determine whether the
conditional statement meets the conditions of a biconditional statement.
TEKS:
• G.1.A: Develop an awareness of the structure of a mathematical system,
connecting definitions, postulates, logical reasoning, and theorems.
• G.2.B: Make conjectures and determine the validity of the conjectures.
• G.3.B: Construct and justify statements about geometric figures,
statements, and their properties.
• G.3.D: Use inductive reasoning to formulate a conjecture.
• G.3.E: Use deductive reasoning to prove a statement.
Criteria:
* Groups of 2
* Construct a PowerPoint Presentation
* Use voice recorder
* Use webcam
*Animations/Slide designs
Slides Must Include, But Not Limited To:
• Title slide with names.
• Deductive and Inductive Logic
o An example, justifying if it is deductive or inductive.
• Conditional statement with its converse, inverse, and Contrapositive.
• Truth table with descriptions of statement validities.
• Webcam, at least for the conclusion
Questions to Consider:
1) What is the difference between deductive and inductive reasoning?
2) What are the four types of conditional statements, and how do they relate?

2. 3) When can a conditional statement also be written as a biconditional
statement?
4) What did you learn from this project in terms of curriculum and
technology?
5) What did you like most about the project? Least?
Grading Outline:
______ 5 pts. At least 6 slides (MUST USE 6 x 6 RULE)!
______ 4 pts. Use of voice recorder for at least one minute.
______ 4 pts. Use of webcam to conclude the presentation.
______ 5 pts. Conclusion answers questions 4 and 5.
______ 5 pts. Creative show design.
______ 8 pts. Deductive and Inductive Reasoning with original example and
justifications.
______ 10 pts. Four conditional statements with truth table and justifications.
______ /41 PTS. GRADE = _________%