A WebQuest for 9th or 10th Grade

(Geometry)

Designed by – Bernika Arthur

Introduction

Task

Resources

Process

Evaluation

Conclusion

Standards

Teacher Notes

Deductive and Inductive Reasoning

We use inductive and deductive reasoning everyday. Only when it is applied to mathematics, do many people become glassy-eyed and foggy-brained. Reasoning is fun and the more often these concepts are presented to you, the better your grasp of logic will become. Have fun and learn for application !

Introduction

DC Comics is planning a new Sherlock Holmes comic series. To spark the interest of the readers, you—the author of the comics—will have to utilize both inductive and deductive reasoning to solve a seemingly impossible case. Sherlock Holmes is a detective and is not bound by the same laws as a police officer, so feel free to be creative.

P.S. If you do not know anything about Sherlock Holmes, then click on the picture to learn more before continuing. Read the introduction on the page that you are connected to.

Task

Day 1:

Deductive Deductive 2 Inductive Difference

Deductive Inductive (Practice Problems Only) Both

http://primarywall.com/

Day 2:

#1 (Click the URL) #2 #3

Day 3:

Make Your Own Comix PixtonComicMaster

Resources

This is to be completed on the first day with a partner

1.Learn about inductive and deductive reasoning through visiting the four sites listed below. The two sites will provide a definition of deductive reasoning, the second will define inductive reasoning, and the third will compare the two

Deductive Deductive 2 Inductive Difference

2.Solve the problems on the following three sites to get better acquainted. On the third site list which argument in the movie is inductive and which is deductive*

Deductive Inductive (Practice Problems Only) Both

3.Construct 6 problems (3 inductive, 3 deductive) that will require reasoning and submit them to the site below* •http://primarywall.com/

*Write all responses in your math journals

ProcessPhase 1:

Learn

Phase 2: Write

Phase 3: Create

This is to be completed for homework individually

1.Write the storyline for you case using one of the three sites below for mapping ideas

#1 (Click the URL) #2 #3

2.Proofread, edit, and revise your storyline. Use the site below to help you in editing and revising (click on the picture).

ProcessPhase 1:

LearnPhase 2:

WritePhase 3: Create

This is to be completed on the second and third day individually and with a partner

1.Make your comic using one of the three sites below

Make Your Own Comix PixtonComicMaster

2.Have a partner proofread and offer constructive criticism

3.Make changes to your comic as necessary

ProcessPhase 1:

LearnPhase 2:

WritePhase 3: Create

Categories for Evaluation Maximum Possible Points

Quality of Story Max 10

Appropriate Use of Inductive Reasoning

Max 25

Appropriate Use of Deductive Reasoning

Max 25

Story Contains a Beginning, Middle, and End

Max 10

Completion of Problems in Math Notebook

Max 15

More Than 1 Inductive and 1 Deductive Argument in the Case

Max 15

Evidence of Story Map Max 5

Creativity in Presentation and Design

Max 10

Total Possible Points 115

Evaluation

Congratulations!!!!!

Not only have you proved your ability to logically reason, but you have also shown your creativity in writing and art. DC Comics will be proud when they finally receive your comic books. Keep up the good work.

Conclusion

Preparing students for the proof-related concepts in the Geometry Common Core Standards, such as•G-GPE.5. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

•G-C.1. Prove that all circles are similar.

•G-SRT.4. Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

Standards

This assignment will take about three days to complete. It is created to be presented before the students become too involved in the details of the course. Since Geometry courses often include numerous mathematical proofs, it is important to show students this line of reasoning early on.

There is a large amount of creative writing required for this assignment, so it is not recommended that this lesson be attempted unless students have been trained in creative writing.

Teacher Notes