1. Deductive and Inductive Reasoning
Introduction
Task A WebQuest for 9th or
10th Grade
Resources
(Geometry)
Process
Evaluation Designed by – Bernika
Arthur
Conclusion
Standards
Teacher Notes
2. Introduction
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 !
3. Task
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.
4. Resources
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 Pixton ComicMaster
5. Phase 1: Learn Phase 2: Write Phase 3: Create
Process
This is to be completed on the first day with a partner
2.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
3.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
4.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
6. Phase 1: Learn Phase 2: Write Phase 3: Create
Process
This is to be completed for homework individually
2.Write the storyline for you case using one of the three sites
below for mapping ideas
#1 (Click the URL) #2 #3
3.Proofread, edit, and revise your storyline. Use the site below to
help you in editing and revising (click on the picture).
7. Phase 1: Learn Phase 2: Write Phase 3: Create
Process
This is to be completed on the second and third day individually
and with a partner
2.Make your comic using one of the three sites below
Make Your Own Comix Pixton ComicMaster
•Have a partner proofread and offer constructive criticism
•Make changes to your comic as necessary
8. Evaluation
Categories for Evaluation Maximum Possible Points
Quality of Story Max 10
Appropriate Use of Inductive Max 25
Reasoning
Appropriate Use of Deductive Max 25
Reasoning
Story Contains a Beginning, Middle, Max 10
and End
Completion of Problems in Math Max 15
Notebook
More Than 1 Inductive and 1 Deductive Max 15
Argument in the Case
Evidence of Story Map Max 5
Creativity in Presentation and Design Max 10
Total Possible Points 115
9. Conclusion
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.
10. Standards
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.
11. Teacher Notes
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.
