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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
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 !
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.
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
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
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).
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
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
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.
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.
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.

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Sherlock Holmes Reasoning WebQuest

  • 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.