Deductive and Inductive ReasoningIntroductionTask A WebQuest for 9th or 10th GradeResources (Geometry)ProcessEvaluation Designed by – Bernika ArthurConclusionStandardsTeacher Notes
IntroductionWe use inductive and deductive reasoning everyday. Onlywhen it is applied to mathematics, do many people becomeglassy-eyed and foggy-brained. Reasoning is fun and themore often these concepts are presented to you, the betteryour grasp of logic will become. Have fun and learn forapplication !
TaskDC Comics is planning a new Sherlock Holmes comic series. To sparkthe interest of the readers, you—the author of the comics—will have toutilize both inductive and deductive reasoning to solve a seeminglyimpossible case. Sherlock Holmes is a detective and is not bound by thesame 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 thepicture to learn more before continuing. Read the introduction on the pagethat you are connected to.
ResourcesDay 1:Deductive Deductive 2 Inductive DifferenceDeductive Inductive (Practice Problems Only) Bothhttp://primarywall.com/Day 2:#1 (Click the URL) #2 #3Day 3:Make Your Own Comix Pixton ComicMaster
Phase 1: Learn Phase 2: Write Phase 3: CreateProcessThis is to be completed on the first day with a partner2.Learn about inductive and deductive reasoning through visiting the four siteslisted below. The two sites will provide a definition of deductive reasoning, thesecond will define inductive reasoning, and the third will compare the two Deductive Deductive 2 Inductive Difference3.Solve the problems on the following three sites to get better acquainted. Onthe third site list which argument in the movie is inductive and which isdeductive* Deductive Inductive (Practice Problems Only) Both4.Construct 6 problems (3 inductive, 3 deductive) that will require reasoningand submit them to the site below*•http://primarywall.com/*Write all responses in your math journals
Phase 1: Learn Phase 2: Write Phase 3: CreateProcessThis is to be completed for homework individually2.Write the storyline for you case using one of the three sitesbelow for mapping ideas #1 (Click the URL) #2 #33.Proofread, edit, and revise your storyline. Use the site below tohelp you in editing and revising (click on the picture).
Phase 1: Learn Phase 2: Write Phase 3: CreateProcessThis is to be completed on the second and third day individuallyand with a partner2.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
ConclusionCongratulations!!!!!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 yourcomic books. Keep up the good work.
StandardsPreparing students for the proof-related conceptsin the Geometry Common Core Standards, such as•G-GPE.5. Prove the slope criteria for parallel and perpendicular linesand use them to solve geometric problems (e.g., find the equation of aline parallel or perpendicular to a given line that passes through a givenpoint).•G-C.1. Prove that all circles are similar.•G-SRT.4. Prove theorems about triangles. Theorems include: a lineparallel to one side of a triangle divides the other two proportionally, andconversely; the Pythagorean Theorem proved using triangle similarity.
Teacher NotesThis assignment will take about three days to complete. It is created to bepresented before the students become too involved in the details of the course. Since Geometry courses often include numerous mathematical proofs, it isimportant to show students this line of reasoning early on.There is a large amount of creative writing required for this assignment, so it isnot recommended that this lesson be attempted unless students have beentrained in creative writing.