Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
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Inductive and Deductive Reasoning
High schoolers use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In...
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Twenty Questions: The Hundred Chart
Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....
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Simply Elementary, Watson!
Explore the process of inductive and deductive reasoning. A collaborative lesson has some groups apply an inductive approach and others a deductive approach. Through class discussion, scholars compare their processes and discuss...
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Deductive Reasoning
Tenth graders investigate deductive reasoning. In this geometry activity, 10th graders compare and contrast inductive ns deductive reasoning. Students use deductive reasoning to investigate algebraic proof and explore deductive...
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House and Holmes: A Guide to Deductive and Inductive Reasoning
Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...
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Deductiva Deductions (Deductive Reasoning)
Third graders apply deductive reasoning and make predictions. For this language arts lesson, 3rd graders discuss questions and use deductive reasoning to make a prediction. Students look for patterns and prior knowledge to make predictions.
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The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
EngageNY
Unknown Angle Proofs—Writing Proofs
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
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Improving Deductive Reasoning Skills
Students develop a strategy list for problem solving by working with different types of problems. They recognize problems that may be solved using deductive reasoning and solve deductive reasoning problems.
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Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. In this geometry activity, students identify congruent figures and examine logos for congruency.
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Geometry, Measurement & Reasoning
Students construct two-column proofs. In this geometry instructional activity, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.
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Discovering Math: Concepts in Geometry
Middle and high schoolers explore the concept of proving the Pythagorean Theorem. They research proofs of the Pythagorean Theorem. Pupils create posters of proofs, and research Greek mathematicians.
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Improving Deductive Reasoning Skills
Students recognize problems that may be solved using deductive reasoning, and develop aids to help them in solving these problems. They produce their own deductive reasoning puzzles for other students to solve.
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Do Deductibles Matter?
Fifth graders discuss insurance and the cost of automobile insurance. They compare and contrast the costs of insurance from different companies. They figure the savings from the lowest deductible to the highest deductible.
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Proving Quadrilateral Properties
Working backwards can sometimes help you see a path to solving a problem. In this chapter, properites of quadrilaterials are proven by looking at flowcharts and working the probem backwards. Worked through examples are given, along with...
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The Race of Baseball All-Stars
Collect and analyze data. Pupils graph their data and model with it to solve real life problems. They use logic and deductive reasoning to draw conclusions.
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Mathematics Assessment Project
Deducting Relationships: Floodlight Shadows
Try to figure out what happens with shadows as a person moves between two light sources. A formative assessment lesson has individuals work on an assessment task based on similar triangles, then groups them based on their assessment...
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Logic and Proof Writing
Young scholars define inductive and deductive reasoning and write two column proofs. In this geometry lesson, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing...
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Fiddle Dee Diddle - It's Time For A Riddle
Energize your math class! They will use the story problem process to solve math riddle problems. They compute and solve problems involving addition and subtraction of 3- and 4- digit numbers and basic facts of multiplication and division...
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Proof by Induction
Twelfth graders define and prove theorems using induction. In this calculus instructional activity, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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Arithmetic Chains
Students complete a chain of numbers given the outcome. In this geometry lesson, student use deductive and inductive reasoning to solve problems. They create a formula and ways to predict numbers in the chain without starting over.
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Logic
Students solve problems using reasoning techniques, identify the validity or non-validity of problems and use deductive reasoning for problem resolution.