Curated OER
Proof by Induction
In this induction worksheet, high schoolers read word problems. They determine the difference between inductive and deductive reasoning. Students solve the given problem through inductive reasoning. This one-page worksheet contains 1...
Flipped Math
Unit 2 Review: Reasoning and Proofs
The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...
Curated OER
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.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
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.
Curated OER
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...
Flipped Math
Reasoning and Proof
Make sure the conditions are right. Pupils watch a video introducing conditional statements and their related statements. Learners find out how to identify the hypothesis and conclusion as well as write the converse, inverse, and...
Curated OER
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...
Curated OER
Video on Integration and Quiz on Induction
Learners investigate proofs through practice and example. In this calculus lesson, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
Curated OER
Deductive and Inductive Reasoning
Students differentiate between inductive and deductive reasoning. In this geometry activity, students identify congruent figures and examine logos for congruency.
Curated OER
Inductive vs. Deductive Proof
Twelfth graders differentiate between inductive and deductive proofs. In this differentiating between inductive and deductive proofs lesson, 12th graders compare strengths and weaknesses of each type of proof. Students discuss an...
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing activity, 10th graders solve 4 problems that include applying inductive reasoning and conjecturing to each problem. First, they determine if each conjecture is true or false based on the given...
Curated OER
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.,...
Curated OER
Worksheet 4.12, Induction
In this math activity, students prove given propositions for all integer values of the variable. Students use induction to prove statements true.
Curated OER
Paragraph Proofs
Students explore the concept of paragraph proofs. For this paragraph proofs lesson, students make flow charts of the process of getting ready for school. Students convert the flow chart to a paragraph proof. Students use geometric...
Curated OER
Exercising With the Mathematical Induction Principle
In this math worksheet, students apply the Mathematical Induction Principle. Then they find patterns for the sums. They also read the subsequent proofs for the Induction Principle.
Curated OER
Preparation and Transition to Two-Column Proofs
Students investigate proofs used to solve geometric problems. For this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
Curated OER
Video On Integration And Quiz On Induction
Students engage in a lesson that is concerned with the concepts of integration and induction. They view a video about integration and take a quiz on induction. Students use the resource links to view information added to the lesson to...
Curated OER
Coordinate Proofs
Students explore the concept of coordinate proofs. For this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
Curated OER
A.P. Calculus Integration Test
For this A.P. Calculus worksheet, learners complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while others are...
Curated OER
Proving Triangles Congruent
Students examine Triangle Congruency. In this measurement comparison lesson, students use inductive, deductive and analytical thinking skills to prove triangle congruency. Students analyze and record their findings on activity worksheets.
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Curated OER
Connecting Algebra and Geometry Through Coordinates
This unit on connecting algebra and geometry covers a number of topics including worksheets on the distance formula, finding the perimeter and area of polynomials, the slope formula, parallel and perpendicular lines, parallelograms,...
Curated OER
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.