CK-12 Foundation
Conjectures and Counterexamples: An Extra Slice!
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
Mathed Up!
Proof
Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.
Curated OER
Getting it Right! An Investigation of the Pythagorean Theorem
In order to learn about the Pythagorean Theorem, young mathematicians investigate relations and patterns between different sides of a right triangle to look for possible relations among the squared sides. Once they have established the...
West Contra Costa Unified School District
The Parallelogram Law
Use your pupils' sense of curiosity to explore the Parallelogram Law. Here is an activity that outlines a complete lesson from beginning to end, allowing pupils to follow a conjecture through to the proof stage.
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 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...
Curated OER
Inductive Reasoning and Conjecturing
In this inductive reasoning and conjecturing worksheet, 10th graders solve 8 different problems that are related to using inductive reasoning and conjecturing. First, they determine if the conjecture is true or false based on the given...
Curated OER
Worksheet 1: Fibonacci Numbers
In this Fibonacci activity, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page activity contains five multi-step problems that involve proofs.
Curated OER
Four Color Theorem
Students identify and interpret how the Free Response questions are graded on an AP Exam. They also discuss coloring the included map, placing several examples on the board to determine the number of colors necessary to color each....
Curated OER
Exploring the Witch of Agnesi
learners construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
Curated OER
Volume of a prism
In this geometry worksheet, 10th graders determine the volume of various prisms. The one page worksheet contains two problems. Answers are not included.
Curated OER
V-Numbers
Students explore problem solving strategies. Gin a novel situation, students develop a mathematical theory. Through models and mathematics, students justify their solution. Students definea V-sets and discuss conjectures about each set.
Wikimedia
Wikipedia: Theorem
Wikipedia offers a detailed description of a theorem, or a statement that can be proven true. Includes many terms related to theorems, also.
Texas Education Agency
Texas Gateway: Using Logical Reasoning to Prove Statements Are True
Given statements about a geometric relationship, the student will distinguish between the undefined terms, definitions, postulates, conjectures, and theorems to prove the statements are true.
CK-12 Foundation
Ck 12: Ferromagnetic Material: Maximizing 4 Pizza Slices
[Free Registration/Login Required] Students explore the concept of conjectures and counterexamples by navigating through the interactive learning module and then answering questions that go along with the module. Students can also learn...
Texas Instruments
Texas Instruments: Using a Table to Make Conjectures
This activity is used to practice making tables for investigating a geometrical problem and to develop techniques for trying different constructions to prove a theorem.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Logic and Proof
Practice using your graphing calculator for logic and proof problems. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each problem.
Math Planet
Math Planet: Geometry: Conjecture
Conjecture is explained through examples and a video lesson. [0:41]
CK-12 Foundation
Ck 12: Geometry: Types of Reasoning Study Guide
[Free Registration/Login may be required to access all resource tools.] Reasoning is a fundamental part of geometric proofs. There are several types of reasoning, many of which we innately and naturally picked up. However, the different...
CK-12 Foundation
Ck 12: Geometry: Conjectures and Counterexamples
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to make conjectures and provide counterexamples. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Geometry: Conjectures and Counterexamples
[Free Registration/Login may be required to access all resource tools.] In this lesson students make conjectures and provide counterexamples. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Wolfram Research
Wolfram Math World: Conjecture
This MathWorld site gives the definition of conjecture with links to related sites.