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 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
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 worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
Curated OER
Four Color Theorem
Learners 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
high schoolers 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.