For this combinatorics worksheet, 8th graders work in a group to solve 5 problems finding the total number of combinations in a situation.

What middle schooler does not enjoy an occasional online game? In this lesson play, you will find embedded links to an online probability game, and informative pages about how division is used in probability, the concept of tree models,...

Students see how division is used to help solve probability problems. They use tables as data structures where they are used to count outcomes and to compute probabilities. Students use games to help solve probability problems.

In this dominoes worksheet, students solve a word problem involving different ways to put dominoes together. Students complete 1 complicated higher order thinking problem.

The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.

In this word problems worksheet, students complete word problems involving combining outfits, probability, magic, and more. Students complete 5 problems.

In this numbered doors worksheet, students solve a problem where they find the least expensive way to put metal numbers on doors that all have a certain value. Students complete 1 problem.

Fourth graders solve a dominoes word problem, calculating all the possible outcomes for a sequence of events. They discuss the problem, apply counting strategies, create a tree diagram, and write an explanation of how they solved the...

Students solve the handshake problem and investigate triangular numbers. In this geometry lesson, students investigate Blotto games as they apply concepts of triangles and geometric theorems.

Students combine different foods to make possible lunches and determine the specific combinations of lunches that can be made from a finite set of foods.

In this calculus instructional activity, students review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.

Students explore the concept of exponential growth.  In this exponential growth lesson, students solve a problem about ensuring fairness in a Tug-of-War.  Students determine which students should be on a team to ensure that...

Students are able to assess a problem and use systematic methods to solve the problem. They also find out all the possible outcomes for a sequence of events using tree diagrams.

Video presentation on combinatorics, or the "mathematics of counting complicated configurations." Offers several examples of combinatorics as used in real world situations and professions. [28:26]

This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...

Let's Go to the Mall! is designed to help students understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations.

Introductory permutation problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Practice solving problems on permutations and combinations with overcounting. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Introductory combination problems, like if you have 5 friends and can pick 2 of them to join you on a boat ride, how many different groups of friends could you take with you? Students receive immediate feedback and have the opportunity...

A tutorial on combinatorics methods of fast counting.

Welcome to Crowds: In this topic we'll explore how swarms of robots were created for WALL-E using combinatorics. Two lessons: Building Crowds, grades 4-7 and Counting Crowds, grades 9-12.

This page from the Electronic Journal of Combinatorics presents some advanced information about Venn diagrams, including formal definitions, symmetric Venn diagrams, variants of Venn diagrams, unsolved problems, who John Venn was, and...

This is a hands on activity asks students to design and build a certain number dinosaur parts in order to create a crowd of a given size. Apply combinatorics to design your own crowd of dinosaurs. Click on First Lesson before you begin...

Apply division to determine the probability of outcomes with a racing game.