Curated OER
Pizza Toppings 2
Students explore possible combinations of items. They devise and use problem solving strategies to explore situations mathematically. They examine using linear and quadratic patterns to solve combination problems. From a given...
Curated OER
Double Dipping
Fifth graders find and display all possible pairs of flavors of ice cream and look for patterns in the results. They discuss strategies for finding all combinations of flavors. Students explain and write a description for the pattern...
Curated OER
Sun and Clouds
First graders use Kidspiration software to practice putting pictures on screen in a straight line. They examine pictures of suns and clouds and create as many different combinations of seven from pictures that they can.
Curated OER
Let Me Count the Ways
Students create different combinations of shorts and shirts to make as many outfits as possible.
National Council of Teachers of Mathematics
Nctm: Illuminations: Bobbie Bear's Vacation Outfits
Help Bobbie Bear figure out how many outfits he could make with his shirts and pants. He can have up to 5 shirts and 4 pants. Figure out all the possible combinations.
National Council of Teachers of Mathematics
The Math Forum: Pascal's Triangle and Combinations
This page gives a description of how to use Pascal's Triangle to determine the total number of possible combinations for a sample set. Also provides a helpful example.
McGraw Hill
Glencoe: Self Check Quizzes 2 Combinations
Use Glencoe's Math Course 2 randomly generated self-checking quiz to test your knowledge of combinations. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page click the "Check It"...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Permutations, Factorials and Combinations
Thirty-one problems present a variety of practice working with permutations, factorials and combinations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the...
Other
The Actuarial Foundation: Let's Go to the Mall! Explorations in Combinatorics
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.
PBS
Pbs Learning Media: Cyberchase: Force Field Combinations
In this Cyberchase video segment, the CyberSquad finds the right combination of switch, lever and button that will deactivate the force field protecting the stolen Black Crystal. [3:21]
Wolfram Research
Wolfram Math World: Combination
This MathWorld page gives an explanation of combinations as they pertain to probability. Offers links to more complete information about various topics related to combinations.
National Council of Teachers of Mathematics
The Math Forum: Why Does 0! = 1?
Dr. Math describes the reasoning behind 0! = 1.
Texas A&M University
Sets and Set Notation [Pdf]
Learn from this PDF file filled with definitions, examples, and venn diagrams all relating to sets and set notation.
National Council of Teachers of Mathematics
The Math Forum: Drexel University: Boy or Girl?
Dr. Math explores the probability of the children in families being boys or girls. A look at the mathematics involved in each situation is included.
National Council of Teachers of Mathematics
The Math Forum: Pascal's Triangle and the Ice Cream Cones
Dr. Math explains how Pascal's triangle can be used to determine the possible combinations of ice cream cones that can be made with different numbers of flavors. His response also includes an explanation using combination functions.
University of Regina (Canada)
University of Regina: Math Central: Thoughts on Teaching Perm. And Combin.
An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
Contains lessons and activities on Pascal's Triangle at three levels: elementary, intermediate, and advanced.
Texas Instruments
Texas Instruments: Probability
Using the counting principle, permutations, combinations, probability, and odds, students will solve problems encountered in day to day experiences.
Texas Instruments
Texas Instruments: Probability and Fundamental Counting Principle
In these questions, students use the fundamental counting principle, combinations and permutations to determine the number of possible outcomes and the probability. Solutions and explanations are included.
Texas Instruments
Texas Instruments: Numb3 Rs: Right or Wrong
Based off of the hit television show NUMB3RS, this lesson helps students draw a connection between binomial expansions, probabilities, combinations, and Pascal's Triangle. The lesson is framed in the context of randomly guessing a number...
Texas Instruments
Texas Instruments: Probably Not!
Students learn to find the theoretical probability of different female/male combinations in a family of kittens. Students will investigate empirical and theoretical probabilities and make a connection to Pascal's triangle and binomial...
Texas Instruments
Texas Instruments: Let Us Count the Ways!
In this activity, students evaluate expressions using permutations and combinations of data elements on the calculator. They solve problems using these counting principles.
PBS
Pbs Learning Media: Cyberchase: Fixing the Teleporter Part 1
In this Cyberchase video, the Teleporter breaks and the CyberSquad must try to fix it using clues given to them by Ms. Fileshare. This is one in a series of two problem-solving videos. [3:49]
PBS
Pbs Learning Media: Transporting to Ms. Fileshare
In this video segment from Cyberchase, the CyberSquad tries to reach Ms. Fileshare by using a 3 x 3 matrix to figure out the various ways they can travel to her.