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Lesson Plan
Curated OER

Pizza Toppings 2

For Teachers 8th - 10th
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...
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Lesson Plan
Curated OER

Double Dipping

For Teachers 5th
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...
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Lesson Plan
Curated OER

Sun and Clouds

For Teachers 1st
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.
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Lesson Plan
Curated OER

Let Me Count the Ways

For Teachers 3rd - 4th
Students create different combinations of shorts and shirts to make as many outfits as possible.
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Bobbie Bear's Vacation Outfits

For Students Pre-K - 1st
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.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle and Combinations

For Students 9th - 10th Standards
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.
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Unknown Type
McGraw Hill

Glencoe: Self Check Quizzes 2 Combinations

For Students 9th - 10th
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"...
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Handout
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Permutations, Factorials and Combinations

For Students 9th - 10th Standards
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...
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Lesson Plan
Other

The Actuarial Foundation: Let's Go to the Mall! Explorations in Combinatorics

For Teachers 3rd - 8th
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.
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Website
PBS

Pbs Learning Media: Cyberchase: Force Field Combinations

For Students 3rd - 8th
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]
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Website
Wolfram Research

Wolfram Math World: Combination

For Students 9th - 10th Standards
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.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Why Does 0! = 1?

For Students 9th - 10th
Dr. Math describes the reasoning behind 0! = 1.
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Unit Plan
Texas A&M University

Sets and Set Notation [Pdf]

For Students 9th - 10th Standards
Learn from this PDF file filled with definitions, examples, and venn diagrams all relating to sets and set notation.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Drexel University: Boy or Girl?

For Students 9th - 10th Standards
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.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Pascal's Triangle and the Ice Cream Cones

For Students 9th - 10th
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.
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Activity
University of Regina (Canada)

University of Regina: Math Central: Thoughts on Teaching Perm. And Combin.

For Students 9th - 10th Standards
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...
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Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Exploring Pascal's Triangle

For Teachers 3rd - 5th
Contains lessons and activities on Pascal's Triangle at three levels: elementary, intermediate, and advanced.
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Activity
Texas Instruments

Texas Instruments: Probability

For Teachers 9th - 10th Standards
Using the counting principle, permutations, combinations, probability, and odds, students will solve problems encountered in day to day experiences.
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Activity
Texas Instruments

Texas Instruments: Probability and Fundamental Counting Principle

For Teachers 9th - 10th Standards
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.
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Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Right or Wrong

For Teachers 9th - 10th Standards
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...
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Activity
Texas Instruments

Texas Instruments: Probably Not!

For Teachers 6th - 8th Standards
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...
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Activity
Texas Instruments

Texas Instruments: Let Us Count the Ways!

For Teachers 9th - 10th
In this activity, students evaluate expressions using permutations and combinations of data elements on the calculator. They solve problems using these counting principles.
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Website
PBS

Pbs Learning Media: Cyberchase: Fixing the Teleporter Part 1

For Students 3rd - 8th
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]
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Website
PBS

Pbs Learning Media: Transporting to Ms. Fileshare

For Students 3rd - 8th
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.