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Khan Academy

Khan Academy: Combinations

For Students 9th - 10th
This 4-problem quiz/practice using 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?
Unit Plan
Math Is Fun

Math Is Fun: Combinations and Permutations

For Students 9th - 10th Standards
Combinations and permutations are explained clearly, with lots of examples. Includes practice questions.
Interactive
Math Is Fun

Math Is Fun: Combinations and Permutations Calculator

For Students 9th - 10th Standards
By entering terms for how you want to combine items, you can use this calculator to determine all the different combinations and permutations you can have. For more advanced users, various rules are explained and how to use them.
eBook
Math Planet

Math Planet: Combinations and Permutations

For Students 9th - 10th Standards
Gain an understanding of combinations and permutations by viewing an example and a video lesson. [1:15]
Website
PBS

Pbs Learning Media: Lock Combinations of Knobs and Keys

For Students 3rd - 8th
In this Cyberchase video segment, Matt and Jackie must figure out which combination of knob and key will get them one step closer to retrieving the Black Crystal.
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 young scholars understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations.
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.
Activity
University of Cambridge

University of Cambridge: Maths and Sports: Arsenal Collection: Football Formations

For Students 5th - 8th Standards
How many different football team formations can you find? This activity provides an engaging real-life context to investigate simple combinations, and is aimed at Key Stage 3 students.
Activity
University of Cambridge

University of Cambridge: Maths and Sports: The Games' Medals

For Students K - 1st Standards
Who could have won the gold, silver and bronze medals? This activity is designed to be accessible to primary pupils at Key Stage 1.
Professional Doc
Louisiana Department of Education

Louisiana Doe: Louisiana Believes: Eureka Math Parent Guide: Addition and Subtraction of Length Units

For Students 2nd Standards
A guide to support parents as they work with their students addition and subtraction of length units.
Activity
Other

Lake Tahoe Com. College: Permutations and Combinations

For Students 9th - 10th Standards
Gives a basic introduction to combinations and permutations, highlighting the ideas of counting using replacement versus without replacement, and when order is important versus when order is not important.
Activity
Interactive Mathematics

Interactive Mathematics: Permutations

For Students 9th - 10th Standards
Permutations are used in several detailed examples to demonstrate the method for finding the number of arrangements of events.
Unit Plan
CK-12 Foundation

Ck 12: Probability: Tree Diagrams Grades 10 12

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers Tree Diagrams, combinations or permutations to determine the probabilities of multiple events and probability distributions.
Unit Plan
CK-12 Foundation

Ck 12: Probability: Combinations Grade 7

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Recognize and identify combinations.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Social Security Numbers

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson is good practice for students who have already learned about permutations. U.S. Social Security Numbers are explained, and then students find the number of different SSNs which...
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]
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice: Discrete Mathematics and Probability

For Students 9th - 10th
Practice using your graphing calculator for factorial, combination, and permutation expressions. 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.
Activity
Interactive Mathematics

Interactive Mathematics: Combinations

For Students 9th - 10th Standards
The combination function is used to solve probability counting problems. Several examples are presented with detailed solutions.
Lesson Plan
PBS

Pbs: Jazz and Math: Improvisation Permutations

For Teachers 9th - 10th
This lesson deals primarily with the number of rhythmic combinations that can be found in a four beat measure of music. Students will learn through trial and error and derive a mathematical formula to calculate the number of possible...
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.
Lesson Plan
Alabama Learning Exchange

Alex: I Scream for Ice Cream!

For Teachers 3rd - 8th
In this lesson, students will figure out how many different combinations of ice cream flavors and cones they can make. Students will work cooperatively to make the different combinations. They will use various materials to actually make...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Combination Locks

For Students 3rd - 8th
If you're good with numbers, then here's a challenge just for you. See if you can figure out how many three number combinations you can make using numbers from 0 to 39. A probability challenge that explores number arrangements. Taken...
Activity
Annenberg Foundation

Annenberg Learner: The Towers Problem

For Students Pre-K - 1st
Build as many different looking towers as is possible, each exactly four cubes high using two colors of Unifix Cubes. Convince yourself and others that you have found all possible towers four cubes high and that you have no duplicates.
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Khan Academy

Khan Academy: Counting Casts 2

For Students 9th - 10th
In this 7-problem quiz/practice, using the numbers given, students must determine how many different ways can you cast this scene.

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