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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. 
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Unit Plan
National Security Agency

It's Probably Probable

For Teachers 6th - 8th Standards
Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach all learning...
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Lesson Plan
1
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Texas Instruments

Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas...
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Assessment
Concord Consortium

Perfect Ten

For Students 9th - 12th Standards
How many ways can you make 10? Class members tackle three problems to find all possible ways three numbers add to be 10. The first is with positive integers, secondly with non-negative integers, and finally with real numbers. Pupils also...
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Lesson Plan
Alabama Learning Exchange

Binomial Expansion—Shortcut Please

For Teachers 9th - 12th Standards
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
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Interactive
Shodor Education Foundation

Marbles

For Students 7th - 12th Standards
Grab some marbles from a bag. The applet simulates drawing marbles from a bag. Pupils determine the number of four colors of marbles in a bag and how many marbles to draw. Using information on whether order matters in the draw and if...
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Interactive
CK-12 Foundation

Permutations and Combinations Compared: Ice Cream Bar

For Students 9th - 12th Standards
Learning math from an ice cream shop—what a tasty treat! Individuals use an interactive to list all possibilities for a double-scoop ice cream. Along the way, they learn to distinguish between permutations and computations.
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Interactive
CK-12 Foundation

Permutations and Combinations Compared: Colored Candies

For Students 9th - 12th Standards
Here's a sweet resource on sample spaces. An enticing interactive allows users to list all possibilities for the flavors of candy given to a friend. Scholars must also determine whether permutations or combinations are more appropriate...
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Interactive
CK-12 Foundation

Counting Techniques: Permutations and Combinations

For Students 11th - 12th
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
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Interactive
CK-12 Foundation

Combination Problems: Friends at a Party

For Students 9th - 12th Standards
Friend or stranger? Can there be less than three in a group? The interactive asks learners to prove that for seven people at a party, at least three of them are either mutual friends or mutual strangers. Pupils determine the number of...
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Interactive
CK-12 Foundation

Combinations: Making the Team

For Students 9th - 12th Standards
Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one individual...
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Activity
Illustrative Mathematics

Daisies in Vases

For Students 1st Standards
Have your first graders master word problems with an activity that prompts them to find as many combinations for daisies in vases, with the most in the large vase and the least in the small vase. Pupils must also explain their reasoning...
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Lesson Plan
Virginia Department of Education

Permutations and Combinations

For Teachers 10th - 12th Standards
Counting is not all it adds up to be — sometimes it involves multiplying. The lesson introduces permutations and combinations as ways of counting, depending upon whether order is important. Pupils learn about factorials and the formulas...
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Assessment
1
1
Balanced Assessment

MasterMind

For Students 9th - 12th Standards
Knowledge of statistics and probability can increase your advantage when playing games. The activity asks learners to analyze the game of MasterMind to determine the number of possible codes. They also examine different variations of the...
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Assessment
1
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Balanced Assessment

Pizza Toppings

For Students 9th - 12th Standards
Pupils work with a pizza shop's menu to determine the total number of pizzas possible from their ingredient list, how much the pizzas would cost, and how long it would take to eat all of them. The assessment concludes by having scholars...
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Assessment
1
1
Balanced Assessment

Dog Tags

For Students 9th - 12th Standards
Class members demonstrate a proficiency with conditional probabilities through this task. Individuals calculate probabilities using multiplication and addition. They also distinguish between repetition and non-repetition while...
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Assessment
EngageNY

End-of-Module Assessment Task - Precalculus (Module 5)

For Students 11th - 12th Standards
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and analyzing...
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Assessment
EngageNY

Mid-Module Assessment Task: Pre-Calculus Module 5

For Teachers 11th - 12th Standards
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
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Lesson Plan
EngageNY

Counting Rules—Combinations

For Teachers 11th - 12th Standards
Discover how combinations are different from permutations. In the third installment of a 21-part module, scholars learn how to determine combinations of objects. They learn to distinguish between situations where order is important and...
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Assessment
1
1
Balanced Assessment

Genetic Codes

For Students 11th - 12th Standards
Determine the number of possible genetic codes. Class members are challenged to determine the number of possibilities of a genetic code that is 20 bases long. They continue to explore the average lengths of broken RNA molecules.
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Assessment
1
1
Balanced Assessment

Red Dots, Blue Dots

For Students 11th - 12th
Count the connections between dots. Young mathematicians come up with a method to determine the number of connections between pairs of dots. The assessment leads the class to determine the connections they can make when groups are...
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Lesson Plan
EngageNY

Using Permutations and Combinations to Compute Probabilities

For Teachers 11th - 12th Standards
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
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Assessment
1
1
Balanced Assessment

Batting Orders

For Students 9th - 12th Standards
A baseball coach has more than 700 billion decisions to make before a game even starts, and in this resource individuals calculate the number of ways a coach can make a batting lineup. The first question places nine players out of nine....
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Worksheet
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Math Wire

Gingerbread Man Combinations

For Students 4th - 8th
Gingerbread men are just like us—they're unique! Discover how many combinations are possible when constructing a gingerbread man with several choices for shapes and colors of eyes, noses, and buttons.