Curated OER
Series Review Sheet
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.
National Security Agency
It's Probably Probable
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...
Texas Instruments
Exploring the Binomial Theorem
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...
Concord Consortium
Perfect Ten
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...
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
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...
Shodor Education Foundation
Marbles
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...
CK-12 Foundation
Permutations and Combinations Compared: Ice Cream Bar
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.
CK-12 Foundation
Permutations and Combinations Compared: Colored Candies
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...
CK-12 Foundation
Counting Techniques: Permutations and Combinations
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...
CK-12 Foundation
Combination Problems: Friends at a Party
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...
CK-12 Foundation
Combinations: Making the Team
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...
Illustrative Mathematics
Daisies in Vases
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...
Virginia Department of Education
Permutations and Combinations
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...
Balanced Assessment
MasterMind
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...
Balanced Assessment
Pizza Toppings
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...
Balanced Assessment
Dog Tags
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...
EngageNY
End-of-Module Assessment Task - Precalculus (Module 5)
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...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 5
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.
EngageNY
Counting Rules—Combinations
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...
Balanced Assessment
Genetic Codes
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.
Balanced Assessment
Red Dots, Blue Dots
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...
EngageNY
Using Permutations and Combinations to Compute Probabilities
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...
Balanced Assessment
Batting Orders
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....
Math Wire
Gingerbread Man Combinations
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.