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...
Curated OER
Permutations
In this math worksheet, students read about the concept of permutations. They arrange the objects in a certain order and think of the possible combinations.
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...
Curated OER
Permutations & Combinations
Young mathematicianss predict the outcome of an event. Learners solve problems using permutations and combinations. They use the TI calculator to see the different combinations and how the groupings occur.
Curated OER
Permutations
Learn how to solve the probability that an event will occur. Learners also employ permutations and combinations to find the amount of time it takes for an event to occur. They use the Ti to create a visual of the events.
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...
Curated OER
Group Wall Drawing
Students create a group wall drawing that demonstrate the contributions that each part makes to the whole.
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...
Curated OER
Who Does the Lottery Benefit?
Students investigate the pros and cons of the lottery. In this algebra activity, students use the formulas for permutation and combination to test their arguments about the lottery. They collect data about their argument and plot it on a...
Curated OER
What's in the Bag?
Students calculate the probability of an event occurring. In this statistics lesson, students calculate the outcome using combination and permutation. They differentiate between-theoretical and experimental probability.
Balanced Assessment
Initials
Learners explore the meaning of groups formed through permutations and combinations with an activity that asks individuals to determine the total number of pupils needed to guarantee that at least one pair has the same initials. They...
Balanced Assessment
Classroom Groups
How many different ways can a teacher organize a class into groups? In a grouping activity, learners explore the number of possible combinations of groups given different total participants and size criteria. They then make comparisons...
Curated OER
Combinations and Permutations
Fifth graders investigate the concepts of combinations and permutations using probability. They practice calculations using probability to measure the outcomes. Students demonstrate how to organize and categorize the data.
Balanced Assessment
Lotto
You can't win if you don't play! Find out how to increase your chances of winning the lottery. Scholars analyze a state lottery system for the probability of winning. They also consider different combinations of numbers and how they...
101 Questions
Safe Cracking
How long would it take to break into a safe by testing every possible combination of codes? Pupils view a video clip of this happening and must determine the total amount of time before success. They measure how long each step takes, add...
Curated OER
Non-Random Variables: NBA Championship
Young scholars demonstrate probability distribution of non-random variables. Students collect data on the NBA Championships. They record the data and compute subsets and permutations.
Curated OER
Combinations
In this math worksheet, students investigate the concept of using combinations. They compare this with permutations where a different order of the same set of objects is counted separately for the outcome.
Curated OER
Lining Up the Cars
Learners review how to count the total amount of arrangements using multiplication. Using a computer, they determine the amount of cars needed for a parade in their local community to move the town's officials. They identify any patterns...
Virginia Department of Education
Organizing Topic: Probability
The probability is high learning will occur! A well-designed unit introduces learners to the concepts of independent, dependent, and mutually exclusive events. Using Venn diagrams, the lessons ask learners to analyze many different...
Curated OER
Modeling Permutation Group
Students explore the concept of transformations. In this transformations lesson, students construct an equilateral triangle and a square with a circumscribed circle. Students reflect and rotate their constructions.
Curated OER
Shell Sort; Serving up Seafood
Students complete various small group activities to classify items and determine the types of combinations that can be made with these items. In the second lesson, students create menus for a restaurant to help them gain money sense and...
Curated OER
It Ain't Necessarily So
Students examine characterization of African Americans in literature, popular culture, and opera. In this stereotypes lessons, students conduct research that requires them to analyze the origins and content of stereotypes perpetuated...
Curated OER
Calculating and Applying Basic Probability
Eighth graders investigate the basic concepts of probability. For this probability lesson, 8th graders learn the associated probability. They work with spinners, colored cubes in a bag, flip coins, and choose colored candies while they...
Curated OER
Improbability of Evolution
Young scholars disprove evolution. In this science lesson, students disprove evolution by attempting to prove that creation is the way it all began. They use the improbability that evolution could exist and expose its fallacies, frauds...