EngageNY
Discrete Random Variables
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
College Board
Random Variables vs. Algebraic Variables
Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.
EngageNY
Probability Distribution of a Discrete Random Variable
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
CK-12 Foundation
Sums and Differences of Independent Random Variables: Traveling Seasickness
Use a Punnett square to calculate probabilities. The resource presents a situation in which two patients are randomly selected from a group of patients with a particular illness. Pupils use the interactive to determine the likelihood...
American Statistical Association
How Random Is the iPod’s Shuffle?
Shuffle the resource into your instructional activity repertoire. Scholars use randomly-generated iPod Shuffle playlists to develop ideas about randomness. They use a new set of playlists to confirm their ideas, and then decide whether...
CK-12 Foundation
Discrete Random Variables: Roll the Dice!
And the winner is ... not always who it appears to be. An interactive gives the directions for a dice game that on the surface gives one player an advantage over the other. Pupils look closer at the possible outcomes and find the...
EngageNY
Experiments and the Role of Random Assignment
Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...
EngageNY
Determining Discrete Probability Distributions 1
Learn how to determine a probability distribution. In the ninth installment of a 21-part module, future mathematicians use theoretical probabilities to develop probability distributions for a random variable. They then use these...
EngageNY
Interpreting Expected Value
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
Curated OER
Non-Random Variables: NBA Championship
Learners demonstrate probability distribution of non-random variables. Students collect data on the NBA Championships. They record the data and compute subsets and permutations.
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
Estimating Probability Distributions Empirically 2
Develop probability distributions from simulations. Young mathematicians use simulations to collect data. They use the data to draw graphs of probability distributions for the random variable in question.
EngageNY
Types of Statistical Studies
All data is not created equal. Scholars examine the different types of studies and learn about the importance of randomization. They explore the meaning of causation and when it can be applied to data.
Teachers.net
Solving Equations Using Variables
Middle-schoolers solve linear equations with one single variable. They solve equations that are randomly generated using index cards. Half of an equation is written on each card and distributed to the class. which then attempts solve...
Curated OER
Stochastic and Deterministic Modeling
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
College Board
2012 AP® Statistics Free-Response Questions
There's no better way to prepare your class for the AP® test format than previous exams. Instructors and scholars use the 2012 AP® Statistics free-response questions to familiarize themselves with the test. Topics covered in the exam...
American Statistical Association
Chunk it!
Chunking information helps you remember that information longer. A hands-on activity tests this theory by having learners collect and analyze their own data. Following their conclusions, they conduct randomization simulations to test...
Flipped Math
Experimental Design
Experimentally, come up with a study design. Learners hear about different types of study designs, observational studies, and experiments. They identify the subjects, response variable, treatment, and whether there was a cause and...
Curated OER
Continuous Probability Distributions
In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential...
Chemistry Collective
Chemical Potential: Staircase Demonstration
It's all uphill from here! Scholars examine the pattern of random particle motion up a staircase. The simulation shows how the linear increase in energy corresponds to an exponential decrease in particle concentration.
Curated OER
Independent and Dependent Variables
In this probability worksheet, learners must complete five questions based on independent and dependent events of choosing marbles at random.
Curated OER
Budgeting Fixed and Variable Expenses
Students create a workable budget that includes allowances for fixed and variable expenses.
Georgia Department of Education
Math Class
Young analysts use real (provided) data from a class's test scores to practice using statistical tools. Not only do learners calculate measures of center and spread (including mean, median, deviation, and IQ range), but also use this...
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