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...
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.
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...
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
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.
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...
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...
Curated OER
Budgeting Fixed and Variable Expenses
Young scholars 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...
Curated OER
Operations with Functions Including Composition
Students explain functions. In this function lesson, students solve functions. Groups of students develop strategies to perform operations with functions. They write test questions using functions which include all operations...
Curated OER
Data Collection
Students investigate qualitative and quantitative data. In this statistics lesson, students gather data on heights and weights of people and graph the distribution. Students discuss the differences between qualitative and quantitative data.
Virginia Department of Education
Inequalities
Compare graphing an inequality in one variable on a number line to graphing an inequality in two variables on a coordinate plane. Young mathematicians work on a puzzle matching inequalities and their solutions. They then complete a...
Science 4 Inquiry
The Ups and Downs of Populations
As the reality of population decline across many species becomes real, pupils learn about the variables related to changes in populations. They complete a simulation of population changes and graph the results, then discuss limiting...
Curated OER
The Scientists’ Way
Students summarize the steps of the scientific method. In this life science lesson, students explain the importance of varying only one variable at a time. They analyze possible flaws in their experiment.
EngageNY
Determining Discrete Probability Distributions 2
Investigate how long-run outcomes approach the calculated probability distribution. The 10th installment of a 21-part module continues work on probability distributions from the previous lesson. They pool class data to see how conducting...
EngageNY
Estimating Probability Distributions Empirically 1
What if you don't have theoretical probabilities with which to create probability distributions? The 11th installment of a 21-part module has scholars collecting data through a survey. The results of the survey provide empirical data to...
Curated OER
Probability and Statistics
In this probability and statistics worksheet, high schoolers solve independent and dependent probability problems. They identify the mean, mode and range of a set of numbers. This two-page worksheet contains five probability problems.
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
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