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...
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
K20 LEARN
Transformers Parts 2-5 - Algebra 2 Parent Functions: Function Transformations
Dive into an activity that may cause a little reflection! Building from the first lesson in the series of two, learners explore transformation using unfamiliar functions. The key takeaway is that applying transformations to any function...
MENSA Education & Research Foundation
Probably Probability
Reinforce the concept of probability with a series of lessons highlighting the idea of likelihood, probability formulas, relative frequency, outcomes, and event predictions. The collection is made up of four lessons offering informative...
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 2)
Without data, all you are is another person with an opinion. Show learners the power of statistics and probability in making conclusions and predictions. Using two-way frequency tables, learners determine independence by analyzing...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
North Carolina State University
Exploring Genetics Across the Middle School Science and Math Curricula
Where is a geneticist's favorite place to swim? A gene pool. Young geneticists complete hands-on activities, experiments, and real-world problem solving throughout the unit. With extra focus on dominant and recessive genes, Punnett...
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
Noyce Foundation
Fair Game?
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
Kenan Fellows
Applying Linear Regression to Marathon Data
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
Illustrative Mathematics
Tossing Cylinders
Everyone loves a lesson that involves throwing things around! To understand probability, your experimenters will predict how different cylinder-shaped objects will land when tossed. When the data is collected, they will calculate the...
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
EngageNY
Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 1)
Being a statistician means never having to say you're certain! Learners develop two-way frequency tables and calculate conditional and independent probabilities. They understand probability as a method of making a prediction.
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...