Statistics Education Web
Text Messaging is Time Consuming! What Gives?
The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...
Teach Engineering
Quantum Dots and Colors
Introduce teams to quantum dot solutions with an activity that has them expose solutions to a blacklight, observe the colors, and take measurements. Groups graph the data and analyze the dependence between particle size and color...
Teach Engineering
Energy on a Roller Coaster
Roll with your class into the idea of conservation of energy. Pupils use a roller coaster track to collect data to reinforce the concept of conservation of energy and the influence of friction. Class members then create a graph from...
West Contra Costa Unified School District
Correlation and Line of Best Fit
Computers are useful for more than just surfing the Internet. Pupils first investigate scatter plots and estimate correlation coefficients. Next, they use Microsoft Excel to create scatter plots and determine correlation coefficients and...
EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
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.
Teach Engineering
Density Column Lab - Part 2
Groups suspend objects within layers of liquids to determine the densities of different liquids and compare them to the densities of objects calculated in Part 1. The groups then carefully test their calculations by layering the liquids...
Teach Engineering
Density Column Lab - Part 1
Mass and density — aren't they the same thing? This activity has groups use balance beams and water displacement to measure several objects. The pupils use the measurements to calculate the density of the objects.
Teach Engineering
Water Remediation Lab
Water filtration — that's pure genius! Groups test the ability of a water filter to purify water by running chlorine contaminated water through a filter and measuring the chlorine concentrations as they filter the water. They then graph...
Teach Engineering
Preconditioning Balloons: Viscoelastic Biomedical Experiments
What does stretching a balloon have to do with equilibrium? Groups explore preconditioning by stretching a balloon to a point of equilibrium. They then measure the amount of force required to stretch the balloon to the same point several...
Teach Engineering
Measuring Viscosity
Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...
Teach Engineering
Using Hooke's Law to Understand Materials
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups predict the...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Willow Tree
Scatterplots and Stem-and-Leaf Plots
Is there a correlation between the number of cats you own and your age? Use a scatter plot to analyze these correlation questions. Learners plot data and look for positive, negative, or no correlation, then create stem-and-leaf plots to...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to solve problems...
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 based...
Teach Engineering
Pointing at Maximum Power for PV
Following detailed directions, teams collect the voltage and current outputs of a photovoltaic cell by adjusting the resistance. Using the collected data, they determine the highest power output. Implications for weather and a large...
Teach Engineering
Can You Resist This?
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
Teach Engineering
Fun with Air-Powered Pneumatics
How high did the ball go? Engineering teams build a working pneumatic system that launches a ball into the air. The teams vary the amount of pressure and determine the accompanying height of the ball. An extension of building a device to...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
EngageNY
Relationships Between Two Numerical Variables
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
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
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...