PBL Pathways
Students and Teachers
Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
American Statistical Association
EllipSeeIt: Visualizing Strength and Direction of Correlation
Seeing is believing. Given several bivariate data sets, learners make scatter plots using the online SeeIt program to visualize the correlation. To get a more complete picture of the topic, they research their own data set and perform an...
EngageNY
Modeling Linear Relationships
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target J
Look at patterns in bivariate data. Eight sample items illustrate the eighth grade statistics and probability standards. The Smarter Balanced Sample multiple-choice items focus on numerical and categorical bivariate data. The slide show...
Curated OER
Linear Modelling of the Life Expectancy of Canadians
Middle and high schoolers explore the concept of linear modelling. In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find the...
Curated OER
Price of Apples- Linear Data
Students collect data and create a graph. In this algebra instructional activity, students describe functions graphically, algebraically and verbally. They identify functions as being independent and dependent using variables.
Inside Mathematics
House Prices
Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
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...
Curated OER
Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. For this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Curated OER
In the Billions and Linear Modeling
Your learners analyze population data to discern if it best fits a linear scenario. The idea of change by equal differences over equal intervals is enforced in this real-life task.
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Teach Engineering
Forms of Linear Equations
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Curated OER
A Day at the Beach
Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Curated OER
Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
EngageNY
Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 4
A math model is a good model. A slide show presents 10 sample items on modeling and data analysis. Items from Smarter Balanced illustrate different ways that Claim 4 may be assessed on the 8th grade math assessment. The presentation is...