Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
Charleston School District
Analyzing Scatter Plots
Scatter plots tell a story about the data — you just need to be able to read it! Building from the previous lesson in the series where learners created scatter plots, they now learn how to find associations in those scatter plots. They...
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
Making Predictions from Data with a Graphing Calculator
In this making predictions from data activity, students solve 15 short answer problems. Students determine average miles per gallon given data on miles traveled and gas used. Students make predictions using the data and a line of best fit.
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.
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
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
Now That's Using Your Head!
Explore linear measurement. Scholars will measure the circumference of their head and the distance they can jump. Information is recorded, averages are calculated, and a data table is completed. They then determine possible relationships...
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.
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...
NASA
Spacewalking
Hold your breath. The video and interactive website introduce the class to spacewalking and spacesuits. Using oxygen data from two astronauts, individuals determine a mathematical model to fit the data. Using that mathematical model, the...
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....
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...
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...
Curated OER
Properties of a Good Graph
In this chemistry worksheet, students examine the common characteristics of an acceptable graph that is meant to be used to display data.
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...
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
Curated OER
How Many Frogs?
Students explore the concept of linear regression. In this linear regression lesson, students find the line of best fit for a set of data pertaining to a frog population. Students use their line of best fit to predict the frog population...
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
EngageNY
Modeling an Invasive Species Population
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications.
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...
Project Maths
Correlation Coefficient
Of course, there might be a correlation! Young mathematicians investigate several different data sets, create scatter plots, and determine any correlation. They consider whether a causation exists between any of the variables in question.
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