Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data worksheet, students use quadratic functions to model data using three different methods. This worksheet provides explanations and an example. Additionally, students are given the steps to find the maximum or...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging instructional activity on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Linear Equations Data Tables
Students graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...
Wordpress
Introduction to Exponential Functions
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
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...
Mathematics Vision Project
Modeling Data
Is there a better way to display data to analyze it? Pupils represent data in a variety of ways using number lines, coordinate graphs, and tables. They determine that certain displays work with different types of data and use two-way...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
Curated OER
Exploring Linear Equations And Scatter Plots - Chapter 5 Review
Students complete rolling stocks experiment, and collect and enter data on the computer. They enter data on graphing calculators, complete scatter plot by hand with line of best fit, and discuss different graphing methods.
Curated OER
Algebra I - Worksheet G12: Graphing Lines
In this graphing lines worksheet, high schoolers graph 28 lines given various data. Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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...
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....
Ed Migliore
Linear Equations in Two Variables
This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...
Texas Instruments
Is It or Isn't It Proportional
How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...
Curated OER
Linear and Exponential Models
Learners linearize data to determine if an exponential model is suitable. In 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...
PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
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...
American Statistical Association
What Fits?
The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...
EngageNY
Increasing and Decreasing Functions 1
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...