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.
Curated OER
Get a Half Life!: Student Worksheet
Upper elementary or middle schoolers will explore non-linear functions, graphing, and the curve of best fit through real-life data collection and trial analysis. They explore the concept of half-life and radioactive decay using M&Ms,...
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
National Research Center for Career and Technical Education
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
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.
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.
PBL Pathways
Medical Insurance 2
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation 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...
EngageNY
Piecewise and Step Functions in Context
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue.
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth lesson of seven integrating chemistry and algebra. Combining...
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Curated OER
What's My Pattern?
Students recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In the...
Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Rice University
Introductory Statistics
Statistically speaking, the content covers several grades. Featuring all of the statistics typically covered in a college-level Statistics course, the expansive content spans from sixth grade on up to high school. Material comes from a...
Mathematics Assessment Project
Middle School Mathematics Test 3
Real-life mathematics is not as simple as repeating a set of steps; pupils must mentally go through a process to come to their conclusions. Teach learners to read, analyze, and create a plan for solving a problem situation. The provided...
College Board
1998 AP® Statistics Free-Response Questions
Free-response questions form the 1998 AP® Statistics exam allow class members to analyze data from real-life situations. The situations include tracking defective parts, tracking butterflies, evaluating weed killers and determining...
Curated OER
Off to College
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Curated OER
Piecewise Linear Functions: Extending Stories to Graphs
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
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
Linear Patterns in Data
Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...
Curated OER
US Population 1982-1988
Your algebra learners make predictions using the concepts of a linear model from real-life data given in table form. Learners analyze and discuss solutions without having to write a linear equation.
Curated OER
Taxi!
Your young taxi drivers evaluate and articulate the reasoning behind statements in a conceptual task involving linear data. The given data table of distances traveled and the resulting fare in dollars is used by learners to explore...
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.