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Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Interactive
Shodor Education Foundation

Data Flyer

For Students 6th - 12th Standards
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...
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Lesson Plan
Curated OER

Graphs and Data

For Teachers 7th - 10th
Young scholars investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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Activity
PBL Pathways

Doctors and Nurses

For Students 11th - Higher Ed Standards
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....
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Performance
Radford University

Modeling Statistical Data

For Teachers 9th - 12th Standards
Can people predict the number of future divorces? Scholars research and analyze data on the number of divorces and teenage pregnancies in Virginia over time. They use the data to create graphs, determine the best-fit equations, and make...
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Lesson Plan
American Statistical Association

Scatter It! (Using Census Results to Help Predict Melissa’s Height)

For Teachers 6th - 8th Standards
Pupils use the provided census data to guess the future height of a child. They organize and plot the data, solve for the line of best fit, and determine the likely height and range for a specific age. 
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Interactive
Shodor Education Foundation

Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
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Activity
PBL Pathways

College Costs 2

For Students 10th - Higher Ed Standards
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...
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Lesson Plan
Virginia Department of Education

Quadratic Curve of Best Fit

For Teachers 10th - 12th Standards
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
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Lesson Plan
American Statistical Association

Scatter It! (Predict Billy’s Height)

For Teachers 8th Standards
How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...
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Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
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...
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Assessment
Concord Consortium

Here Comes the Sun

For Students 11th - 12th Standards
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
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Activity
2
2
Teach Engineering

Using Hooke's Law to Understand Materials

For Teachers 10th - 12th Standards
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...
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Activity
101 Questions

Penny Circle

For Teachers 7th - 12th Standards
Watch as your classes buy into a rich lesson full of information. A video opener challenges individuals to determine the number of pennies that fit in a circle with a 22-inch diameter. Using lesson materials, scholars collect data and...
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Lesson Plan
Kenan Fellows

Least Squares Linear Regression in R

For Students 9th - 12th Standards
The task? Determine the how effective hospitals are at reducing the rate of hospital-acquired infections. The method? Data analysis! Using an open source software program, individuals use provided data and create scatterplots to look for...
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Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
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. 
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Lesson Plan
EngageNY

Linear and Exponential Models—Comparing Growth Rates

For Students 9th - 10th Standards
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
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Lesson Plan
Albert Shanker Institute

Economic Causes of the March on Washington

For Teachers 6th - 8th Standards
Money can't buy happiness, but it can put food on the table and pay the bills. The first of a five-lesson unit teaches pupils about the unemployment rate in 1963 and its relationship with the March on Washington. They learn how to create...
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Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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Lesson Plan
Statistics Education Web

The United States of Obesity

For Students 9th - 12th Standards
Mississippi has both the highest obesity and poverty rate in the US. Does the rest of the data show a correlation between the poverty and obesity rate in a state? Learners tackle this question as they practice their skills of regression....
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Lesson Plan
Curated OER

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
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Lesson Plan
EngageNY

Analyzing Residuals (Part 2)

For Teachers 9th - 10th Standards
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
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Lesson Plan
Curated OER

Basketball Bounces, Assessment Variation 1

For Teachers 9th - 12th Standards
This highly scaffolded, summative assessment tasks learners to choose the model that represents the height of a bouncing basketball given the data in graph and table form. Learners then use the model to answer questions about the...