Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Curated OER
Cruising the Internet
Students identify the parts of an engine using a graph. For this statistics lesson, students make a graph from their collected data. They calculate the volume of a cylinder using a line of regression and a scatter plot.
Curated OER
Exploring Graphs
Learners are introduced to connecting graphing in a coordinate plane to making scatterplots on a graphing calculator. Working in pairs, they connect points plotted to make a sailboat and complete questions on a worksheet as well as plot...
Curated OER
Scatter Diagrams and Curve Fitting
In this Scatter Diagrams and Curve Fitting worksheet, students are guided in how to graph a scatter diagram (plot) and a Best Fit Line using a TI-83 graphing calculator.
EngageNY
Analyzing Residuals (Part 2)
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...
NASA
Space Shuttle Ascent: Altitude vs. Time
How long did it take to get to that altitude? Using a Google Earth file, groups explore a space shuttle launch. Using a calculator, groups determine the function that models the altitude/time data from an actual launch. With the model in...
Curated OER
Flicking Football Fun
Young mathematicians fold and flick their way to a deeper understanding of statistics with a fun, hands-on math unit. Over the course of four lessons, students use paper footballs to generate data as they learn how to create line...
Flipped Math
Correlation
Determine how close the line is to the scatter plot. Clear video instruction shows how to plot a scatter plot and find the best fit line using the linear regression function on a calculator. Pupils use the information from the calculator...
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
Corn-Crop is a Bin-Buster
Learners calculate percent change and create lists of data. They enter the corresponding bushels of corn measured in billions to their list and display, then convert the acres into scientific notation and use the value on the home screen...
Curated OER
Cloudy vs. Clear
Students analyze line plots. In this weather lesson plan using real NASA data, students discuss how weather affects the way the Earth is heated by comparing different line plots.
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....
Curated OER
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
Curated OER
Scatter Graphs
In this scatter graphs worksheet, students learn a way of illustrating information about two related values. Students complete 30 questions about the graphs. Note: One of the graphs has English pounds. This is intended as an online...
Teach Engineering
Determining Densities
Don't be dense—use a robust resource. The second installment of a five-part Floaters and Sinkers unit has learners determine the densities of several objects. As part of the activity, they learn the displacement method for finding...
Curated OER
Properties of Logarithms
Students explore the concept of logarithms. In this logarithms instructional activity, students graph logarithms on their Ti-Nspire calculator. Students describe the shapes of their graphs by identifying slope, y-intercepts, and...
Curated OER
The Price is Right
Students, through various activities, explore online databases. Using the internet, students explore the distributors websites. They collect specific information on selected products. An spreadsheet with price comparisons is developed....
NASA
Space Shuttle Ascent: Mass vs. Time
Set the stage for groups of rocket scientists to explore the change in mass of the space shuttle during ascent. Teams work together to graph actual launch data in order to determine the rate of propellent burn.
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
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...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 6
Test your knowledge of linear functions and models. The last installment of a 16-part module is an end-of-module assessment task. Pupils solve multi-part problems on bivariate data based on real-world situations to review concepts from...
Houston Area Calculus Teachers
Related Rates
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they collect,...