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EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
Federal Reserve Bank
Less Than Zero
Perry the penguin wants to buy a new scooter, but he doesn't have any funds! Walk your kids through the short book Less Than Zero, and have them track his borrowing, spending, and saving on a line graph while you read. Pupils will learn...
Virginia Department of Education
Graphs
Examine different types of graphs as a means for analyzing data. Math scholars identify the type of graph from a series of data displays and then develop questions to match each one. Then, given a scatter plot of height versus age...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
West Contra Costa Unified School District
Connecting Graphing and Solving Absolute Value Equations and Functions
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
Education Development Center
Geography of the Coordinate Plane
Put the graph into graphing and allow learners to understand the concept of point plotting and how it relates to data. The worksheet provides a nice way to connect data analysis to a graph and make predictions. The worksheets within...
Curated OER
Birds' Eggs
More than just data, scatter plots are full of information that can be used to answer a variety of questions. This lesson uses a plot with information about bird egg sizes to answer questions about the relationship between length and...
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...
Virginia Department of Education
May I Have Fries with That?
Not all pie graphs are about pies. The class conducts a survey on favorite fast food categories in a lesson on data representation. Pupils use the results to create a circle graph.
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
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...
K20 LEARN
You’re The Network: Data Analysis
How do you rate? Young scholars use graphical data to analyze ratings of different television episodes. Their analyses include best-fit lines, mean, median, mode, and range.
101 Questions
Deodorant
Smells like learning! Young scholars collect data on the length of time a stick of deodorant lasts. After modeling the data with a graph and function, they make predictions about deodorant use over time.
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Kenan Fellows
Let's Move
Find a statistical reason for a fresh start. Using a hypothetical scenario, individuals research statistical data of three different cities. Their goal? Find the best statistical reason for a business to move to a new location. Their...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Virginia Department of Education
Numbers in a Name
What's in a name? Pupils create a data set from the number of letters in the names of classmates. Each group then takes the data and creates a visual representation, such as a histogram, circle graph, stem-and-leaf plot, etc.
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
5280 Math
Capture the Points
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...