Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
National Security Agency
Line Plots: Frogs in Flight
Have a hopping good time teaching your class how to collect and graph data with this fun activity-based lesson series. Using the provided data taken from a frog jumping contest, children first work together...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson plan reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Beyond Benign
Municipal Waste Generation
Statistically, waste may become a problem in the future if people do not take action. Using their knowledge of statistics and data representation, pupils take a look at the idea of waste generation. The four-part unit has class members...
Willow Tree
Line Plots
You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the...
NASA
Analyzing Surface Air Temperatures by Latitude: Student Activity
Explore global temperatures from the comfort of your learning place! Meteorologists analyze surface temperatures and anomalies across different latitudes. Investigators evaluate graphs to find temperature differences and answer questions...
US Department of Commerce
Immigration Nation
People come and people go. Given tabular census data on the annual number of immigrants from four different regions of the world between 2000 and 2010, pupils create double bar graphs and line graphs from the data. They analyze their...
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.
CPO Science
Physics Skill and Practice Worksheets
Stop wasting energy searching for physics resources, this comprehensive collection of worksheets has you covered. Starting with introductions to the scientific method, dimensional analysis, and graphing data, these skills practice...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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...
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...
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...
National Council of Teachers of Mathematics
Geogebra: Residuals and Linear Regression
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...
EngageNY
Increasing and Decreasing Functions 2
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
Kenan Fellows
Density
Most scholars associate density with floating, but how do scientists determine the exact density of an unknown liquid? The third lesson in a seven-part series challenges scholars to find the mass and volume of two unknown liquids. Each...
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...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Teach Engineering
Applications of Linear Functions
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the instructional activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in...
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.