US Department of Commerce
Featured Activity: Population Change Over Time
Keep track of a state's population. After a brief discussion on how population data is used for funding, individuals look at population changes over time. Pupils find the population of two states using three different censuses. They then...
Radford University
Can I Create a Line/Curve of Best Fit to Model Water Drainage?
Learners collect data on the amount of water left in a bottle over time. They graph the data to determine whether the scatter plot shows a curved or straight relationship. Group members then determine an equation for the curve of best...
Curated OER
Race, Education, and Income: Comparing Carter & Reagan
High school learners compare economic outcomes for 3 racial groups under the presidencies of Jimmy Carter and Ronald Reagan by analyzing a series of graphs, answering questions from a worksheet, and participating in a discussion.
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs and...
University of California
Seasons Lab Book
Unlock the mystery behind seasonal change with a collection of worksheets and activities. Whether they are drawing pictures of Earth's orbit around the sun or graphing the temperature and daylight hours of different locations from around...
Radford University
How to Calculate and Analyze the Equation for a Parabolic Path
Working in groups, pupils plot three points on the coordinate plane representing three different parabolic paths. Using a calculator, they determine the quadratic regression equation for their models. Each team then figures out the...
Alabama Learning Exchange
Human Slope
Middle and high schoolers explore the concept of slope. In this slope lesson, learners graph lines using a life-size graph. They use chalk on a blacktop to create a coordinate plane and use each other as the tick marks on the grid....
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
West Contra Costa Unified School District
Shifting Linear Equations in Function Notation
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Curated OER
Run, Gingerbread Men, Run!—Game
Run, gingerbread men! During the board game, four gingerbread men race to discover which one finishes first. Scholars take note of the game's results using a tally chart and bar graph for all to observe the frequency of the winning...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Statistics Education Web
Text Messaging is Time Consuming! What Gives?
The more you text, the less you study. Have classes test this hypothesis or another question related to text messages. Using real data, learners use technology to create a scatter plot and calculate a regression line. They create a dot...
August House
Why Koala Has a Stumpy Tail
Learn about the animals of Australia with a language arts lesson about an Australian folktale called, Why Koala Has a Stumpy Tail. After reading the story as a class, kids discuss events and characters from the book, retell the story to...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
Houghton Mifflin Harcourt
Nature Walk: English Language Development Lessons (Theme 2)
Walking in nature is the theme of a unit designed to support English language development lessons. Scholars look, write, speak, and move to explore topics such as camping, woodland animals, instruments, bodies of water, things found at a...
EngageNY
Piecewise Functions
Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two pieces...
Code.org
Sending Numbers
Binary graphing ... bit by bit. Pairs work together to develop a protocol in order to send the points of a graph. One partner sends the points and the other receives them and tries to recreate the graph. The pupils use the rubric to...
EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
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