EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Shodor Education Foundation
Multiple Linear Regression
You'll have no regrets when you use the perfect lesson to teach regression! An interactive resource has individuals manipulate the slope and y-intercept of a line to match a set of data. Learners practice data sets with both positive and...
Math-U-See
Extra Practice
From exponents to slope-intercept form, an array of extra practice exercises will reinforce necessary skills for your middle and high schoolers. The worksheets include practice with order of operations, graphing equations, scientific...
CK-12 Foundation
Equations of Parallel Lines: Exploring Equations
Same slope, different point — what's the same and what's different about an equation? Young mathematicians use an interactive to position a line parallel to a given line and through a given point. They observe that the equation will have...
Radford University
Ramp It Up
Pupils gather measurements of real-world objects that have slopes. They then plot the measurements and find an equation of a line that fits the measurements. Finally, groups investigate the ADA and determine whether different ramps meet...
Radford University
Linear Equations in Real Word Problems
Make up a story about a linear graph. Scholars identify key features of a linear graph, such as intercepts, domain and range, and slope. They then create a word problem that could be represented by the graphed line.
Flipped Math
Calculus AB/BC - Unit 7 Review: Differential Equations
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
Houghton Mifflin Harcourt
Unit 4 Math Vocabulary Cards (Grade 6)
Reinforce math vocabulary with a set of flash cards. Forty-eight cards offer boldly printed words, and their corresponding definition alongside an example with labels. Terms include absolute value, inverse operations, slope, and more!
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.
101 Questions
Sacre Coeur Funicular
Rise to the challenge of trigonometry. Watching a video of an ascending funicular at the Sacre Coeur in Paris sets the stage for a challenging task. Young mathematicians use a given diagram, along with the concepts of slope and...
Concord Consortium
Sine Solution
How many times can eager mathematicians catch the waves? Pupils find the solutions of three different trigonometric equations. They then determine the effect of the slope of a line that intersects a trigonometric function and the number...
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
CK-12 Foundation
Determining the Equation of a Line: Trip Functions
Let the function drive the activity. The interactive displays the odometer on a car for a trip. Pupils determine and interpret the slope of the situation. Then, they find a verbal description of the equation of the function.
CK-12 Foundation
Graphs of Linear Functions: Line Designs
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
CK-12 Foundation
Equations of Perpendicular Lines
Investigate how the equation y = -1/x relates to perpendicular lines. Pupils align an arrow using an interactive so it is perpendicular to a bow string. A set of challenge questions helps learners discover slopes of perpendicular...
CK-12 Foundation
Graphs in the Coordinate Plane: Functions on a Cartesian Plane
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Purdue University
Design of a Canal for a New Water Park in Lafayette
Erosion is no match for our canals. Learners first perform experiments to test the amount of erosion for different materials and different slopes. Based on the results, they design ditches or canals that carry water from one location to...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
Radford University
Google Earth Trip
Travel the world instantly—and learn about math along the way. Using pictures of famous places taken from Google Earth, scholars look for parallel and perpendicular lines based on slope and angle measurements. They also calculate...
Radford University
Parallel Lines Task
Transform the classroom into a coordinate plane. Scholars walk along parallel lines drawn on a coordinate plane on the classroom floor. They measure angles and slopes and use the results to develop criteria that would make the lines...
Radford University
Parallelogram Task
These floors were made for learning. Pupils use coordinate planes drawn on the classroom floor using tape to investigate parallelograms. They measure lengths, angles, and slopes to identify properties of parallelograms.
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