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CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
Curated OER
Slope of a Line
In this interactive worksheet, 8th graders review how to calculate the slope of a line, then solve 10 problems, given 2 points. Students may click for further information, on finding a slop of a line.
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
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 Using Slope-Intercept Form: Zip-Line
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
PHET
Graphing Slope-Intercept
Slope-intercept form ... perhaps it has something to do with slope and intercepts? An easy-to-use interactive lets users adjust the locations of two points on a line. The interactive automatically updates the slope-intercept form of the...
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...
Curated OER
Slope and Intercept of a Line
In this online math learning exercise, students determine the slop and the intercept of a line by solving a variety of equations. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
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
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
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...
American Museum of Natural History
A Walk Through the Ruins of Petra
Walking through the ancient Nabataean city of Petra can be a challenge. A tour begins with a 20-minute walk down a rocky slope through the narrow Siq to get to the famous Treasury known to Indiana Jones fans. But that is...
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...
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...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
CK-12 Foundation
Forms of Linear Equations: Equation Exploration
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
CK-12 Foundation
Slope: A-Frame House
This resource on learning about slopes from A-frames is A-okay. A simple interactive has learners adjust the height and width of an A-frame house, and then calculate the slope of the roof for each situation.
CK-12 Foundation
Families of Lines: Room in Perspective
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...
Curated OER
Exploring Slope
For this exploring slope worksheet, students solve and complete 4 different problems. First, they compare an object's weight on Earth to an object's weight on another planet using the information given. Then, students compare this...
CK-12 Foundation
Slope-Intercept Form of Linear Equations: Cable Car Tracks
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
Shodor Education Foundation
Derivate
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
CK-12 Foundation
Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
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