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Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
Curated OER
Graphing Lines in Slope-Intercept Form
Put it in slope-intercept form! Learners solve linear equations and sketch a graph of the equation on a coordinate plane. This learning exercise contains 12 problems and an answer key.
Flipped Math
Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
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...
Curated OER
The Slope of a Line
In this slope worksheet, students examine graph and determine the slope of a line. They determine coordinates of a point to make a true statement. Students identify the dependent variable and the independent...
Curated OER
Slope and Intercept
In this slope and intercept instructional activity, 10th graders solve 10 different problems that include the graphs of various forms of linear equations. First, they determine the slope of a line given the equation. Then, students...
Curated OER
Other Equations of Lines
In this algebra worksheet, learners find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
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...
College Board
AP Calculus: Slope Fields
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
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.
Math eBook
Slope of a Straight Line
In this lope of a straight line learning exercise, students compute the slope of a line when given two points. This four-page learning exercise contains 16 multi-step problems.
Curated OER
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given...
Curated OER
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Curated OER
Finding The Slopes of Lines
In this math activity, students practice finding the slope of a line. They read the samples created by the computer to see examples of how slope is calculated.
Curated OER
Volcano Contour Models Activity
Students experiment with water levels and plastic topographic volcano models to determine the contour lines that would be used to create a topograpohic map of a volcano. They use the traced lines to actually develop the map.
Flipped Math
Calculus AB/BC - Average and Instantaneous Rate of Change
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
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...
Curated OER
Slope of Line
For this algebra worksheet, young scholars calculate the slope of a line. They graph a linear equation given the slope and y-intercept and identify the slope and y-intercept given a linear graph. There are 15 questions.
Del Mar College
All About Lines
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
Flipped Math
Calculus AB/BC - Estimating Derivatives of a Function at a Point
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
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