Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
Willow Tree
Parallel and Perpendicular Lines
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
Willow Tree
Graphing
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Curated OER
Slippery Slope
Middle schoolers use a computer to complete activitites about slope. They find the slope of mountains, roofs, and stairs using rise over run. Pupils are shown different types of slopes and have to identify if the slope is positive,...
Curated OER
Slopes and Linear Equations
Students find the slopes of linear functions. In this graphing lesson, students analyze linear equations and calculate the slope of the line. They graph a line given the slope and y-intercept.
Curated OER
Slope-Intercept Form of a Line
Students determine how the slope affects the graph of a line. They relate "b" to the "y"-intercept of a line and solve the equation of a line given "m" and "b." They are given scenarios and possible answers to which they explain why or...
Curated OER
Graphs & Equations of Lines
For this graphs and equations of lines worksheet, 10th graders solve 12 different problems that include graphs and various equations of lines. First, they determine the slope of a line that passes through two sets of points. Then,...
Curated OER
Writing Linear Equations in Slope-Intercept Form
In this writing linear equations activity, students find the x- and y-intercepts of 4 equations. Students then write equations for 4 problems given the slope and y-intercepts. Additionally, students rewrite 4 standard form equations in...
Curated OER
Exploring Slope
In 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...
Curated OER
Slope Intercept Form
In this slope intercept form worksheet, students solve and graph 6 different problems that include identifying the slope and intercepts in each graph. First, they determine the line that has a given x-and y-intercept. Then, students find...
Teach Engineering
Matching the Motion
It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...
Curated OER
Graphing Equivalent Fractions
Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
West Contra Costa Unified School District
Discovering Slope of a Line in Standard Form
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the equation...
Curated OER
Contour and Cross-Section Skills
In this geography worksheet, learners identify the Wolf Creek Crater and how it was formed. They examine a contour map given of how the crater would look from above. Then, pupils use a ruler to draw lines as on the graph to the side....
Curated OER
Graphing
In this graphing instructional activity, students solve and graph 10 different problems that include determining various coordinates and the slope. First, they use the table to write the x and y coordinates for each point on the graphs....
Curated OER
Equation of a Straight Line Worksheet
In this equation of a straight line worksheet, students find the equation of 4 lines in slope intercept form. Students produce the linear equation of a line given its' graph.
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous lesson in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the equation of a...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Curated OER
Slope and Intercept
For this slope and intercept worksheet, 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 determine if the...
Curated OER
Slope
For this slope worksheet, 9th graders solve and complete 18 different problems that include identifying various points on a graph. First, they determine the slope of each line drawn on the grid to the right. Then, students determine the...