Curated OER
Masters Level B: 5.4 The Slope-Intercept Form
In this slope-intercept form, students identify the x- and y-intercept form of a line. They graph equations using the slope and y-intercept. Students write the equation of a line that contains a pair of points. This one-page learning...
Curated OER
Slope
A nicely put together basic introduction to slope. Slope is defined, and explained. The formula for calculating slope is shown and there are practice problems. There are questions about horizontal and vertical slope, as well as lines...
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 worksheet contains 12 problems and an answer key.
Curated OER
Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
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
Easy Worksheet: Equations of Lines
The class solves 4 short answer problems. They write the equation of a line parallel to a given line passing through a point. Graph paper may be needed.
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...
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...
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
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...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
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...
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...
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...
EngageNY
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
West Contra Costa Unified School District
Sneaking Up on Slope
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to determine the...
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...
Charleston School District
The Line of Best Fit
If it's warm, they will come! Learners find a line of best fit to show a relationship between temperature and beach visitors. Previous lessons in the series showed pupils how to create and find associations in scatter plots. Now, they...
Charleston School District
Parallel Lines Cut by a Transversal
Pupils study angle measurements between different types of angles associated with parallel lines and transversals. The independent practice asks pupils to identify the types of angles in a diagram and to determine the measure of angles.
Mathematics Assessment Project
Classifying Equations of Parallel and Perpendicular Lines
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...
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....
Flipped Math
Slopes of Parallel and Perpendicular Lines
Apply slopes and not slipping. Learners discover the relationship between slopes of parallel and perpendicular lines. Individuals use that information to find equations of lines through a given point that is either parallel or...
Radford University
Picturing Lines
Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...
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