University of Wisconsin
Measuring Slope for Rain Gardens
The slope of the land is an important feature when considering the erosion that will occur. In this resource, which is part of a rain garden unit, learners calculate the slope of the proposed garden site. Even if you are not planning a...
Willow Tree
Slope
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs and...
Curated OER
Point-Slope Form of a Line
This activity helps young mathematicians connect the graph and the point-slope form of a line, by first solving a real-world problem and then using that example to motivate the understanding of the equation. By manipulating the gizmo,...
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...
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...
Blogger
Slope Intercept Form (y=mx+b) Foldable
Each piece of the y=mx+b formula represents something important about graphing. Take those important ideas and connect them to each part of the formula with notes or examples underneath each tab representing y, m, x, and b.
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...
EngageNY
The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m
Investigate the relationship between the slope-intercept form and the slope of the graph. The lesson plan leads an investigation of the slope-intercept equation of a line and its slope. Pupils realize the slope is the same as the...
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...
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...
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,...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
CK-12 Foundation
Slope: Hiking in the Woods
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
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
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.
Raytheon
Graphing: Slope
For this slope worksheet, students complete problems having to do with slope including adding integers, graphing, finding ordered pairs, and more. Students complete 55 problems.
Curated OER
Distance Formula
Students watch teacher demonstration of distance formula, view non-collinear cities on maps, plot points on coordinate plane, evaluate square roots, compute distance between two points, and use Heron's formula to find area of triangles.
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 equation...
Curated OER
Slope and Equations of Lines: Extra Practice 29
In this math worksheet, young scholars write the slope intercept form of lines. In the first ten problems, students are given a point on the line and the slope. On the second ten problems young scholars find the equation when given two...
Virginia Department of Education
Slippery Slope
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.
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