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...
Curated OER
Y-Intercept and Slope Intercept Form
Alegebra amateurs identify the slope and the y-intercept given a linear equation in slope-intercept form by correctly completing some in class problems. They write the linear equation in slope-intercept form that corresponds to the given...
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...
Curated OER
Analyzing Equations Through Slope and Y-int
With problems applying to modern-day topics like Netflix and McDonald's, math whizzes analyze graphs and investigate the slopes. For this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
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 Slope of a Non-Vertical Line
This activity 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...
Curated OER
Writing Equations of Lines Using The Point-Slope Form
In this writing equations worksheet, students find the equation of a line containing specified points. They determine the slope of a line from given points. This two-page worksheet contains 20 problems. Examples and explanations are...
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
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-Intercept Form of a Line
Using the subscriber website Explorelearning.com, young mathematicians observe changes in the slope and y-intercept and their effect on the graph of lines. This activity helps young scholars develop an intuitive sense of the connection...
Curated OER
Exploring Slope
In this exploring slope learning exercise, 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...
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...
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...
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...
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...
Curated OER
Write the equation of a line, given slope and a point
Young mathematicians write equations of lines in this algebra lesson. They solve linear equations into the slope intercept form. Next, they graph the lines using the slope and the y-intercept, and they write equations for the lines using...
Curated OER
Slope
In this slope learning exercise, 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...
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...
Curated OER
Slope and Intercept
In 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
Linear Functions: Slope, Graphs, and Models
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
Curated OER
Writing Linear Equations Using a Given Point and Slope
In this linear equation worksheet, students write the linear equation of a line that passes through a given point. This one-page worksheet contains 15 problems, with answers.
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...
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
Finding the Slope of a Line Through Two Given Points
In this slope of a line worksheet, students use the slope formula to determine the slope of a line passing through a given point. This one-page worksheet contains ten problems, with answers.