Curated OER
An Exploration of the Slope of a Line
Learners define the slope of a line. In this algebra lesson, students differentiate between parallel and perpendicular lines using their slopes. They rewrite equations in slope intercept form and explain the meaning of the slope.
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Charleston School District
The Sum of Angles in a Triangle
An informative lesson contains a brief explanation of how the sum of the angles of a triangle is a line. The lesson continues with determining the missing angle in a triangle, or solving for a variable. Using the sum of the...
Curated OER
Quiz 8: Equation of a Line
In this equation of a line worksheet, students find the equation of a line perpendicular to a graph and determine the surface area of a cube that is changing. This one-page worksheet contains three problems.
Curated OER
Find the Equation of a Line
In this equation of a line worksheet, 10th graders solve ten problems that determine locating the equation of a line. They first determine whether the given lines are perpendicular or parallel. Then students find the equation of the line...
K20 LEARN
Airplanes and Airstrips, Part 2
Table the decision to land. Pupils form flight crews by matching up different representations of linear equations. Given a set of coordinates for an airstrip, the crews determine the equation of the line that will position their planes...
Curated OER
Graphs & Equations of Lines
In this graphs and equations of lines activity, 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, students...
Curated OER
Equation of a Line
In this equation of a line worksheet, 9th graders solve 10 different problems that include the equation of a line. First, they determine the equation of a line that has a given slope and passes through a given point on a graph. Then,...
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...
Corbett Maths
Shortest Distance between Line and Point
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
Yummy Math
Parametric Equations and a Heart
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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,...
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...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Curated OER
Equation of a Straight Line Worksheet
In this equation of a straight line instructional activity, learners find the equation of 4 lines in slope intercept form. Students produce the linear equation of a line given its' graph.
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Radford University
Triangular Irrigation
Try to keep the pipe short. Learners investigate where to place a water pump to use the least amount of pipe. Scholars use their knowledge of reflections and congruent triangles to find the best location for the water pump. Finally, they...
Curated OER
Write an Equation of a Line Given Slope and a Point
Ninth graders are investigating slope of a line. The line is plotted using the slope and points on a line. They also write an equation given the right information. The use of a PowerPoint is part of the presentation.
Curated OER
Find Equation of Straight Line
For this algebra worksheet, 9th graders are given the slope and y-intercept and asked to find the equation of a line. There are 7 questions with an answer key.
Curated OER
Finding Slope From Two Points
In this finding a slope activity, learners find the slope of a line from given points. This two-page activity contains 16 problems. Answers are provided on the last page of the activity.