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Curated OER
An Exploration of the Slope of a Line
Students 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.
Curated OER
Write the Equation of a Line Given Two Points
Ninth graders write the equation of a line using two points. They are given a set of coordinate pairs and asked to write the equations of line using the slope and a point. Next, they use the formula y2-y1 divided by x2-21 to find the slope.
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
Finding Slope of a Line
Students calculate the slope of a line. In this algebra lesson plan, students graph a line using the slope and y-intercepts. They define the steepness of the line using the slope.
Curated OER
Slope of a Line
Students identify the slope of a line. In this algebra lesson, students discover the process of how to find the slope of a line and classify the slope as positive, negative, zero or undefined. They find the slope of a line given two...
Everyday Mathematics
Mathematics Within: Slope and Triangles
Learners discover a method for determining the slope of a line by creating and comparing similar triangles. They fold coordinate grids to make three similar triangles then measure the sides to compare the relationships between the...
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
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...
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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...
Curated OER
Lines, Lines, Everywhere
Students explore linear equation suing real life scenarios. In this algebra lesson, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
Curated OER
The Slope of a Curve
Pupils graph the slopes of a line using the intercepts. In this precalculus lesson, students identify the properties of a curve slope. They find the limit and use a graping calculator to graph their lines.
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
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. In this algebra worksheet, learners identify the slope and y-intercept of the given equations. They graph...
Curated OER
Slope
Learners calculate the slope of a line. In this slope lesson plan, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.
Curated OER
Write the Equation of a Line Given the Slope and a Point
Students write the equation of a line given the slope and y-intercept. For this algebra lesson, students are given a point a the line and the slope of the line and are asked to write an equation of the line. They relate lines to real...
Curated OER
Is the Slope Legal?
Students define parallel and perpendicular lines. In this algebra lesson, students relate the concept of parallel and perpendicular lines to the real world. They classify the lines based on their slopes.
Curated OER
How Long Can You Go?
Eighth graders examine the usefulness of a line of best fit by collecting and graphing data, using a graphing calculator to determine the line of best fit, and making a variety of predictions. They watch a video, then design a...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...
Curated OER
Slopes and Linear Equations
Students find the slopes of linear functions. For 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
Points on a Line
How do you find slope? You use points on a line of course. slope. Teach your class how to calculate and differentiate between horizontal and vertical lines. They are sure to be pros at graphing lines on a coordinate plane by the end of...
EngageNY
Applying Tangents
What does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...
Curated OER
Monster Cars: Slope
Students examine how a rate is calculated from two points. Using battery operated cars, pairs of students measure time and distance. Afterward, they use this data to calculate the rate. Students then plot four ordered pairs and discover...