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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 students develop an intuitive sense of the connection between...
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...
Curated OER
Finding Slope of a Line
Young scholars calculate the slope of a line. In this algebra lesson, students graph a line using the slope and y-intercepts. They define the steepness of the line using the slope.
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
Students 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...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Slope
Young scholars calculate the slope of a line. In this slope lesson, 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
Forces and Graphing
Students analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on instructional activity 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...
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
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...
American Statistical Association
Scatter It! (Using Census Results to Help Predict Melissa’s Height)
Pupils use the provided census data to guess the future height of a child. They organize and plot the data, solve for the line of best fit, and determine the likely height and range for a specific age.
Curated OER
Slopes and Linear Equations
Students find the slopes of linear functions. In 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
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
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...
Curated OER
A Sweet Drink
Students investigate reaction rates. In this seventh or eighth grade mathematics lesson, students collect, record, and analyze data regarding how the temperature of water affects the dissolving time of a sugar cube. Studetns...