Lesson Plan
EngageNY

Every Line is a Graph of a Linear Equation

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

The Slope of a Non-Vertical Line

For Teachers 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Lesson Plan
EngageNY

The Line Joining Two Distinct Points of the Graph y=mx+b Has Slope m

For Teachers 8th Standards
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...
Lesson Plan
Curated OER

An Exploration of the Slope of a Line

For Teachers 9th - 11th
Students define the slope of a line. For 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.
Lesson Plan
EngageNY

Two Graphing Stories

For Teachers 9th - 10th Standards
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Lesson Plan
Curated OER

Finding Slope of a Line

For Teachers 9th - 10th
Students 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.
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lesson Plan
Curated OER

Graphing Functions With 2 Points and From a Graph

For Teachers 9th - 11th
Students plot points on a coordinate plane. They describe, in words, methods for finding the slope of a line. After given a worksheet, students read instructions, draw a Cartesian plane, plot ordered pairs, and graph lines. Papers are...
Lesson Plan
Curated OER

Slope, Intercepts, and Graphing a Line

For Teachers 8th - 11th
In this intercepts and slope worksheet, students find the slope and/or the x and y-intercepts in fifty-three problems.  Students also graph lines using the x and y-intercepts.
Lesson Plan
Curated OER

Building Understanding of Rate of Change/Slopes Using Alice

For Teachers 8th - 10th
Students explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Students...
Lesson Plan
Mathalicious

Domino Effect

For Teachers 8th - 9th Standards
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
Lesson Plan
Willow Tree

Graphing

For Students 8th - 11th Standards
So many methods and so little time! The efficient method of graphing a linear equation depends on what information the problem gives. Pupils learn three different methods of graphing linear equations. They graph equations using...
Lesson Plan
Curated OER

Algebra 1: Slope as Rate

For Teachers 7th - 9th
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.
Lesson Plan
Kenan Fellows

Using Motion Sensors to Explore Graph Sketching

For Teachers 11th - Higher Ed
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
Lesson Plan
K20 LEARN

Airplanes and Airstrips, Part 2

For Teachers 9th Standards
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...
Lesson Plan
Curated OER

Math Mediator Lesson 10: Slope

For Teachers 8th - 9th
Students explore the concept of slope.  In this Algebra I lesson, students investigate the definition of slope as rise over run or change in y compared to change in x.  The lesson includes a real-world problem in which the...
Lesson Plan
Curated OER

Y-Intercept and Slope Intercept Form

For Teachers 8th - 9th
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...
Lesson Plan
Curated OER

A Day at the Beach

For Teachers 6th - 8th
Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...
Lesson Plan
Curated OER

Point-Slope Form of a Line

For Teachers 8th - 9th
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,...
Lesson Plan
Curated OER

Graphing Equivalent Fractions

For Teachers 9th - 11th
Students graph families of equivalent fractions and compare them by observing the slope of the line formed by each fraction family. They place fractions in ascending order by comparing the slopes of each line after several families of...
Lesson Plan
EngageNY

Graphs of Linear Functions and Rate of Change

For Teachers 8th Standards
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Lesson Plan
Kenan Fellows

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...