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...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
Curated OER
Slope and Equations of Lines
In this equation worksheet, 10th graders identify the slope-intercept equation for a line with a given point. Twenty equations are provided on this two-page worksheet.
Curated OER
Other Equations of Lines
In this algebra worksheet, young scholars find equations for 4 lines when given their slope and one point on the line. They write two linear equations when given two points on a line. Students analyze the equations of 3 sets of linear...
Virginia Department of Education
Slope-2-Slope
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
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.
Curated OER
Writing Linear Equations Given Two Points
In this linear equation worksheet, young scholars write the equation of a line passing through two given points. This one-page worksheet contains 12 problems, with answers.
Curated OER
Math Mediator Lesson 10: Slope
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 height of high...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
Curated OER
Slope and Equations of Lines: Extra Practice 29
In this math worksheet, young scholars write the slope intercept form of lines. In the first ten problems, students are given a point on the line and the slope. On the second ten problems young scholars find the equation when given two...
Curated OER
Slope and Equations of Lines
In this slope worksheet, students find the equation of a line given a pair of points or a given slope. Examples are provided at the beginning of this worksheet. There are 20 problems on this two-page worksheet.
Curated OER
Slope
Students 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
The Slope of a Line
Students define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.
Curated OER
Am I Straight
Identify the slope of a linear equation in this algebra lesson. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.
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...
Willow Tree
Graphing
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...
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
Slope-Intercept Form of a Line
Students determine how the slope affects the graph of a line. They relate "b" to the "y"-intercept of a line and solve the equation of a line given "m" and "b." They are given scenarios and possible answers to which they explain why or...
Curated OER
Systems of Linear Equations - Standard Form
Young scholars write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard...
Curated OER
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Curated OER
Graphing Linear Equations
Ninth graders review the information that they have already learned
with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...
Curated OER
Linear Relationships - Standard Form
Students use a graphing calculator to examine the association between the data points and equation of a linear relationship. They write equations in standard form and then graph the equations using the slop-intercept form. Answer Key...