EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
BW Walch
Creating and Graphing Linear Equations in Two Variables
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is taken to discuss...
Ohio Literacy Resource Center
Solving Systems of Linear Equations Graphing
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet, and an...
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...
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
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...
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...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
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.
Radford University
Picturing Lines
Slopes are everywhere—even in houses! Given a picture of a house, learners find lines with positive, negative, zero, and no slopes. Scholars determine the equation of the lines by calculating the slopes and y-intercepts. Class members...
Radford University
Finding a Location for Your Kitchen Island
Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
Curated OER
Topic 2.3 - Slope
In this slope intercept worksheet, students solve 15 problems in which they find the slope of a linear equation, the slope of a graph, the slope using 2 points, and the equation of a line parallel or perpendicular to a given line.
Curated OER
Find the Equation of a Line
For 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...
Curated OER
Other Equations of Lines
In this algebra worksheet, students 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
Seven Advanced Algebra Problem Sets
In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
West Contra Costa Unified School District
Slope-Intercept Sort
What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.