Curated OER
Graphing Inequalities
Students solve inequalities and graph. In this algebra lesson plan, students rewrite inequalities in the slope intercept form and graph using the slope and intercept. They shade the correct side of the line using greater than or less...
Curated OER
Graphing Standard Form Inequality
Learners solve equations and graph it. In this algebra lesson, students solve inequalities and rewrite them in the slope intercept form. They graph the boundary lines first either as dashed or solid and shade the correct side of the line.
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
101 Questions
The Mystery Line
Take the mystery out of linear functions. Provided an image with no scale, learners guess where the line that connects them might cross the y-axis. After providing the coordinates of the points, they realize scale is an important...
Curated OER
Linear Functions: Slope, Graphs, and Models
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
Curated OER
Rise Over Run
In this rise over run learning exercise, students solve and complete 2 different problems that include determining the rise over run for a race ran. First, they use the information in the table to graph each person's performance using a...
Curated OER
Math Mediator Lesson 10: Slope
Students explore the concept of slope. In this Algebra I instructional activity, students investigate the definition of slope as rise over run or change in y compared to change in x. The instructional activity includes a real-world...
Curated OER
Graphing
In this graphing worksheet, students solve and graph 10 different problems that include determining various coordinates and the slope. First, they use the table to write the x and y coordinates for each point on the graphs. Then,...
Curated OER
Introduction to Graphing
In this graphing worksheet, students graph linear equations on a coordinate plane. Students identify the slope and y-intercept of each problem, find the midpoint of a line, and the distance between given points. Given an equation,...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
Curated OER
Slope and Parallel Lines
Students plot pairs of Cartesian coordinates on graph paper and connect points with straightedges. They examine the lines and determine if they are parallel or not by finding the equations of the lines and comparing the slopes. They...
Curated OER
Slope and Intercept
In this slope and intercept worksheet, 10th graders solve 10 different problems that include the graphs of various forms of linear equations. First, they determine the slope of a line given the equation. Then, students determine if the...
K20 LEARN
Airplanes and Airstrips, Part 2
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...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Integration: Geometry, Parallel and Perpendicular Lines
In this math worksheet, learners write linear equations in slope-intercept form that passes through the given point. On the last 8 equations, students write the equation of the perpendicular line.
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
Graphing Linear Equations and Inequalities
Pupils discuss methods to solve equations and inequalities with one variable. As a review, they write Addition and Subtraction properties of equality and Multiplication and Division properties of equality. Students graph points, write...
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
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
Slopes of Lines
In this slopes of lines instructional activity, 10th graders solve and graph 10 different problems. First, they determine the slope of each line named in the figure and any line parallel to line b and perpendicular to line d. Then,...
Curated OER
Solving Linear Systems by Graphing
A activity that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one with...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target C
Target C from the Smarter Balanced assessment for eighth grade is understanding the connections between proportional relationships, lines, and linear equations. A slide show includes items about graphing proportional relationships and...
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...