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...
Curated OER
Writing Linear Equations in Different Forms
This learning exercise is jam-packed with linear equations! Learners write equations in slope-intercept form and standard form. Horizontal and vertical lines are included, as well as graphs for several of the problems. A great way...
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...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Curated OER
Compound Inequalities and Graphing
Put geometry skills to the test! Learners solve compound inequalities and then graph the inequalities on a coordinate plane using their geometric skills. They identify the slope and y-intercept in order to graph correctly. I like this...
Illustrative Mathematics
Telling a Story With Graphs
Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...
Curated OER
Graph Your Motion
Students graph their linear equations. In this algebra lesson, students examine their lines and relate it to the slope or rate of change. They relate the steepness of the line to the slope being positive, negative or zero.
Curated OER
Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs
Students, while in the computer lab, assess how to use Microsoft Excel as a "graphing calculator." They view visual representations of line graphs in a Cartesian plane while incorporating basic skills for using Excel productively.
Curated OER
Standard Linear Form
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Curated OER
Algebra I - Test
Students participate in a lesson that reviews the concept of linear functions in connection with preparation for an exam. The teacher reviews problems with the students for scaffolding. Students practice graphing linear functions.
Curated OER
Graphing and the Coordinate Plane
Students gain practice reading coordinates and plotting points by participating in the Coordinates! Game. They demonstrate and test their skills with graph paper and the Maze Game.
Curated OER
Linear Equations
For this Algebra I/Algebra II worksheet, students determine the equation of a line given the slope and the coordinates of one point on the line. The one page worksheet contains ten free response questions. Answers are...
Curated OER
Linear Equations
In this algebra worksheet, learners solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Curated OER
The Phone Bill Problem
Students write an equation for a linear function. In this algebra activity, students collect data, plot it and graph it. They identify the equation of the graphed data and define the slope and y-intercept of the graph.
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
Curated OER
Solving Systems Using Substitution
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
Chapman University
Derivative of sin x
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x). The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how...
Curated OER
Linear Equations
Pre-algebra pupils examine the rate of change and how we can interpret it as a linear function. They are introduced to slope-intercept equations and graphs. Plenty of instruction is provided along with example problems. Note that even...
Curated OER
Using Parallel Axes To Discover Mathematical Interconnections
In this math worksheet, students graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
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...
Curated OER
Solving Linear Systems by Graphing
A worksheet 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...
Curated OER
Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...