Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Curated OER
Solving Systems by Graphing
Students solve systems of equation through graphing. In this algebra lesson plan, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their...
Curated OER
How Many Solutions to the System?
Solve systems of equation using graphing! In this algebra lesson, learners use the TI to graph two lines and identify the number of solutions. They perform interactive graphing on the navigator.
Curated OER
Systems of Linear Inequalities
The class solves systems of linear inequalities. They graph lines and identify the point of intersection.They graph lines and identify the boundary that represent the solution and solution set.
Curated OER
Solving Systems of Linear Equations Graphically
Students solve systems of equations graphically. In this algebra lesson, students find the point of intersection of two lines if they are not parallel. They rewrite the equation in the y=mx + b form and graph using slope and intercept.
Curated OER
Topic 2: Graphing 2-Variable Linear Equations
Young scholars explore the concept of 2-variable equations and expressions. In this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.
Curated OER
Linear Inequalities in Two Variables
Use this activity 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...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Curated OER
Functions and the Vertical Line Test
Young scholars examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Curated OER
Matrices In Encryption And Decryption Of Codes
Students relate Cryptography to the solving of simultaneous linear equations in matrix notation. They explore various methods of encrypting and decrypting codes. Pupils discuss and solve simultaneous linear equations.
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors instructional activity, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page...
Curated OER
Solving a System of Linear and Quadratic Equations
In this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Systems in Multiple Representations
Ninth graders solve systems of equations. In this algebra lesson, 9th graders solve systems of equations by substitution and linear combination. They represent systems using a table, graph and equations.
Curated OER
Graphing To Solve Systems of Equations
Young scholars explore graping linear equations and their relevance to real life situations. After a teacher led demonstration, students work at their desks and on the board to plot points and determine the slope of a line. Young...
Alabama Learning Exchange
Systems on a Mission
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.
Curated OER
Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
Curated OER
Seven Advanced Algebra Problem Sets
In this advanced algebra learning exercise, learners solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.