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...
PHET
Graphing Lines
Ready to increase pupils' understanding of slope with an upward slope? Scholars use an interactive that allows users to move two points on a coordinate plane. The interactive then automatically calculates the slope, the slope-intercept...
Charleston School District
Graphs of Linear Functions
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs.
Virginia Department of Education
Algebra Tiles and Solving Equations
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
Curated OER
Graphing Lines in Slope-Intercept Form
Put it in slope-intercept form! Learners solve linear equations and sketch a graph of the equation on a coordinate plane. This learning exercise contains 12 problems and an answer key.
EduGAINs
Solving Linear Equations
To find x, you have to get it by itself, correct? Individuals solve a linear word problem and share their solutions with others that solved the problem in a similar fashion. They then complete a self-assessment on how they feel about...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Ordered Pairs and Linear Systems
In this ordered pair and linear systems worksheet, pupils problem solve two equations involving ordered pairs and solving linear systems by graphing.
Math Mammoth
Explore Graphs of Linear Equations
In this linear equation worksheet, learners graph linear equations and identify the intersection of the y-axis. There are twelve problems provided on this one-page worksheet. Coordinate planes are printed on the worksheet for the...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Curated OER
Graphing Linear Equations on the TI-73
Eighth graders work in pairs with a TI-73 graphing calculator to complete a multiple-choice review using the Classroom Performance System. Each team uses a remote unit to "click in" the answers. When all teams have completed the review,...
Curated OER
Linear Equations
Eighth and ninth graders solve and graph 42 different problems that include writing various equations and graphing them on a grid. First, they create a table for each equation and graph it on a grid locating the x-and y-intercepts. Then,...
Illustrative Mathematics
Comparing Speeds in Graphs and Equations
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question.
Mathematics Vision Project
Equations and Inequalities
Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...
Willow Tree
Equations of a Line
Each form of a linear equation has its purpose — pupils just have to find it. Building on the previous instructional activity in the series, learners examine point-slope and standard form. Using point-slope form, pupils write the...
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.
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
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...
Curated OER
Graphing and Interpreting Linear Equations in Two Variables
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
Curated OER
Graphing Linear Equations
Use this graphing worksheet to have learners evaluate and graph linear equations. A coordinate plane, for graphing, is provided below each equation. This one-page worksheet contains seven problems.
Curated OER
Graphing Linear Equations Cards
OK, so maybe graphing linear equations can be fun. This activity includes a set of linear equation cards to be cut and place face up on a table. Learners pick a card and match it to the correct graph card. This is a really fun way to...
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Regional Professional Development
Solving Systems of Equations by Graphing
With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.