Curated OER
System of Linear Equations
In this math worksheet, students solve for the systems of linear equations. They graph the equations and use the method of substitution.
Curated OER
Differentiability and Linear Approximation
In this differentiability activity, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page activity contains a discussion...
Curated OER
Standard Form of a Linear Equation
In this Algebra I/Algebra II learning exercise, students examine the equation of a line in standard form to determine the slope and y-intercept and determine the missing coordinate of an ordered pair. The one page learning exercise...
Curated OER
Making Predictions from Data with a Graphing Calculator
In this making predictions from data worksheet, students solve 15 short answer problems. Students determine average miles per gallon given data on miles traveled and gas used. Students make predictions using the data and a line of best fit.
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...
Virginia Department of Education
Transformationally Speaking
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
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 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
Graphing Linear Inequalities
In this algebra worksheet, students graph inequality linear graphs and shade using a test point. There are 14 problems with an answer key.
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...
Shodor Education Foundation
Graphing and the Coordinate Plane
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Curated OER
Determining the Point of Intersection Using the TI-83 Plus Calculator
Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.
Curated OER
Who Shares My Function? Linear with All Representations
Students investigate and interpret functions and graphs. In this algebra lesson, students analyze equations, graphs and word problems to differentiate between quadratic functions and linear equations. They create a poster...
Curated OER
Introducing y = mx + b
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a table of...
Curated OER
Wind-Up Car
Learners produce an equation from a graph, based on an engineering-context story provided. In this production of equations lesson, students write an equation given the graph and description. Learners also describe what the y-intercept...
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,...
Curated OER
Linear and Exponential Models
Linear or exponential, see if your class can tell the difference. This very basic worksheet looks at different representations including tables of values, graphing, and an equation to assess understanding. This would make a good warm-up...
Curated OER
Slope Intercept Form
In this slope intercept form worksheet, students solve and graph 6 different problems that include identifying the slope and intercepts in each graph. First, they determine the line that has a given x-and y-intercept. Then, students find...
Curated OER
Mathematical Techniques - Basic Graphing
Students are introduced to significant figures and how to add, subtract, multiply and divide them. In a group, they practice plotting data points from a table to a graph and labeling all axes. They calculate the slope and y-intercept and...
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
CK-12 Foundation
Arithmetic Sequences: Paying of a Loan
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
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