This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...

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...

Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...

Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.

Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...

What is the mystery picture? After plotting points on the first quadrant of a Cartesian coordinate system, young mathematicians connect the points to create a Halloween-themed picture.

For this slope intercept worksheet, students solve 15 problems in which they find the slope of a linear equation, the slope of a graph, the slope using 2 points, and the equation of a line parallel or perpendicular to a given line.

In this linear equations worksheet, students solve 3 multiple choice problems. Students determine if a given point lies on a line given an equation of that line.

Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...

In this systems of equations worksheet, learners solve systems of equations, systems of inequalities, and linear equations.  They read word problems and write a system of equations that depicts the problem.  this two-page...

In this linear equations worksheet, 6th graders complete 4 problems, sketching the graphs of lines of equations. A reference web site is given for additional activities.

In this algebra worksheet, learners solve equations for y, graph the equations using the slope and y-intercept, and name four points on the line. There are 20 questions with their graphs.

In this algebra worksheet, students solve three linear equations to by substitution to determine if the given point is a solution. Students graph and determine the slope and y-intercept of 5 linear equations.

In this algebra worksheet, 9th graders are given a linear equation and asked to graph the lines. There are 12 questions with an answer key.

Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...

That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.

Starbucks or house blend? Pupils analyze the unit rate as the cost per pound of coffee. They use a graph to visualize the unit rate given the cost for a quantity other than one pound.

Build upon linear functions to learn about quadratics. The lesson plan introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...

In this graphs worksheet, 10th graders identify and solve 10 different problems that include reading various graphs of lines. They determine the equation for each graph whether it is dealing with tangent, cotangent, secant or cosecant.

For this graphing worksheet, students solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page worksheet contains ten...

In this algebra worksheet, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.

Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...