Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Curated OER
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II worksheet, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the given line. The two...
Curated OER
Parallel and Perpendicular Lines
In this algebra/geometry activity, students investigate the slopes and equations of parallel and perpendicular lines. The two page activity contains a combination of eleven multiple choice and free response questions. Solutions are...
Curated OER
Parallel Lines and Properties of Slope
Students define functions to be graphed using the Y=key. They demonstrate how to set up a standard viewing screen using Zoom 6. They discuss and explore mathematical questions on a worksheet.
Curated OER
Lines in the Plane
Students differentiate between parallel and perpendicular lines. In this algebra instructional activity, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
Curated OER
Slopes of Lines
In this slopes of lines worksheet, 10th graders solve and graph 10 different problems. First, they determine the slope of each line named in the figure and any line parallel to line b and perpendicular to line d. Then, students graph the...
Math Mammoth
Parallel and Perpendicular Lines
In this parallel and perpendicular line instructional activity, learners find equations of a line, then determine an equation of a line that is parallel or perpendicular to the original one. They graph problems and plot points. There are...
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...
Curated OER
Angle Relationships
Tenth graders explore the angle relationships that exist when two lines intersect. For this geometry lesson, 10th graders estimate the measure of given angles and use their graphing calculator tools. Students use this knowledge to find...
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
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Curated OER
Investigating the Slopes of Parallel and Perpendicular Lines
High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....
Curated OER
Comparing Data on Graph A and Graph B
Second graders gather and graph data. In this graphing lesson, 2nd graders collect data and graph this information using tally charts, bar graphs, pictographs, or tables. They make predictions about the outcomes.
Curated OER
Using Parallel Axes To Discover Mathematical Interconnections
In this math worksheet, young scholars graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Curated OER
Graphing a Line Parallel to an Axis
In this Algebra I/Algebra II worksheet, students graph lines parallel to an axis. The one page worksheet contains one multiple choice question with the answer.
Curated OER
Exploring the Slopes of Parallel and Perpendicular Lines
Students calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
Curated OER
Parallels and Distance
In this parallels and distance worksheet, 10th graders solve 8 problems related to parallels of lines and the distance between each line. First, they draw the segment that represents the distance indicated in each figure. Then, students...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Curated OER
Do These Systems Meet Your Expectations
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Curated OER
Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
Curated OER
Solving Systems by Graphing
Learners solve systems of equation through graphing. In this algebra lesson, 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 lines...