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Transformational Geometry Using the Geometer's Sketchpad
Learners complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
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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...
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Slides, Flips. Turns......It's All On A Memory Book Page
Fourth graders use tangram sets to investigate the congruence of shapes. They use congruent shapes to demonstrate the properties of slides, flips, and turns. They complete a math journal entry that describes and illustrates each concept.
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Lines, Rays, Line Segments, and Planes
High schoolers are introduced to lines, rays, line segments and planes and study the differences between them. They also practice graphing lines, rays, line segments and planes
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Solution Sets
In this solution set activity, 9th graders solve 5 different problems that include graphing on the x- and y-axis. First, they solve each inequality as needed. Then, students graph the solution set found in each on the coordinate plane...
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Ordered Pairs and Linear Systems
In this ordered pair and linear systems worksheet, learners problem solve two equations involving ordered pairs and solving linear systems by graphing.
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Worksheet 38
In this math learning exercise, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in...
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What Is Your Point?
Sixth graders identify the x and y axes in a coordinate plane and identifies the coordinates of a given point in the first quadrant. They plot specific points in the first quadrant of the Cartesian coordinate system.
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"If You Hopped Like a Frog" by David M. Schwartz
Young scholars search for and generalize an algebraic pattern. They make and analyze a coordinate graph.
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Transformations-Translations
Students perform transformations and translation on a coordinate plane. In this geometry lesson, students move shapes around on a graph identifying translation, image, and transformation. This lesson has an interactive part online that...
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Distance Formula
Pupils calculate the distance formula. In this geometry lesson plan, students find the distance between two points on a coordinate plane. They identify the four different quadrants.
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Systems of Linear Inequalities
For this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page worksheet...
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Reading Graphs
Students practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Race The Rapper: Slopes
Young scholars calculate the slope of the equation In this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope. They differentiate between functions and...
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Graphing Linear Equations Using Data Tables
Learners review the Cartesian plane and the process of plotting points. In groups, students create tables, identify the slope and y-intercept, and graph the equation. Afterward, learners perform the same process, only, individually. As a...
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Linear Equations Data Tables
Students graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...
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Translations, Reflections, and Rotations
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
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Get the Picture?
Students show reflection, translation and rotation of a simple coordinate graph picture which they have created.
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Are We Sure They Are Parallel?
Fourth graders explore the definition and properties of parallel lines. This high level instructional activity has students calculate the slope of the two parallel lines, and draw the lines on a Caretsian coordinate system.
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Translations, Reflections, and Rotations
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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Finding the Distance and Midpoint of a Line Segment
Learners use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
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Graphing Linear Equations - With Table
Students describe relations and graph linear functions. After studying a geometric shape and a verbal statement, students contrast the differences between the verbal statement and the picture. They determine functions and graph...
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Slope and Parallel Lines
Students plot pairs of Cartesian coordinates on graph paper and connect points with straightedges. They examine the lines and determine if they are parallel or not by finding the equations of the lines and comparing the slopes. They...
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Building a Rover
Middle schoolers investigate properties of lines and points by making a rover. In this algebra lesson, students plot points correctly on a coordinate plane. They identify coordinate pairs given the plots and lines.
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