Transformations on the Coordinate Plane

7th - 10th

Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson could be improved by including more exploration with transformations on the coordinate plane before giving "formulas" to find the coordinates of images.

Resource Details

Algebra I
Instructional Design
Skills Practice
1 hr

Travel Maps

Use maps of well-known cities to teach about quadrants in the coordinate plane. Links to maps for: Boston, Chicago, New York, Orlando, and Washington DC are included. There are two student resources also: A graph on which to plot points, and a chart on which to write the coordinate points. The use of maps of well-known cities will help engage students in learning about being precise when identifying and plotting coordinate points.

Outdoor Education Map

Sixth graders mark activity stations and locations of important buildings on a grid map of an outdoor education school. This is a practical application for the skill of graphing points in the four quadrants of the coordinate plane.

A Rectangle in the Coordinate Plane

A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem. 

Graphing on a Coordinate Plane

Eighth graders explore the coordinate system. They identify the x and y-axis, parts of the coordinate plane, and discuss the process of plotting points. To emphasize the process of plotting points, 8th graders play an ordered pair game. Students use ordered pairs to write step-by-step directions that will allow a mouse to pass through a maze to get to some cheese. They discuss how you may use the coordinate system in real life.

Intro Algebra: Graphing Data and the Coordinate Plane

Students bounce various tennis and racket balls, predicting and recording how fast they can bounce and catch them. They graph the results on a coordinate plane. And then, they compare their graphs with one another, analyzing how different variables affected their results. Finally, students identify how temperature can change the elasticity of materials.

Graphing and the Coordinate Plane

Learners examine the four quadrants of Cartesian coordinate plane. They play maze games and coordinate games to discover how to read and plot points on the plane. Students plot points on the coordinate plane and examine the ratio of rise over run for the slope.

How Do You Use Coordinates to Translate a Figure Horizontally?

There are many ways to transform a figure on a coordinate plane. This problem requires the movement to be four units horizontally to the right. Using the original coordinate pairs, a positive 4 can be added to each x-value to get the new coordinate points. Then plot the points and connect them.

How Do You Use Coordinates to Translate a Figure Vertically?

Transform the figure six units vertically down. Use the given coordinate points to translate by subtracting 6 from each of the given y-values. Then plot the new coordinates points and connect the dots.

Finding Our Top Speed

Pupils explore Cartesian Graphing by exploring two-dimensional space in which they navigate the coordinate plane.

Squares and Parallelograms in the Coordinate Plane

Students explore the concept of squares and parallelograms. In this squares and parallelograms lesson, students find the coordinates of the vertices of special quadrilaterals in the coordinate plane. Students are given two vertices in the coordinate plane and must find the other two vertices of the quadrilateral.

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