Translations Teacher Resources

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This presentation is pretty straightforward in illustrating how to translate a figure on the coordinate plane. Watch the instructor follow the directions to translate the figure four units to the right and six units down.
Want to move a graphed function up or down? This is called a function translation. This video looks at translating a cubic function up three units. It considers the function in standard form, the graph of the function, and a table of values of the function, to see how each is affected by this function translation.
Young mathematicians explore how to graph absolute value equations and how these equations can be translated vertically and horizontally. They also use coordinate geometry to locate objects in both two and three dimensions.
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.
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.
Students work in cooperative groups to manipulate a figure on the computer to demonstrate different types of geometric transformations. They generate formulas that can be used to translate different figures.
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
One way to translate a geometric figure on a coordinate plane is through the use of matrices. This video shows how to write the original coordinates in a matrix, how to build a translation matrix, how to add them, and then how to plot the new coordinates.
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle congruence, rigid motion, rotation, translation, and the distance formula. Challenge your learners to find the solution two different ways. 
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better.  Students complete several discussions and guided practices and then work independently on the worksheets provided within the unit. 
Tenth graders plot points on a coordinate plane. In this geometry lesson, 10th graders identify the different quadrants, plots points on a number line and coordinate plane and solve for the midpoint of line segments.
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
Mathematicians analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the general parabola. PDF downloads of the lab activity are included.
Ninth graders explore transformations on a Coordinate plane. In this transformation lesson, 9th graders predict the transformation that will occur in each situation. Students also explore the relationship between a picture and its image when it is flipped two different ways.
Students graph coordinate points to create a picture of Snoopy. In this coordinate point instructional activity, students read a book and learn about Rene Descartes' invention, the coordinate grid.  Students graph a surprise picture on Geometer's Sketchpad.
Transformations. Learn a little bit of geometry. See how to translate a geometric figure on a coordinate plane horizontally by sliding it over. Simply pick a point on the figure and count the units you want to move it. Then repeat that for all the marked points.
Transformations. Learn a little bit of geometry. See how to translate a geometric figure on a coordinate plane vertically by sliding it over. Simply pick a point on the figure and count the units you want to move it. Then repeat that for all the marked points.
A translation means moving a figure to another location by sliding it. The figure, called the image, maintains its size and shape. You can move the image horizontally, vertically, or a combination of both.
Students perform translations and reflections. In this algebra activity, students use the TI calculator to graph functions. They move the functions around on the coordinate plane using translation and reflection.
Students create an image using given coordinates and evaluate how the coordinates change when a slide or rotation takes place.

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