1.3 Grid MovesUNIT 1 & 2 • LESSON 3 GTGT GRID MOVESSetting the StageWHAT YOU WILL LEARNIn this lesson, I will transform some figures on grids.I can...[list][*]Distinguish which basic transformations could or could not be used to send one figure to another.[/*][*]Increase fluency using the terms translation, rotation, reflection, image, and corresponding points.[/*][*]Use grids to more precisely describe and draw transformations.[/*][/list]I will know I learned by...[list][*]Demonstrating I can use grids to carry out transformations of figures.[/*][*]Demonstrating that I can decide which type of transformations will work to move one figure to another.[/*][/list][b] FAMILY MATERIALS:[/b]To review or build a deeper understanding of the math concepts, skills, and practices in this lesson, [url=https://im.openupresources.org/8/teachers/1/family_materials.html]visit the Family Materials provided by Illustrative Mathematics Open-Up Resources. (Links to an external site.)Links to an external site.[/url]3.1: Notice and Wonder: The Isometric GridWhat do you notice? What do you wonder?[img width=562,height=442]https://hcpss.instructure.com/courses/93828/files/10332676/preview[/img] 3.2: Transformation InformationFollow the directions below each statement to tell GeoGebra how you want the figure to move. It is important to notice that GeoGebra uses vectors to show translations. A [i]vector[/i] is a quantity that has magnitude (size) and direction. It is usually represented by an arrow.These applets are sensitive to clicks. Be sure to make one quick click, otherwise it may count a double-click.After each example, click the reset button, and then move the slider over for the next question.[url=http://im.openupresources.org/8/students/1/3.html#geogebra-wrapper-Cqw7AKcp-1492109391564]Geogebra Applet (Links to an external site.)Links to an external site.[/url][url=http://im.openupresources.org/8/students/1/3.html#geogebra-wrapper-Cqw7AKcp-1492109391564] (Links to an external site.)Links to an external site.[/url][list=1][*][b]Translate[/b] triangle ABCABC so that AA goes to A′A′.[list=1][*]Select the Vector tool.[/*][*]Click on the original point AA and then the new point A′A′. You should see a vector.[/*][*]Select the Translate by Vector tool.[/*][*]Click on the figure to translate, and then click on the vector.[/*][/list][/*][*][b]Translate[/b] triangle ABCABC so that CC goes to C′C′.[/*][*][b]Rotate[/b] triangle ABCABC 90∘90∘ [b]counterclockwise[/b] using center OO.[list=1][*]Select the Rotate around Point tool.[/*][*]Click on the figure to rotate, and then click on the center point.[/*][*]A dialog box will open; type the angle by which to rotate and select the direction of rotation.[/*][*]Click on ok.[/*][/list][/*][*][b]Reflect[/b] triangle ABCABC using line ℓℓ.[list=1][*]Select the Reflect about Line tool.[/*][*]Click on the figure to reflect, and then click on the line of reflection.[/*][/list][/*][/list][url=http://im.openupresources.org/8/students/1/3.html#geogebra-wrapper-xbEUGnx8-1492109646714]Geogebra Applet (Links to an external site.)Links to an external site.[/url][url=http://im.openupresources.org/8/students/1/3.html#geogebra-wrapper-xbEUGnx8-1492109646714] (Links to an external site.)Links to an external site.[/url][list=1][*][b]Rotate[/b] quadrilateral ABCDABCD 60∘60∘ [b]counterclockwise[/b] using center BB.[/*][*][b]Rotate[/b] quadrilateral ABCDABCD 60∘60∘ [b]clockwise[/b] using center CC.[/*][*][b]Reflect[/b] quadrilateral ABCDABCD using line ℓℓ.[/*][*][b]Translate[/b] quadrilateral ABCDABCD so that AA goes to CC.[/*][/list]Are You Ready For More?Try your own translations, reflections, and rotations.[list=1][*]Make your own polygon to transform, and choose a transformation.[/*][*]Predict what will happen when you transform the image. Try it - were you right?[/*][*]Challenge your partner! Right click on any vectors or lines and uncheck Show Object. Can they guess what transformation you used?[/*][/list][url=http://im.openupresources.org/8/students/1/3.html#geogebra-wrapper-eFeE2Veu-1492110925269]Geogebra Applet (Links to an external site.)Links to an external site.[/url]SummaryWhen a figure is on a grid, we can use the grid to describe a transformation. For example, here is a figure and an image of the figure after a move.[img]https://cms-k12oer-staging.s3.amazonaws.com/uploads/pictures/8/8.8.TranslationSummary.png[/img]Quadrilateral ABCD is translated 4 units to the right and 3 units down to the position of quadrilateral A′B′C′D′.A second type of grid is called an [i]isometric grid[/i]. The isometric grid is made up of equilateral triangles. The angles in the triangles all measure 60 degrees, making the isometric grid convenient for showing rotations of 60 degrees.[img]https://cms-k12oer-staging.s3.amazonaws.com/uploads/pictures/8/8.1.A3.Image.Revision.101.png[/img]Here is quadrilateral KLMN and its image K′L′M′N′after a 60-degree counterclockwise rotation around a point P.