Transformations

toc

=ACOS Objective 7=


 * Determine the transformation(s), including translations, reflections, or rotations, used to alter the position of a polygon on the coordinate plane.**
 * Determining the type of symmetry (rotational or line) found in a reflection or rotation
 * Graphing transformations of quadrilaterals on the Cartesian plane by plotting the vertices
 * Graphing figures which are similar to other figures using dilations

ARMT Possible Points = 4 (MC)
 * The four options may be four graphs.
 * The stem of the item may include a graph.
 * To change the position of a polygon on the coordinate plane may require two transformations.
 * The identification of a transformation may be required.

Sample problems from Item Specs

Sara Parsley, a teacher at Oak Park Middle School in Decatur, [|teaches translations] using the [|Electric Slide].

[|Kaleidoscope Lesson Plan]

Webquest

//Below are some websites I found regarding tessellations. Please feel free to add to the list!// Bathroom Tiles - great game to practice transformations http://www.bbc.co.uk/education/mathsfile/shockwave/games/bathroom.html

Tessellation Animations http://members.cox.net/tessellations/index.html

The Tessellation Tool http://www.boxermath.com/plp/modules/online/workshop/toolbox/mosaictool.html?offer_id=PMTHF

Regular Tessellations (student lesson) http://mathforum.org/pubs/boxer/student.tess.html

Coolmath.com – Karen’s Tessellation page http://www.coolmath.com/tesspag1.htm

DIY Basic Facts http://www.tessellations.org/diy-basic1.htm

Escher Art Collection http://www.cs.unc.edu/%7Edavemc/Pic/Escher/

Totally Tesselated http://library.thinkquest.org/16661/

Movin' and Changin' http://www.timiddlegrades.com/assets/pdfs/upload_dir/ti84plus_73_middlegrade_math_movinand_491.pdf Texas Instruments calculator activity on transformations.

Reflections of Points and Figures [] Texas Instruments graphing calculator activity

[|Reflections and Rotations] Students reflect figures over the x- and y-axes and rotate figures 90°, 180°, and 270° counterclockwise about the origin, writing rules for each reflection and rotation.