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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
http://www.timiddlegrades.com/activitiesmath/487/
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.