Sunday, July 11, 2010

Target Standard of Focus

I think I would like to focus on the Grades 5-8 Mathematics Spatial Relationship and Geometry Standard which is Content Standard 6 :
"Students will analyze and use spatial relationships and basic concepts of geometry to construct, draw, describe and compare geometric models and their transformations, and use geometry relationships and patterns to solve problems." It specifically includes the following:
a. investigate, explore and describe the geometry in nature and real-world applications
b. identify, visualize, model, describe and compare properties of and relationships among 2- and 3-dimensional shapes
c. describe and use fundamental concepts and properties of, and relationships among, points, lines, planes, angles and shapes, including incidence, parallelism, perpendicularity, congruence, similarity and the Pythagorean theorem
d. construct, analyze and apply the effects of reflections, translations, rotations and dilations on various shapes
e. relate 2- and 3-dimensional geometry using shadows, perspectives, projections and maps
f. solve real-world problems using geometric concepts

I think that geometry and spatial relationships are all about visual learning. Students are asked to draw lines, see and recognize shapes and relationships between shapes. In Photoshop on Thursday I was able to transform an object and rotate it 180 degrees. The standard I am focusing on requires students understand the concepts of transformations, reflections, dilations, rotations. How much fun would it be to have students take pictures of an object with specific geometric properties and then have them manipulate it using one of the free photo editing tools so that they actually see what it means to rotate, dilate, reflect and transform that object.
A tool like Inspiration would be an interesting way to have students lay out the characteristics of polygons and then link similar shapes together by those characteristics. How do different geometric shapes relate to each other? How do 2-dimensional shapes relate to 3-dimensional shapes? Seeing how these can be connected in a concept map would be much more powerful to students than memorizing them and then recall them on a test. (Post 6)

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