Presentation - Ms. Jamie Wolek

Download Report

Transcript Presentation - Ms. Jamie Wolek

Jamie Wolek
Heritage Middle School
Real World Geometry
Heritage Middle School
7th Grade Mathematics
This lesson is taught after students
have a basic understanding of
geometric figures and properties.
How can objects be described and
compared using geometric attributes?
 How are geometric shapes used in
everyday objects?
 Why is mathematics used in art and
architecture?

The rules of Geometry can be applied to
everyday life.
Students will investigate the use of geometric
shapes and solids in architecture, art and
nature using the photographs provided.
 Students will look through printed material and
the internet to identify their own examples.
 Students will take photographs containing
examples and present them to the class.
 Students will draw or construct their own
images.

Students can name and classify polygons
and 3D objects.
 Students can describe their vertices,
edges, faces, and geometric properties.
 Students are familiar with a variety of
geometric concepts:

 Symmetry
 Parallel and Perpendicular lines
 Proportionality

Students can name and classify angles.





Examine photographs of buildings, art, nature,
and everyday objects.
Find and name geometric figures and
properties using correct vocabulary.
Locate additional examples on the internet, in
books, magazines or newspapers. Include
verbal descriptions of geometric properties.
Students will take their own photographs of
everyday objects with these properties and
present to the class.
As a culminating activity, students will create
models and diagrams that use geometric
figures and properties.
Students recognize this structure as a sphere made up
of triangles.
http://www.wdwinfo.com/Photos/600spaceship-earth.jpg
Brightness and contrast to
make the triangles more
pronounced.
Students describe angles, polygons, circles and the
use of symmetry.
http://westongeometry.pbworks.co
m/f/1373342632/cathedralND-4.jpg
Zoom and crop to focus on
angles in center circle.
Students will note use of patterns and symmetry –
discuss tessellations
http://britton.disted.camosun.bc.ca/
escher/lizard.jpg
Change color to highlight
patterns.
Students recognize a sphere and an elliptical orbit.
http://hubblesite.org/gallery
Color and background
edits.
Attractiveness and beauty is often studied scientifically
using measures of facial symmetry.
http://www.crystalinks.com/facialsymmetry2.jpg
Purple hair… still
beautiful!
As its name suggests… students identify a square
pyramid.
https://upload.wikimedia.org/wikipedi
a/commons/e/e3/Kheops-Pyramid.jpg
Enhanced color and
removed tourists.
Students will note angles, symmetry, properties of
circles and isosceles triangles.
https://fullerfuture.files.wordpress.co
m/2015/01/bucky-sacredgeometrysectionoffruitpainting.jpg
Black and white photo
makes shapes and angles
stand out.
Students identify shapes and solids, but most important
perfect symmetry. Further discussion includes which
axes of symmetry are present.
http://carmodyart.weebly.com/uplo
ads/8/0/3/2/8032427/716244155.jpg
?433
Sharpen color and add lines to
discuss symmetry over specific
axes.
Students recognize cylinders as common shapes for
packaging.
Personal photo taken at
Target.
Image rotated horizontally.
Students should study both photographs and take note
of the proportionality of the structure.
https://s-media-cacheak0.pinimg.com/564x/4d/5c/fe/4d5cfe71f
d5f3ad81c758ee73c3adbb0.jpg
Cropped for students to see
proportions in greater detail.
http://www.designboom.com/wp-content/dbsub/368503/2012-1227/img_1_1356644069_c9cd915b9d99637205b5d5884b07fef0.jpg