Geometry View of Rectangles
Grade Levels: 9th & 10th grade
Subjects:
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Geometry
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Rectangles in Art
Learner Outcomes:
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The student will recognize and apply the properties of
rectangles by using the properties to prove given conclusions in two column
proofs.
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The student will recognize and apply the properties of
rectangles by using the properties to solve unknowns about given rectangles.
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The student will use the properties of rectangles to solve
problems involving architecture and sports.
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The student will observe and discover relationship of
rectangles in art.
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The student will apply the use of spreadsheet to calculate
if a quadrilateral is a rectangle.
Duration of the lesson: 50 minutes
Materials:
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Each student will need a customary ruler and compass.
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Each student will need a calculator.
Technology:
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Students have access to Microsoft Excel.
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Students have access to Microsoft Powerpoint.
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Students have access to the Internet.
Procedures:
I. Students will complete homework
assessment and turn in when
completed.
II. Student and teacher do Excel
Spreadsheet.
III. Discuss the Golden Rectangle.
IV. Prove #39, Proof
#39
Enrichment
Activities:
-
Look for any help and extensions to the lesson at an interesting
web site for all levels. Explore
Math
Evaluation/Assessment:
State and National Standards:
WV
IGOs:
-
G.89,10,11 explore and identify properties of quadrilaterals
and verify properties for parallelogram, rectangle, rhombus G, square,
and trapezoid
-
G.159,10,11 discover the lengths of sides of polygons
from given data
-
G.23 use appropriate software to practice and master Geometry
and Applied Geometry instructional objectives
National
Standards:
-
Uses geometric constructions (e.g., the parallel to a
line through a given point not on the line, line segment congruent to a
given line segment) to complete simple proofs, to model, and to solve mathematical
and real-world problems.
-
Understands that objects and relations in geometry correspond
directly to objects and relations in algebra (e.g., a line in geometry
corresponds to a set of ordered pairs satisfying an equation of the form
ax + by = c.).
Resources:
Authors:
