RHOMBUS
& SQUARES
Subject Area: Geometry, Art
Grade Level : 9-12
Learner Outcomes: The student will be able to
recognize and
apply the
properties of the rhombus.
Duration of the Lesson: 50 minutes
Materials:
-
Computer
-
Calculator
-
Drawing Equipment
-
Colored Pencils
-
Scissors
Technology:
-
Access to the internet
-
Calculators
Procedures:
1. Definition of the rhombus will be introduced.
A rhombus
is a parallelogram with consecutive sides congruent.
The rhombus has all of the properties of
the parallelogram plus some properties of
its own. All of these are pictures
of rhombi.
2. Define Square.
3. Discuss and compare
the properties and definitions of parallelograms,
rectangles, rhombi and squares.
Enrichment
Activities:
-
Magic
Squares : A magic square is an arrangement of the numbers from 1 to
n^2 (n-squared) in an nxn matrix, with each number occurring exactly once,
and such that the sum of the entries of any row, any column, or any main
diagonal is the same. It is not hard to show that this sum must be n(n^2+1)/2.
-
Tangrams
: A tangram is a geometric puzzle with 7 pieces (5 triangles, 1 square,
and 1 rhomboid) that are arranged to create images of various objects.
This ancient game, which originated in China, has been enjoyed by many
American children throughout the years.
-
Tesselations
: Math and art combined.
-
Rhombus
Activity
Evaluation
and Assessment:
The student will be assessed by
participating in a short written quiz.
State
and National Standards:
WV
IGOs
-
G.89,10,11 explore and identify properties of quadrilaterals
and verify properties for parallelogram, rectangle, rhombus, square, and
trapezoid
-
G.149,10,11 discover the measures of angles of a polygon
and connect the results to tessellating pattern
-
G.159,10,11 discover the lengths of sides of polygons
from given data
-
G.169 develop and apply formulas for area, perimeter,
surface area, and volume and apply them in the modeling of practical problems
NATIONAL
STANDARDS
-
Uses properties of and relationships among figures to
solve mathematical and real-world problems (e.g., uses the property that
the sum of the angles in a quadrilateral is equal to 360 degrees to square
up the frame for a building; uses understanding of arc, chord, tangents,
and properties of circles to determine the radius given a circular edge
of a circle without the center)
References:
Authors:
