Rectangles 
Grade Levels: 9th & 10th
Subjects(s): Geometry, Rectangles in Art
Learner
Outcomes:
-
The student will recognize and apply the properties of
rectangles by using the properties to prove given conclusions in two column
proofs.
-
The student will recognize and apply the properties of
rectangles by using the properties to solve unknowns about given rectangles.
-
The student will use the properties of rectangles to solve
problems involving architecture and sports.
-
The student will observe and discover relationship of
rectangles in art.
-
The student will apply the use of spreadsheet to calculate
if a quadrilateral is a rectangle.
Duration
of Lesson: 50 minutes
Materials:
-
Each student will need a customary ruler and compass.
-
Each student will need a calculator.
Technology:
-
Students have access to Microsoft Excel.
-
Students have access to Microsoft Powerpoint.
-
Students have access to the Internet.
Procedures:
I. Define
Rectangle: a quadrilateral with four right angles.
II. Show that a rectangle
is a parallelogram
-
review the definition of parallelogram
-
review the properties of a parallelogram
-
prove that a rectangle is a parallelogram
III. Prove :The diagonals of
a rectangle are congruent.
IV. Prove: If the
diagonals of a quadrilateral are congruent, then the
quadrilateral is a rectangle.
Proof is available on Powerpoint, "Terrytrash2".
V. Students will derive and
list the Properties
of a Rectangle.
Enrichment
Activities: Art
and Math: How are they related
The Necker
Cube
Evaluation/Assessment:
-
Check the student's construction of a rectangle as followed
by the presentation, "Terrytrash2"
| TASK |
PASS---+6 |
FAIL---+0 |
TOTAL----+25 |
| Point K is 6 in from J |
|
|
|
| Markings to make OK & PJ
perpendicular to JK |
|
|
|
| PK congruent to OJ |
|
|
|
| STUDENT TOTAL = |
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)
Comments:
If the book Glencoe Geometry Integration,
Applications, Connections is available students will do the following
activities:
1. Students and teacher will
review questions page 309: 5 -14.
2. Assign students page 310 to
work independently in class or
finish
for homework.
Resources:
Authors:
