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MI Plan #9
John Fietsch
Making Shapes
Lesson:
Making Shapes
Grade Level:
10th Grade
Geometry
Time Frame:
1-2
Class periods
Aims:
-
Students
will become fluent in the use of geometric tools in order to construct
geometric objects
Goals:
-
Using
compasses and protractors, students will be able to construct any geometric
shape or figure
Objectives:
Following
a worksheet and working with compasses and protractors in small groups,
students will:
-
Learn
to make squares, circles, triangles, etc.
-
Be
able to construct angles of given measure
-
Construct
angle bisectors, altitudes of triangles, etc.
Wisconsin Standards Covered:
C.12.1
Identify, describe, and analyze properties of figures, relationships among
figures, and relationships among their parts by
-
Constructing
physical models
-
Drawing
precisely with paper-and-pencil, hand calculators, and computer software
-
Using
appropriate transformations* (e.g., translations, rotations, reflections,
enlargements)
-
Using
reason and logic
Source: Planning Curriculum
in Mathematics, 2002 WI DPI.
Materials:
-
Compasses
-
Protractors
-
Pencils
-
Worksheets
-
Textbook
-
Rulers
Background
Information:
Basic
knowledge of geometry up to the present time in class.
General Procedures:
-
Divide
class into groups of about 6-7 students
-
Handout
a worksheet to each group
-
Students
are given a list of shapes and are asked to exactly reproduce the shapes
using paper and pencil along with a compass and protractor.
-
Students
are given lists of coordinates and asked to graph the coordinates to get the
desired geometrical shapes. They
are then responsible for finding angle measures of the separate angles of
the produced polygons.
-
Each
group will complete a write up on the procedures that they used to complete
the assignment.
Multiple
Intelligences Procedures:
-
Linguistic:
These students will complete the write-up portion of the
assignment after the experimentation is completed
-
Interpersonal:
These students will act as the “overseers” of the group and its
processes.
-
Naturalistic:
These students will be asked to walk through the school and around
the school grounds to find objects that have similar shapes to the ones that
they were asked to construct.
-
Kinesthetic:
These students will be doing the actual construction of the
geometrical figures using the protractors and compasses.
These students will work closely with the Mathematical students.
-
Spatial:
These students would be asked to estimate the measure of certain
angles or sizes of certain sides of objects, etc. to get an idea of the
actual measurements.
-
Intrapersonal:
These students would be responsible for writing/overseeing a group
self-evaluation. They would be responsible for evaluating the strategy
that the group used and decide if there are any other strategies that may be
more useful or efficient.
-
Logical/Mathematical:
These students would be doing the actual paper and pencil
calculations (or possibly using a calculator or computer) to find
measurements and reproduce the figures.
These students will work closely with the Kinesthetic students.
Assessment:
Groups
will be assessed by:
-
The
quality and detail of their reproductions and write-ups
-
The
accuracy of their measurements/calculations
-
Proof
of correct pencil and paper calculations
-
Strong
evidence of teamwork to enhance understanding
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