|
|
|
||
|
|
OVERVIEW: Students will be able to use VRML program
to create a sphere and wrap an image of the sphere using
VRML as the radius changes. |
||
|
|
AUTHOR(S): Beilan Su |
||
|
|
VITAL
INFORMATION |
||
|
|
Subject:
geometry Unit
and Topic: |
Geometry
of Earth |
|
|
|
Grade/Level:
Time
Allotment: |
6
– 8 grade 90
min |
|
|
|
|
||
|
|
Pre-Requisite
Skills: |
Students must have basic computer skills;
know how to use |
|
|
|
Objective(s): |
The students will be able to: use VRML program to create a simple 3-D
image of sphere and wrap a picture of earth around it. They will also be able
to explore the change of circumference, area, volume, and surface area as the
radius of the sphere changes. Given radius of the earth, students will be
able to find the circumference, surface area and volume of the earth. |
|
|
|
Summary: |
The purpose of this lesson is to use
computer technology to help students visualize the change of a sphere’s
surface area, circumference, and volume as the radius doubles or triples. |
|
|
|
PREPARATION |
|
|
|
|
Instructional
Materials |
LCD
project, laptop, computer with VRML and text-pad, Cortona Viewer, pencil and
paper, |
|
|
|
Resources: |
Internet connection,
Google search. |
|
|
|
IMPLEMENTATION |
|
|
|
|
Introduction/Motivation: |
Teacher
starts the lesson by asking students how they can draw a 3-D image of a
sphere with just a computer, |
|
|
|
Learning
Context : |
Students should follow directions and work
on the computer independently. They will also be able to consult the student
seats next to them should they have any questions. |
|
|
|
Procedure: |
1.
Introduction
of the lesson: agenda and expectations are given at this point using power point presentation. 2.
Students
follow step by step directions to create a 3-D image of
a sphere ( red, radius of 1 unit, and locate in the center of the screen) 3.
Students
explore the changes of the image (circumference and volume) as the radius
changes. 4.
Use
pencil, paper, and calculator to find the changes of the sphere’s
volume, surface area, and circumference as the radius doubles in size, triples,
or ½ the original size, and record their findings in the chart. 5.
Summarize
their findings 6.
Continue
with step by step instruction to show students how to wrap a picture of earth around the sphere. 7.
Give
earth’s radius on board 8.
Use
calculator to find the surface area and volume of the earth. 9.
Summarize
the lesson: students record their findings in their chart and teacher
summarizes their answers. |
|
|
|
Differentiated
Instruction: |
Accelerated learner: They can create 3-D images of a cone,
cylinder, or box with 3-D images of a cone,
cylinder, or box different colors. Justify the reason as the radius doubles,
the circumference doubles, the area 4-times, the volume 8-times the original
size. Pair fast learner with slow learner and
allow slow learners to use calculators. |
|
|
|
Sample
Student Products: |
Students’ 3-D images will be stored
on teacher’s jump drive. Math calculation part will be done on paper
and pencil and collected at the end of the class. |
|
|
|
Collaboration: |
This lesson can be collaboratively taught with science teacher in the
subject of earth science. |
|
|
|
Author's
Comments & Reflections: |
Surface area and volume of a sphere is a somewhat abstract concept
for students to grasp, and we often don’t have a tangible model to show
to students, especially if we want to demonstrate the change of volume as the
radius of the sphere changes. With VRML program for students to use, they get
the instant 3-D image. Students can manipulate the image, change its radius
and see the instant change of the volume, which in turn makes the lesson more
interesting and attention catching. |
|
|
|
STANDARDS
& ASSESSMENTS |
||
|
|
WV
CONTENT STANDARDS AND OBJECTIVES: M.O.8.4.1. Select
and apply an appropriate method to solve, justify the method and the
reasonableness of the solution of problems involving volume of spheres. USA
- 21ST CENTURY LEARNING SKILLS & ICT LITERACY Standard 3:
Geometry
Through
communication, representation, reasoning and proof, problem solving, and
making connections within and beyond the field of mathematics, students will
analyze characteristics and properties of two- and three-dimensional
geometric shapes and develop mathematical arguments about geometric
relationships, specify locations and describe spatial relationships using
coordinate geometry and other representational systems, apply transformations
and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial
reasoning, and geometric modeling. NATIONAL STANDARDS: NM-MEA
6-8.2 Use
formulas to determine the circumference and area of circles. Use formula to
determine the volume of spheres. |
|
|
|
|
RUBRIC
|
