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6. Relationships
Between Figures (G2) |
| High School
- G2.1 Relationships Between Area and Volume
Formulas
- Angles
and Parallel Lines
This site has an interactive applet that allows
geometry students to discover properties of
parallel lines. Access the applet by clicking
on "11-14" at the left side of the
webpage. Locate "Angles and Parallel Lines" from
the drop down menu to use the applet.
- Can
a Geometric Mean be Nice?
Outstanding - This
lesson deals with proportions, right triangles,
and the geometric mean. It also includes an
interactive window for exploring different
triangles. It also includes downloadable Geometer's
Sketchpad files (optional).
- Geometry
for High School
This site contains over 40 applets for Geometry
including Angles and Parallel Lines, Congruent
Figures and Triangles, Quadrilaterals and Similar
Figures.
- Isometric
Drawing Tool
Students are able to construct different geometric figures and then rotate
them around to see all sides.
- Pantograph
Students use a "Pantograph" to create
similar figures and find the ratio of magnification
when the lengths of the arms are defined. Although
interactive, students could easily create their
own pantograph in the classroom.
- G2.2 Relationships Between Two-dimensional
and Three-dimensional Representations
- Designs
With Circles
A circle construction activity that explores reflectional and rotational symmetry.
- Geometry:
From the Land of the Incas
Students will find an eclectic mix of sound,
science, and Incan history in order to raise
interest in Euclidean geometry. Geometry problems,
proofs, quizzes, puzzles, quotations and visual
displays are included. The site also has a
section on Geometry Theorems and Problems and
quizzes in other areas mathematics.
- Geometry
from the land of the Incas - Pentagons & Pentagrams
This dynamic geometry software provides an
environment in which we can explore geometric
relationships and make test conjectures. The
site also has a section on Geometry Theorems
and Problems and quizzes in other areas mathematics.
- Geometry
from the land of the Incas - Platonic Solids
This dynamic geometry software provides views
of Platonic Solids. Great animation as the
five shapes rotate to show a three dimensional
view of each shape.
- Geometry
from the land of the Incas - Seven Circles
Theorem
This dynamic geometry software provides views
of multiple circles. Great animation as the
six circles touch the original circle and their
two neighbors.
- Glencoe
Mathematics – Poster Project for “Who
is behind this geometry idea anyway?”
Your school is having a Mathematics Appreciation
Day. One event for the day is a competition
for the best research project on a mathematical
topic. Since you are currently studying geometry,
your teacher wants each student in your class
to research a topic in geometry. You will need
to prepare a portfolio or poster to display
the results of your research. If you prefer,
you can prepare a Web page with this information
that others can view.
- Hamilton's
Math to Build On
This is a student interactive site that
reviews the basics of angles from definitions
to drawing. It gives clear simple examples. This
would be extremely useful as a tutorial or
for students who need extra help understanding
this simple concept of geometry. Suitable
for the special needs student.
- Interactive
Construction
Students build shapes out of points, lines
and circles. Basic constructions can be made
using the foundation level while more involved
constructions can be made using the advanced
tools.
- Mark
Newbold's Animated Necker Cube
Put your eyes in focus! This is a mind blowing animation of an opticial illusion.
- Polyhedra
Nets-Paper
Students can print the net provided on this
site to construct polyhedra. This
is not an interactive site.
- Properties
of Circles
Students measure circular objects to discover
the ratio of the circumference of a circle
to it's radius of a circle. This site is not
student interactive but contains printable
student worksheets and teacher reference materials.
- Rotations
and Rotational Symmetry
A nice 4 part lesson plan to use in 9th grade
geometry to teach rotations and rotational
symmetry. Interactive applets are included
along with questions for reflection and understanding.
Students are able to create their own designs.
- Sketchpad
Homework
Teachers will find detailed instructions for several sketchpad applications.
It begins with basic
- Symmetries
and Their Properties: Glide Reflections
A five part lesson plan including a student
tutorial, interactive applets and questions
for understanding. A good lesson for 9th grade
geometry to reinforce the properties of glide
relflections. Students are able to create their
own designs.
- Symmetries
and Their Properties- Reflections
A four part lesson plan with student interaction
that helps to reinforce the properties of reflections
through tutorials with applets included. Perfect
for 9th grade geometry. Questions for understanding
are included.
- Symmetries
and Their Properties- Translations
A 5 lesson activity on translations for 9th
grade geometry. The activities include tutorials,
interactive applets and questions for understanding.
Student will be actively engaged in this lesson.
- Teacher
Resources for Inversions
This site provides several classroom activities
based on inversions. Worksheets are appropriate
for grades 3-12 for teaching symmetry, art,
geometry, language arts, and creative thinking.
Teacher lesson plans and printable worksheets
are included.
- The
Four Types of Symmetry in the PlaneThis site provides teacher notes on transformations
of shapes in two dimensions. The site is
not interactive but contains diagrams, sample
questions and recommended projects.
- The
Moving Sofa Problem
Outstanding! This "Study
Works" site provides a complete set of
lessons for upper middle school through high
school. Students must determine whether couches,
of varying shapes, can fit around a narrow
corner. In addition, students calculate areas
of different shaped furniture and explore properties
of regular and irregular objects. Teacher notes,
worksheets, and discussion topics are included.
- Visualizing
Topography
Visualizing Topography is an instructional
tour that shows how to visualize topography
in 3D. It contains Quick Time movies and questions
that help students visualize two-dimensional
topography in three dimensions. Student worksheets
and teacher guides are included.
- G2.3 Congruence and Similarity
- Angles
and Parallel Lines
This site has an interactive applet that allows
geometry students to discover properties of
parallel lines. Access the applet by clicking
on "11-14" at the left side of the
webpage. Locate "Angles and Parallel Lines" from
the drop down menu to use the applet.
- Can
a Geometric Mean be Nice?
Outstanding - This
lesson deals with proportions, right triangles,
and the geometric mean. It also includes an
interactive window for exploring different
triangles. It also includes downloadable Geometer's
Sketchpad files (optional).
- Geometry
for High School
This site contains over 40 applets for Geometry
including Angles and Parallel Lines, Congruent
Figures and Triangles, Quadrilaterals and Similar
Figures.
- Isometric
Drawing Tool
Students are able to construct different geometric figures and then rotate
them around to see all sides.
- Pantograph
Students use a "Pantograph" to create
similar figures and find the ratio of magnification
when the lengths of the arms are defined. Although
interactive, students could easily create their
own pantograph in the classroom.
- Reflect
on ThisThis site, by NCTM (Illuminations) provides
a lesson on symmetry for high school geometry
students.
In this lesson, the student will build a kaleidoscope
and use reflection to create and measure polygons.
Reproducible activity masters can be downloaded
by the teacher.
- Symmetry
Around the World
Students can read a lot of useful information about the various types of symmetry.
Many pictures are included. The reading is easy and the pictures are interesting.
It includes a worksheet that teachers can print and students can complete as
they work through the site.
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