Transcript Multimedia Design Project

Explorations in
Geometry
Group 3:
Theresa Abromitis
Stephen Kish
Kimberly Kozar
Background Information
Subject: Mathematics (Geometry)
Grade Level: 6th Grade
Standards
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“Analyze characteristics and properties of two- and three- dimensional
geometric shapes and develop mathematical arguments about geometric
relationships.”
Describe using specific vocabulary and classify relationships among types of
triangles, polygons, quadrilaterals (trapezoids, parallelograms, rectangles,
rhombi, squares) using their defining properties.
Develop concept of congruence.
Describe using specific vocabulary parts of a circle.
“Use visualization, spatial reasoning, and geometric modeling to solve
problems.”
Draw geometric objects (squares, triangles and rectangles) with specified
properties, such as side lengths or angle measures .
Recognize and apply geometric ideas and relationships in areas outside the
mathematics classroom, such as stained glass windows or quilt patterns.
Standards con’t
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The specific technology standards that are addressed through the use of
“Explorations in Geometry” are:
Students use technology tools to enhance learning, increase productivity,
and promote creativity.
Students use technology resources for solving problems and making
informed decisions.
The specific technology performance indicators that are addressed
through the use of “Explorations in Geometry” are:
Use content-specific tools, software, and simulations (e.g. environmental
probes, graphing calculators, exploratory environments, Web tools) to
support learning and research.
Apply productivity/multimedia tools and peripherals to support personal
productivity, group collaboration, and learning throughout the curriculum.
Goal
• The goal of this power point
presentation is for students to
comprehend the characteristics and
properties of different types of
shapes, and apply the information to
various activities in order to assess
their understanding.
Polygons…
Polygons are figures which have three or more
sides. A few examples are:
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triangle (3 sides)
rectangle (4 sides)
pentagon (5 sides)
hexagon (6 sides)
octagon (8 sides).
Polygons can be found everywhere.
Polygons…
Which one is a triangle? A rectangle?
Pentagon? Hexagon? Octagon?
Polygons…
These examples are also known as
regular polygons. Regular means that
all of the sides of the figure are the
same length.
For a more detailed explanation, visit
this website.
Types of Shapes
Polygons are divided into two types of
categories:
• Plane Shapes
• Geometric Shapes
Plane Shapes
• Circle
• Triangle
• Quadrilaterals
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Square
Rectangle
Rhombus
Parallelogram
Trapezoid
Plane Shapes
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Circle - a closed plane curve
consisting of all points at a
given distance from a point
within it called the center
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Triangle - a closed plane
figure having three sides and
three angles
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Quadrilateral - a plane figure
having four sides and four
angles
Types of Quadrilaterals
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Square - a special rectangle
with 4 equal sides and 4 equal
angles (all 90°).
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Rectangle - has 2 pairs of
equal sides and 4 equal angles
(all 90°).
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Rhombus - has 4 equal sides
with opposite sides parallel
and opposite angles equal.
Types of Quadrilaterals
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Parallelogram - has opposite
sides equal and parallel.
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Trapezium - has one pair of
parallel sides of different
lengths.
Quadrilaterals
Test your knowledge and complete the
chart
Geometric Shapes
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Rectangular Prism
Sphere
Cone
Cylinder
Cube
Pyramid
Geometric Shapes
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Rectangular Prism – A solid
figure that has two pairs of
parallel opposite faces and
congruent bases that are all
rectangles.
Sphere – A space figure
having all of its points the
same distance from the
center.
Cone – a space figure having
a circular base and a singular
vertex
Geometric Shapes
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Cylinder – A three dimensional
figure with two bases that are
circles, not polygons, and with
sides that are curved, not flat.
Cube – A three dimensional
figure with six matching square
faces with three meeting at
each vertex.
Pyramid – A a three
dimensional figure with 3 or
more triangular faces sharing a
common vertex. The base can
be any type of polygon.
Test Your Knowledge
You have successfully reviewed
information regarding various shapes.
Try this test to see how much you
learned!
On the next page, complete the chart
to show many shapes your remember!
Using Shapes in
Computer Programs
Next you will see two programs in which you
can use the shapes you have learned to
create pictures as well as show your
understanding.
Please open either Inspiration or
Kidspiration and complete the activity.
Additional Resources
• http://www.mathleague.com/help/geometry/polygons.htm
• http://www.mathleague.com/help/geometry/3space.htm
• http://www.coolmath4kids.com/tesspagl.html may be able
to get some ideas from this site
• http://www.math.com/homeworkhelp/Geometry.html and
go to polygons
• http://nlvm.usu.edu/en/nav/topic_t_3.html and go to
grades 6-8. Great visual tasks!!
• http://www.gamequarium.com/geometry.html and go to
Geometric Matching, Assemble the Square and Geo-Matho
• http://mathforum.org/dr.math/faq/formulas/faq.figuredef.
htm