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The Road To Math Discovery

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Sharon Shannon

on 8 February 2015

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Transcript of The Road To Math Discovery

Introduction to Geometry
What is Geometry?
Geometry is the study of the size, shape and position of 2 dimensional shapes and 3 dimensional figures. However, geometry is used daily by almost everyone. In geometry, one explores spatial sense and geometric reasoning.
How Geometry Is Being Used?
How is geometry being used in the real world?

Geometry is found everywhere: in art, architecture, engineering, robotics, land surveys, astronomy, sculptures, space, nature, sports, machines, cars and much more.
Purpose of Geometry
Why use Geometry?
When taking geometry, spatial reasoning and problem solving skills will be developed. Geometry is linked to many other topics in math, specifically measurement and is used daily by architects, engineers, architects, physicists and land surveyors just to name a few. In the early years of geometry the focus tends to be on shapes and solids, then moves to properties and relationships of shapes and solids and as abstract thinking progresses, geometry becomes much more about analysis and reasoning.
Tools used in Geometry
What instruments are being used in geometry?

compass-
a piece of equipment used for drawing circles, consisting of two thin parts joined in the shape of the letter V
dividers-
a piece of equipment used for measuring or drawing lines and angles, consisting of two pieces of metal with pointed ends that are joined together at the top
plumb line
-a piece of string with a metal object fixed to the bottom, used for checking whether a wall is straight or for measuring the depth of water
protractor
-an object that is shaped like half a circle and is used for measuring and drawing angles
triangle
-a set square
Tools used in Geometry (cont.)
set square
-a flat plastic or metal tool with three straight sides and one right angle, used for drawing lines and measuring angles
slide rule-
a simple piece of equipment like a ruler with a piece in the middle that slides along, used for calculating.

theodolite
-a piece of equipment that a surveyor uses for measuring angles
T-square
-a tool in the shape of the letter T that can help you to draw lines that are exactly parallel or in the shape of a square. A T-square is used in making detailed plans for buildings etc
ruler-
an object used for measuring or for drawing straight lines, consisting of a long flat piece of plastic, wood, or metal marked with units of measurement
Geometric Terms and Definitions
Point
- A location in space - a dot on a piece of paper
Line
-
Connects two points via the shortest path and continues indefinitely (forever) in both directions
Line Segment
-
Part of a line between two points

Perpendicular Line Segment
- Line Segments that intersect (cross) at an angle of 90°
Parallel Line Segments-

Line segments that never intersect (they are always the same distance apart)
Right Angle-

An angle that measures 90°

Geometric Terms and Definitions (cont.)
Obtuse Angle-
An angle that measures more than 90°
Vertex Point-
at which two line segments intersect (forming an angle)
Scalene Triangle-
A triangle with all three sides with different lengths
Isosceles Triangle-
A triangle with two equal length sides (and two equal internal angles)
Equilateral Triangle-
A triangle with all three sides of equal length (each internal angles = 60°)

Geometric Terms and Definitions (cont.)
Radius Distance
- (line segment) from center of a circle to any point on that circle's circumference.
Diameter-
A line segment (or length) joining two points on a circles circumference and passes through the circle's center (twice the length of the radius)
Circumference
- Distance around a circle (the perimeter)
Chord
- A line segment joining two points on a curve.
Arc
- Part of a curve
Acute Angle
- An angle that measures less than 90°
GOAL!
The Road To Math Discovery
By: Sharon Shannon
Road to Completion
Now you have background information on geometry and how it's being used in everyday life; along with the the terms and tools used to study geometry.

Good luck on your quest to learning geometry.


Geometry Activities Using Technology
Practice geometry using the following links provided.

http://www.shodor.org/interactivate/activities/Tessellate/
http://www.math-play.com/Geometry-Math-Games.html
http://www.gamequarium.com/geometry.html
http://www.kidsmathgamesonline.com/geometry.html
Full transcript