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Geometry. By Miss O. Geometry ( jee - om - i -tree) – n. The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures. Geometry is ancient.
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Geometry By Miss O.
Geometry (jee-om-i-tree) – n. • The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.
Geometry is ancient. • The earliest records of geometry can be traced to ancient Egypt and the Indus Valley from around 3000 BC.
Euclid • Euclid, a Greek mathematician, wrote The Elements of Geometry. • He presented geometry in a practical form known as Euclidean geometry Euclid’s was not the first important early texts on geometry.
Point • An exact location in space; named by a capital letter
Line • A straight path that extends forever in opposite directions; named by two points on the line • RS S R
Line segment • A part of a line with two endpoints; named by the two endpoints • PZ P Q Z
Plane • A flat surface that extends without end in all directions
Ray • A part of a line with one endpoint that extends forever in one direction; named by the endpoint first followed by another point on the ray
Angle • Two rays joined at a common endpoint called the vertex; named by the vertex or the vertex and a point on each ray
Vertex • The point on an angle or polygon where two lines or rays meet; named with a capital letter Vertex
Right angle • 90 degrees • Square corner • Little box
Acute Angle • Less than 90 degrees
Obtuse Angle • More than 90 degrees
Straight Angle • 180 degrees • Straight line http://www.youtube.com/watch?v=yptZt9hwrzU&safety_mode=true&persist_safety_mode=1&safe=active
Activity 1 • Build all 4 angles with your bodies on the carpet. Each group will have 4 students in it. • Miss O. will come around to take a photo of each angle for the website!
Activity 2 • Play “Simon Says” with each hand motion that represents a geometric term we learned today!
Intersecting Lines • Lines that pass through the same point
Parallel Lines • Lines that never intersect
Perpendicular Lines • Lines that form right angles (90 degree angles) • All perpendicular lines are also intersecting lines!
Talk and Turn: • In the world around you, where do you see geometric figures in real life every day? • Make a list with your partner of at least 3 ways!