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Geometry By Miss O.
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By Miss O.. The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Jan 19, 2016

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Page 1: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Geometry By Miss O.

Page 2: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Geometry (jee-om-i-tree) – n.

Page 3: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

The earliest records of geometry can be traced to ancient Egypt and the Indus Valley from around 3000 BC.

Geometry is ancient.

Page 4: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

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.

Euclid

Page 5: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

An exact location in space; named by a capital letter

Point

Page 6: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

A straight path that extends forever in opposite directions; named by two points on the line

RS

Line

R

S

Page 7: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

A part of a line with two endpoints; named by the two endpoints

PZ

Line segment

ZP Q

Page 8: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

A flat surface that extends without end in all directions

Plane

Page 9: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

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

Ray

Page 10: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Twp rays joined at a common endpoint called the vertex; named by the vertex or the vertex and a point on each ray

Angle

Page 11: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

The point on an angle or polygon where two lines or rays meet; named with a capital letter

Vertex

Vertex

Page 12: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

90 degrees Square corner Little box

Right angle

Page 13: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Less than 90 degrees

Acute Angle

Page 14: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

More than 90 degrees

Obtuse Angle

Page 15: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

180 degrees Straight line

Straight Angle

http://www.youtube.com/watch?v=yptZt9hwrzU&safety_mode=true&persist_safety_mode=1&safe=active

Page 16: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

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 1

Page 17: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Play “Simon Says” with each hand motion that represents a geometric term we learned today!

Activity 2

Page 18: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Lines that pass through the same point

Intersecting Lines

Page 19: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Lines that never intersect

Parallel Lines

Page 20: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Lines that form right angles (90 degree angles)

All perpendicular lines are also intersecting lines!

Perpendicular Lines

Page 21: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 22: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 23: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 24: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 25: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 26: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 27: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 28: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.
Page 29: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 30: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 31: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 32: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

What geometric term is represented?

Page 33: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

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!

Talk and Turn:

Page 34: By Miss O..  The branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures.

Find all the angles