Erin JollyErin Jolly

Kennesaw State Kennesaw State UniversityUniversity

HexagonsHexagonsOctagonsOctagonsPolygon ReviewPolygon ReviewGeometry in the Real Geometry in the Real WorldWorldGraph of Shapes in the Graph of Shapes in the RoomRoomTangramsTangramsTangram MovieTangram MovieTangram GameTangram GameTangram ActivityTangram ActivityDid You Like the Did You Like the Activity?Activity?

Table of ContentsTable of Contents Connection to Connection to

National StandardsNational Standards Points, Lines, Points, Lines,

Segments, and RaysSegments, and Rays AnglesAngles PolygonsPolygons DistinguishingDistinguishing CharacteristicsCharacteristics TrianglesTriangles QuadrilateralsQuadrilaterals PentagonsPentagons

Connection to National Connection to National StandardsStandards

44thth Grade Geometry Grade Geometry PS11: FIGURES IN PS11: FIGURES IN SPACESPACE The learner will be able to classify The learner will be able to classify and apply attributes of geometric and apply attributes of geometric shapes. shapes.      ««««««M.4.11.1M.4.11.1 Figures: Make Models/SortFigures: Make Models/Sort

The learner will be able to make models of plane and The learner will be able to make models of plane and solid figures (such as triangles, quadrilaterals, circles, solid figures (such as triangles, quadrilaterals, circles, cones, cylinders, and rectangular prisms) and sort and cones, cylinders, and rectangular prisms) and sort and classify models according to distinguishing classify models according to distinguishing characteristics such as sides, angles, lines of symmetry, characteristics such as sides, angles, lines of symmetry, faces, and edges. faces, and edges.     

««««««M.4.11.2 Points/Lines/Angles: IdentifyM.4.11.2 Points/Lines/Angles: Identify The learner will be able to identify and distinguish The learner will be able to identify and distinguish among points, lines, line segments, rays, and angles.among points, lines, line segments, rays, and angles.

TermTerm DefinitionDefinition ExampleExample

Point A point is an exact location in space.

Line A line is a collection of points that go on and on in both directions. It has no endpoints.

Line segment

A line segment is part of a line. It has two endpoints.

Ray A ray is part of a line. It has one endpoint and continues on and on in one direction.

Intersecting lines

Intersecting lines are lines that pass through the same point.

Parallel lines

Parallel lines are lines that never intersect.

Points, Lines, Segments, and Points, Lines, Segments, and RaysRays

AnglesAngles

Angles

Right Angle Obtuse Angle Acute Angle

An angle that forms a square corner

An angle greater than a right angle

An angle less thana right angle

ShapeShape Is this a Is this a polygon?polygon? Why or why not?Why or why not?

PolygonsPolygonsA polygon is a closed plane figure (2 A polygon is a closed plane figure (2

dimensional) made up of line dimensional) made up of line segments that are connected.segments that are connected.

NO

YES

NO

YES

This figure is not closed.This figure is not closed.

This figure has all of the This figure has all of the requirements.requirements.

This figure is not made up This figure is not made up of line segments.of line segments.

This figure has all of the This figure has all of the requirements.requirements.

Distinguishing CharacteristicsDistinguishing Characteristics

1. Side – 1. Side – a line segment that is part of a polygona line segment that is part of a polygon

2. Angle –2. Angle – two two rays with a common rays with a common endpointendpoint

3. line of 3. line of symmetry –symmetry – a a line on which a figure line on which a figure can be folded so that can be folded so that both sides matchboth sides match

TrianglesTriangles

Polygons with three sides Polygons with three sides are…………..are…………..

TRIANGLES

QuadrilateralsQuadrilaterals

Quadrilaterals are four sided Quadrilaterals are four sided polygons.polygons.

Do you recognize

any of these?

SQUARE RECTANGLE

DIAMOND

Here are some new terms!

TRAPAZOID

PARALLELOGRAM

PentagonsPentagons

Pentagons are five sided polygons.Pentagons are five sided polygons.

Does this look familiar?That’s Right!HOME PLATE

HexagonsHexagons

Hexagons are six sided polygons.Hexagons are six sided polygons.

12

3

4

5

6

OctagonsOctagons

Octagons are eight sided polygons. Octagons are eight sided polygons. Does the word “octagon” remind you Does the word “octagon” remind you

of any other word?of any other word?

An Octopus

has 8 legs!How many legs?

Polygon ReviewPolygon Review

Octagon8 sides

Hexagon6 sides

Pentagon5 sides

Quadrilateral4 sides

Triangle3 sides

Polygons

Click here for extra review

Geometry in the Real WorldGeometry in the Real World

What do you see?

Do you see any triangles?Do you see an quadrilaterals?Do you see any octagons?Do you see any parallel lines?What else do you see?

Click the arrow if you need to review

Graph of Shapes in the RoomGraph of Shapes in the Room

18

32

85 3

0

5

10

15

20

25

30

35

Num

ber

of P

olyg

ons

Foun

d

Triangle Quadrilateral Pentagon Hexagon Octagon

Type of Polygon

We can graph the shapes in our room

TangramsTangrams

Tangrams can help you learn Tangrams can help you learn geometry.geometry.

It is an ancient game that originated It is an ancient game that originated in China.in China.

You create pictures using geometric You create pictures using geometric shapes like triangles, squares, etc.shapes like triangles, squares, etc.

Tangram MovieTangram Movie

Watch this movie to learn more about Watch this movie to learn more about tangrams.tangrams.

Click the movie

button to play!

Tangram GameTangram Game Play this game to build your own tangram!Play this game to build your own tangram!

Click Click herehere for a for a fun tangram gamefun tangram game

1.) Take a set of classroom tangrams.

2.) Make a creative animal with your tangrams.

3.) Trace your shapes, so you have a picture when you remove the tangram pieces.

4.) Make a chart classifying your shapes.

5.) Write a paragraph about your animal answering the following questions:

*What is the name of your animal?

*What does your animal eat?

*What is your animal’s habitat

*What special things can your animal do (ex. Fly, swim, change

color, etc.)?

6.) See if a partner can make your animal with the tangram pieces.

Tangram ActivityTangram Activity(Integrates Math, Science, and Writing)(Integrates Math, Science, and Writing)

Did You Like the Activity?Did You Like the Activity?

No Way8%

Absolutely40%

Not Really20%

Sort of32%

Absolutely Sort of Not Really No Way

Opinion Pie Chart