Makayla AlbersKaroline Stitsworth

Kingdom of Quadrilaterals

Instructions

i

This book is designed for 6th grade

level

students. The contents of this book

cover the standard:

MA.G.3.1 2000 Describe, classify,

and understand relationships

among the

quadrilaterals square, rectangle,

rhombus, parallelogram, trapezoid,

and kite. 

Introduction

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In a faraway land there exists a

kingdom of quadrilaterals.

You are about to

embark on a journey through this

mathematical kingdom. King

Square, the leader of the

kingdom, will help you as you

travel. Do you have what it takes to

complete the journey?

Read on and find out.

King Square1

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Hello! I am King Square. I am so

happy you decided to visit

my kingdom.

Here in quadrilateral kingdom

all of the residents are

quadrilaterals. That means that they

all have four sides,

four angles, and four vertices also

called corners. This is very important

to remember as you complete your

quest.

6

In the kingdom, it is “National

Quadrilateral Day”, and every

shape is dancing and celebrating

their four straight sides and four

angles.

7

Now for your task: you have a very

important job. There has been a

terrible tragedy in the kingdom.

After the big National

Quadrilateral Day celebration

many families were mixed

together and some members were

separated from their families.

I need your help to help the missing

shapes reunite with their families.

Do you think you can do it?

The Parallelogram2

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The first step you must do is learn

about parallelograms. Many of the

quadrilaterals here in my

kingdom are parallelograms. In a

parallelogram

the opposite sides are the same

length. The opposite angles are the

same measure of degrees.

Also the opposite sides are parallel

which means they

will never touch each other.

10

Notice in this image how

parallelogram is one of the two

main groups of quadrilaterals.

As you continue

to journey through the kingdom

it is important to remember

that many of those families are

from the parallelogram so you

can accurately find their

missing family member.

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To help you understand the

parallelogram’s properties click on the

link below. It will show you a

parallelogram. You can move any

corners on the parallelogram

and notice how the opposite sides

are always parallel and how the

angles change

to match the opposite angles.

http://www.mathopenref.com/parallelogram.html

The RhombusFamily

3

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Family Members:

Mr. Rhombus

Mrs. Rhombus

Johnny Rhombus

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The first family in need is the

Rhombus family. Little Johnny

Rhombus has been separated from

his mom and dad.

Help Mr. and Mrs. Rhombus

reconnect with their Johnny.

15

The Rhombus Family have specific

properties that all their family

members have. Look at the diagram on

the following page.

The picture shows what the

Rhombus Family looks like so you

can find Little Johnny.

16

A rhombus has all sides of equal

length. Also opposite sides are

parallel and opposite angles are

equal. The pictures below shown the

parallel sides and equal angles.

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Click on the link below. It will take you

to a game where you must guide the

Rhombus bird through the Tutorial

and Level 1. Little Johnny is riding on

the bird and after you complete

Level 1 Johnny will be reunited

with his family!

*It is important that you only play

through Level 1 because there are

other families in need!

http://games144.com/game/29026-rhombird-game.php#play

The RectangleFamily

4

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Family Members:

Mr. Rectangle

Mrs. Rectangle

Greg Rectangle

Georgina Rectangle

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The Rectangle family is all very

worried about their missing family

member, Georgina. To help you

find Georgina watch this video and

learn about the properties of the

rectangle family.

Properties of Rectangles

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The Rectangle family can see

Georgina on the other side of the

forest. Georgina is the red dot and

her family is waiting for her at the

bright star. Click on the link below

to help Georgina navigate through

the maze paths to her family.

http://www.coolmath-games.com/0-maze/index.html

The TrapezoidFamily

5

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Family Members:

Mr. Trapezoid

Mrs. Trapezoid

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A trapezoid has straight sides and has

a pair of opposite sides that are

parallel. The sides that are parallel are

called bases. The other sides are legs

(which may or may not be parallel).

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Mr. and Mrs. Trapezoid have been

separated! Click on the link below

and complete the matching game to

help find Mr. Trapezoid.

In this game you must match the

picture with the word of the shape.

http://www.mathplayground.com/match

ing_shapes.html

Conclusion

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Thank you so much for putting

our kingdom back together! All

the families are back together

and happy again.

Credits

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Castle Picture from Medieval ArchivesShape people from Mrs. Black Bees

Shapes on conclusion and introduction pages

from ClipArt

Border created by Karoline Stitsworth

King Square created by Karoline Stitsworth

Celebration picture from Wake Up World

Moving parallelogram from Math Open Reference

Properties of Rectangles video from YouTube

Polygon Matching Game from Math Playground

Rhombus Bird Game from Games 144

Rhombus image from Math is Fun

Quadrilateral tree from Math Forum