Kingdom of Quadrilaterals Makayla Albers Karoline Stitsworth
Instructions
This book is designed for 6th grade level students. The contents of this book cover the standard: MA.G.3.1 2000Â Describe, classify, and understand relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite.Â
i
Introduction
ii
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.
1 King Square
4
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.
In the kingdom, it is “National Quadrilateral Day�, and every shape is dancing and celebrating their four straight sides and four angles.
6
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?
7
2 The Parallelogram
8
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.
9
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.
10
11
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
12
3 The Rhombus Family
Family Members: Mr. Rhombus Mrs. Rhombus Johnny Rhombus
13
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.
14
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.
15
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.
16
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
17
4 The Rectangle Family
Family Members: Mr. Rectangle Mrs. Rectangle Greg Rectangle Georgina Rectangle
18
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
19
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/i ndex.html
20
5 The Trapezoid Family
Family Members: Mr. Trapezoid Mrs. Trapezoid
21
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).
22
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
23
Conclusion
xxiv
Thank you so much for putting our kingdom back together! All the families are back together and happy again.
xxv
Credits
Castle Picture from Medieval Archives Shape 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
xxvi