quadrilaterals presented by: the mathematics and science center

QuadrilateralsPresented by: The Mathematics

and Science Center

http://mathinscience.info 2

What is a Quadrilateral?

A quadrilateral is a polygon with four

sides. In other words: a four sided shape.


Where can quadrilaterals be found?

• Art• Architecture• All around us


What shapes do you see?

The Aleph by Marjorie Mikasen


Switzerland Architecture


Richmond, Virginia


Complete the Quadrilateral Hunt

• How many quadrilaterals can you find?

• What different types of quadrilaterals can you find?

• Make sure you include all of the quadrilaterals.


Turn to page two in your packet and complete the

chart as you follow along.

What is a parallelogram?


A parallelogram is:

A quadrilateral with opposite sides

parallel and equal

What is a Rectangle?


A Rectangle is:

A parallelogram with four right angles.

What is a rhombus?


A Rhombus is:

A parallelogram with four equal sides.

What is a Square?


A Square is:

A parallelogram with four right angles and

four equal sides.

What is a Trapezoid?


A Trapezoid is:

A quadrilateral with only two sides parallel.


Group Work

Directions: 1. Given a set of quadrilaterals, first match each

quadrilateral to its correct name. 2. Next, measure the lengths of the sides and the

angles of all of the quadrilaterals and record your findings in the Property Table (p.3 packet).

3. Using your Property Chart match each specific quadrilateral with one property.

4. Write your findings on the Property Match Up worksheet (p.4 packet), and be prepared to also

place your findings on a class chart.


Property Match UpBoth pairs of

opposite sides are

congruent. (the same)

All sides are the same

length.

Both pairs of opposite

angles are congruent (the

same).

All angles are 90 degrees.

Only one pair of opposite sides are parallel.

Parallelogram

Rectangle

Rhombus

Square

Rhombus

Square

Parallelogram

Rectangle

Rhombus

Square

Rectangle

Square

Trapezoid


Venn Diagram

Directions: • Complete the Venn Diagram located on p.5 of

your packet. • Write the name of each quadrilateral in one

section of the diagram (excluding trapezoid). • Please write in pencil in case you need to

change your answer. • Think about which shapes have the most

properties while you are deciding where the shapes belong.


Quadrilateral Venn Diagram

RECTANGLE RHOMBUS

SQUARE

PARALLELOGRAM

23

Directions for Artwork

• Tie three pieces of yarn end-to end. Short-Medium-Long.

• Tie one end of the yarn around one stick closest to the middle.

• In a clockwise direction,wrap the yarn around the next stick once, then go to another stick and repeat.

• When you are out of yarn or out of space, tie the end of the yarn to a piece of yarn that is already secure.

• After your artwork is complete, answer the questions on the Exploring Your Artwork worksheet (p. 5 packet)

Wrapping it up!

Is a square a rectangle?

Is a rectangle a rhombus?

Is a rhombus a square?

Is a rectangle a square?

Is a rhombus a rectangle?

Is a square a rhombus?

Is a square a parallelogram?

Is a trapezoid a parallelogram?


References

• Quadrilateral lesson plan from:

http://www.teach.virginia.edu/teacherlink• The Aleph by Marjorie Mikasen:

http://chem-mgriep2.unl.edu/MikPages• Definitions from Webster’s Dictionary:

http://www.webster.com• Properties of Quadrilaterals lesson plan from:

http://www.iit.edu/~smile/ma8917.html• Switzerland Architecture from:

http://www.bamjam.net/Switc/Archi.html

http://www.teach.virginia.edu/teacherlink

http://chem-mgriep2.unl.edu/MikPages

http://www.webster.com/

http://www.iit.edu/~smile/ma8917.html

http://www.bamjam.net/Switc/Archi.html

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