Quadrilaterals Presented by: The Mathematics and Science Center

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

6 Richmond, Virginia

7 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 Up Both 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 SQUARESQUARE 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: The Aleph by Marjorie Mikasen: Definitions from Webster’s Dictionary: Properties of Quadrilaterals lesson plan from: Switzerland Architecture from: