Type of Class:  Honors Geometry 

Related VA SOL: G.8 a

Time Frame: 90-minute block period

Objectives:

• Students will be able to recognize different types of quadrilaterals.
• Students will know properties of quadrilaterals.
• Students will be able to construct different types of quadrilaterals using Geometer’s Sketchpad.
   

Materials:

·        Geometer’s Sketchpad 4.0

·        Paper/pencil

·        Popsicle sticks

·        Colored yarn

·        Glue

·        Classifyingquad.gsp

·        Quadrilateral.gsp

·        Worksheet

Procedures:

1.      Do worksheet #1 using Geometer’s Sketchpad.[1]

a.       Definition of quadrilateral (Concept Attainment)

Quadrilateral is a polygon with four sides.

b.      Properties of quadrilaterals

c.       Classifying quadrilaterals

d.      Exploring quadrilaterals

e.       Constructing quadrilaterals

2.      Art and Crafts[2]

a.       Place a drop of glue on the middle of one popsicle stick.

b.      Take another stick and place it perpendicular to the glue stick.

c.       Tie a piece of yarn around one of the stick closest to the middle.

d.      In a clockwise direction, take the yarn and wrap the next stick around once, then go to other stick.

e.       Repeat this step. You can use different colors

(History: This artwork is a kind of folk art borrowed from the Pueblo and Mexican Indians. It is crafted by weaving various colored yarns onto sticks into many shapes and designs. Today, in the United States, these designs are still a part of the art and tradition of the Pimas and some of the Pueblo people.)

3.      Exploring the artwork:[3]

a.       Let the quadrilateral ABCD be the bigger or outer shape and let quadrilateral WXYZ be the smaller or inner shape.

b.      Which sides appear to be congruent?

c.       Which sides appear to be parallel?

d.      What appears to be true about the measures of angles A, B, C, and D?

e.       What do you need to measure to prove that ABCD is a rectangle? a square?

f.        If ABCD is a square, what can you conclude about the diagonals?

g.       List the geometric shapes you can find in your artwork.

Assessment:

You can use the artwork as part of your assessment. You can ask additional questions such as, “Name adjacent angles”. Another assessment is making a worksheet with about 10 to 15 different quadrilaterals and have students circle all parallelograms, then all rectangles, then all rhombi, then all squares, and then all trapezoids. Next, you can have students name the adjacent sides, consecutive angles, and opposite sides and angles of each quadrilateral.

Suggestions/Comments:

          Though this lesson is created for Honors Geometry, it can be used in other levels of Geometry.