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Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University e-mail: [email protected]
“Geometry” Is A Verb:
Making Elementary School
Geometry Come Alive
Tad Watanabe
Kennesaw State University [email protected]
Presentation slides and worksheets may be downloaded from:
http://science.kennesaw.edu/~twatanab/
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Using Compass
1 Draw a circle with the following radius:
a) 2 cm b) 3 cm
2 Use your compass to mark off as many 3 cm segments as you can:
3 Which traveling distance is longer, from Takashi’s house to the City Hall or from
Takashi’s house to the School?
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Let's make some beautiful designs. Using your compass, make some designs on the grid paper below.
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Drawing Triangles
1 Let’s think about how to draw an isosceles triangle with sides of 4 cm, 4 cm and 3 cm.
First, draw the 3 cm side.
2 Let’s draw the following triangles:
a) an isosceles triangle with sides of 10 cm, 7 cm and 7 cm.
b) an isosceles triangle with sides of 5 cm, 5 cm, and 6 cm.
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
3 Let’s think about how to draw an equilateral triangle with sides that are 5 cm each.
4 Let’s draw many triangles using radii of the circle shown below.
A
B
C
D
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Drawing Perpendicular and Parallel Lines
1 Draw a pair of perpendicular lines.
2
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
3 The lines below are parallel to each other. Draw several line segments that are
perpendicular to both and measure their lengths.
4
5 Draw a rectangle 5 cm long and 7 cm wide using two set squares.
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Trapezoids, Parallelograms, and Rhombuses
1 Draw a trapezoid by drawing two parallel lines and 2 other lines.
2
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
3
4
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Exploring Diagonals
1 Let’s investigate the characteristics of diagonals in quadrilaterals! a. Compare the lengths of the two diagonals. b. Compare the lengths of the four line segments between the intersection of
the diagonals and the four vertices. c. Compare the angles formed by the two diagonals at the point of
intersection.
Geometry is a verb Workshop @ 2009 NCTM
Tad Watanabe Kennesaw State University http://science.kennesaw.edu/~twatanab/Geometry.pdf
Congruent Triangles
Let’s draw B’C’ that is the same length as BC. Let’s think about different ways we can
find point A’.