Grades 8-12
Mathematics
Geometry
Standard 13

Students prove relationships between angles in polygons
using properties of complementary, supplementary,
vertical, and exterior angles.


 
Resources
Lesson Plans
Assessments

Geometry 
Larson/Boswell/Stiff, 1995, 
D.C. Heath and Company

Section References

4.1 Exploring Congruent Triangles

4.2 Angles of a Triangle

4.3 Proving that Triangles
are Congruent

4.4 More Ways to Prove
that Triangles are
Congruent

4.5 Using Congruent 
Triangles

4.6 Isosceles Triangles and Right Triangles

4.7 Extended Application: Constructions

5.1 Exploring Parts of Triangles

5.2 Special Segments in a Triangle

5.3 Midsegment Theorem

6.1 Exploring Polygons

6.2 Angles of Polygons

6.3 Properties of Parallelograms

6.4 Proving Quadrilaterals
are Parallelograms

6.5 Special Parallelograms

6.6 Trapezoids

6.7 Extended Applications: Congruence and Kites

Software

Measurement in Motion, Learning in Motion 1996
cd mac/windows

Specific Textbook 
Web Sites

http://www.glencoe.com/
sec/math/prealg/mathnet/

http://www.eduplace.com/
links/

http://www.eduplace.com/

http://www.hmco.com/
college/mathematics/
index.html

http://www.mcdougallittell
.com/

http://www.hmco.com/

http://www.SRA-4KIDS.com/

General Math 
Reference Sites

http://www.learner.org/
sami/view-category.php3
?category=math

http://www.score.k12.ca.us/

http://henson.austin.apple
.com/edres/curric.shtml

http://school.discovery.com/
schrockguide/index.html

http://www.EDsOasis.org/

http://www.math.com/

http://www.nea.org/grants/
free.html

http://www.wcom.com/
marcopolo/

http://www.udel.edu/sine/

http://dewey.chs.chico.k12
.ca.us/math.html

Free Stuff

http://www.nea.org/
grants/free.html

State/National Math 
Ed Organizations

http://www.nctm.org/

http://www.cde.ca.gov/

Calif. Dept. of Ed. Standards, Assessment, Ed. Reference. 

Calculator Reference Site

http://www.ti.com/
calc/docs/calchome.html



Previously Published Data

1.) Students will draw several polygons, record the number of sides and the sum of the measures of the interior angles, and find the formula for the sum of the angles, given the number of sides. 


2.) Given the number of sides of a polygon, students will use the formula to find the sum of the interior angles. 
3.) Given the sum of the angles, students will work backwards and find the number of sides. 
4.) Students will measure the exterior angle and the two remote interior angles of many triangles and find the relationship between them. 
5.) Students will measure the angles of inscribed quadrilaterals and find a relationship between the opposite angles.


Previously Published Data

1.) Students will find the sum of the interior angles, given the number of sides. 


2.) Students will find the number of sides, given the sum of the interior angles. 
3.) Given the number of sides, students will find the sum of the exterior angles. 
4.) Students will find the measure of the exterior angles of a triangle, given the interior angles.