Grades 8-12
Mathematics
Geometry
Standard 1

Students demonstrate understanding by identifying
and giving examples of undefined terms, axioms,
theorems, and inductive and deductive reasoning.


 
Resources
Lesson Plans
Assessments

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

Section References

1.1 
Exploring Optical Illusions

1.2 
Exploring Shapes

1.3 
Exploring Congruence

1.4
Exploring Symmetry

1.5 
Coordiante Geometry and
Noncoordinate Geometry

1.6
Exploring Measure

1.7 
Straightedge and Compass 
Constructions

2.1
Exploring Patterns

2.2 
The Structure of Geometry

2.3 
Segment and Angle 
Relationships

2.4 
Conditional Statements

2.5
Resoning with Properties 
form Algebra

2.6
Deductive Reasoning

Software

Lost Mind of Dr. Brain, 
Sierra ON-Line 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.

Calculuator Reference Site

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



 

Previously Published Data

1.) Students will draw a concept map of the topics discussed. In the concept map, each circle is a concept, and each line is a connection between the two concepts. Each line should have some explanation, such as, a line is made of many points, two lines intersect in one point. 


2.) Students will write their own geometry book, explaining what is meant by undefined terms, axioms, postulates, theorems, inductive and deductive reasoning. They will give examples of each of the above. 
3.) Students will read a Sherlock Holmes, Agatha Christie, or Edgar Allen Poe mystery and write a proof of the conclusion the detective reached.


Previously Published Data

1.) Students will define terms: axiom, theorem, inductive and deductive reasoning. 


2.) Students will write a geometry book with definitions, axioms, and postulates.