Sillaby Of Plane Geometry Major Mathematics Education Semester 2/II

Faculty                   : MIPA
Study Program       : Mathematics Education
Course & Code       : Plane Geometry,
Credit Hours       : Theory : 2 credits
Semester            : II
Prerequisites & Code : -
Lecturer             : Himmawati P.L, M.Si.

I.         COURSE DESCRIPTION

The  study  of  Geometry  includes  plane  geometry:  points,  lines,  plane,  angle,  triangle,  congruence, geometric inequalities, quadrilateral, area and perimeter, similarity, Pythagorean theorem, polygon, and circle.

II.       COURSE  BASED COMPETENCY

The students will be able to explain concepts and properties of geometric figures, and use them to solve problems either in mathematics or in other courses.

III.      ACTIVITY PLAN

Week	Based Competency	Main Materials	Lecturer Strategy	Refereces
1	Basic            geometry objects	Undefined term, segment, ray, midpoint, relation between undefined terms	Discussion & presentation	A: 1-4 B: 37-42 C: 26-58 E: 3-23 F: 13-22
2	Basic            geometry objects	axioms  and  theorems  related  to the undefined terms	Discussion & presentation	A: 1-4 B: 37-42 C: 26-58 E: 3-23 F: 13-22
3	Angles	Definition, type, special pairs of angles	Discussion & presentation	A: 5-7 B: 45-50 C: 59-101 F: 23-28, 37-50
4	Triangles	Definitions, type, special lines	Discussion & presentation	A: 9-12 B: 71-80 C: 102-160 E: 24-67 F: 51-58
5	Congruence	Definition, congruent triangles, theorems, application	Discussion & presentation	A: 35-47 B: 83-89 C:102-160 D:221-236 F: 59-66
6	Geometric inequalities	Inequalities        in        geometry, especially in triangle	Discussion & presentation	A:219-224 B: 92-98 C:161-205 D:215-219
7	Parallelism	Special pairs of angles if 2 lines cut by transversal	Discussion & presentation	A: 1-4 B: 37-42 C: 26-58 E: 3-23 F: 13-22
8	Quadrilateral	Definition,   type,   properties   of quadrilaterals	Discussion & presentation	A: 74-89 B:112-121 F: 85-92
9	Area and perimeter	Definition, area and perimeter of geometric figures	Discussion & presentation	A:160-174 B:131-143 C:392-424 D:422-437 E:126-161 F:103-120

10	Similarity	Definition,     similar     triangles, theorems, application	Discussion & presentation	A:116-149 B:153-173 C:265-318 D:578-590 F:93-102
11	MIDTERM
12	Pythagorean theorem	Pythagorean Theorem, Projection theorem,  Stewart  theorem, median theorem, heron theorem	Discussion & presentation	A:134-135 B:185-158 C:410-424 D:478-488 F:67-76
13	Polygons	Definition, type, properties	Discussion & presentation	A:175-190 B:54-55 C:367-424 D:256-286 F:77-84
14	Polygons	Regular polygon	Discussion & presentation	A:175-190 B:54-55 C:367-424 D:256-286 F:77-84
15	circle	Definition, elements, properties	Discussion & presentation	A:90-115, 180-183 B:145-146, 207-235 C:425-497 D:310-339 E:68-119 F:135-138
16	Circle	Relation between line & circle, relation between 2 circles, area, perimeter	Discussion & presentation	A:90-115, 180-183 B:145-146, 207-235 C:425-497 D:310-339 E:68-119 F:135-138

IV.      REFERENCES

A. Barnet Rich. 1963. Schaum’s outline of Theory and Problems of Geometry. Mc-graw Hill: New York

B.  David Alan Herzog. 2004. Geometry. Wiley Publishing: New Jersey

C.  Keedy, M.L etc. 1967. Exploring Geometry. Holt, Rinehart and Winston: New York

D.  Serra, Michael. 2008.Discovering Geometry: An Investigation Approach. Key Curriculum Press

E.  Slavin, Steve and Crisonino Ginny. 2005. Geometry, A Self-Teaching Guide. Jon Wiley & Sons: New Jersey

F.  Team-LRN. 2005. Geometry Success In 20 Minutes A Day 2nd Edition. LearningExpress,LLC: New York

Suggested reference books :

Coxeter, H.S.M. (1969). Introduction to Geometry. New York : John Wiley. Travers, K. (1987). Geometry. Homewoods, IL : Laidlaw Brothers.