Informal Geometry
1 credit
Prerequisite: Algebra A and Algebra B
Goals: To explain the concepts found in geometry and apply them in problem-solving
situations
Course Description: Informal geometry covers the basic geometric concepts of parallel
lines, triangles, polygons, circles, and transformations in a step-by-step approach.
Definitions, postulates, axioms, and theorems are included without the proofs. Problem
solving applications and constructions are also included.
Text: Geometry
Author: Siegfried Haenisch
Publisher: AGS Publishing
ISBN: 0-7854-3830-0 (teacher)
ISBN: 0-7854-3829-7
Copyright: 2005
Assessment: Daily Work
67%
Tests
33%
The work is completed in class daily with a test every Friday.
Course Outline:
First Quarter
Points, lines, and planes
Ruler postulates
Copying and bisecting angles
Complementary and Supplementary Angles
If. . . then statements
Euclid’s five postulates
Axioms
Parallel Lines
Transversals
Constructions of parallel lines
Second Quarter
Quadrilaterals
Trapezoids
Horizontal and vertical lines
Slope of a line
Equations of a line
Finding midpoints of segments
Naming triangles by sides and angles
Special quadrilaterals and their diagonals
Angle sum of any triangle
Concave and convex polygons
Third Quarter
Constructing perpendiculars
Altitudes, angle bisectors, and medians
Corresponding parts of congruent figures
SAS postulate
SSS, SAS, and ASA congruencies and constructions
AAS congruency
Right triangles and H-L congruency
Reflections in the coordinate plane
Symmetries
Slides and translations
Rotations
Tessellations
Similar figures and proportions
Fourth Quarter
Angle measure in regular polygons
Enlarging geometric figures
Shrinking geometric figures
Pythagorean triples
Pythagorean theorem
Perimeters of polygons
Area of squares, rectangles, parallelograms, trapezoids, and triangles
Defining a circle
Area of a circle
Angles and sectors of circles
Tangents, circumcircles, and incircles
Sine, cosine, and tangent
Define a sphere
Volume and surface area of a sphere
Volume of a pyramid and a cone
Surface area of prisms, cylinders, pyramids and cones