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NONCREDIT COURSE OUTLINE: HSMTH 30
Last Revised and Approved: 11/06/2009
HSMTH 30 - GEOMETRY ESSENTIALS
Total Hrs Lecture
50.00
0.00
Total Hrs Lab
Total Course Hrs
Total Student Hrs
High School Credits
COURSE DESCRIPTION
Geometry Essentials is intended for students with little or no previous geometry experience. Topics include segments and angles,
triangles, parallel and perpendicular lines, polygons, special quadrilaterals, the coordinate plane, circles, area, and volume. This
course incorporates many of the skills and techniques outlined in the Secretary's Commission on Achieving Necessary Skills
(SCANS) report as "fundamental skills" and "workplace competencies." (May be repeated once.)
ENROLLMENT RESTRICTIONS
PREREQUISITES
COREQUISITES
ADVISORIES
OUTLINE OF COURSE CONTENT
The course will address the following topics:
I. Segments and angles
A.
Points, lines, and planes
B.
Lengths and midpoints of segments
C.
Congruence and addition properties of segments
D.
Angles, classifying angles, and special pairs of angles
II. Triangles and transformations
A.
Classification of triangles
B.
Exterior and interior angles of a triangle
C.
Squares and square roots
D.
Pythagorean theorem and right triangles
E.
Transformations (translation, rotation, and reflections)
III. Congruent and similar triangles
A.
Parts of congruent triangles
B.
Methods to identify congruent triangles
C.
Isosceles triangle properties
D.
Ratio and proportion
E.
Properties to identify similar triangles
IV. Parallel and perpendicular lines
A.
Parallel and perpendicular lines--definitions
B.
Angles formed by intersecting lines
V. Polygons
A.
Parts of polygons
B.
Classifying polygons
C.
Angle measures in polygons
D.
Special quadrilaterals
E.
Midpoint segments
VI. Coordinate geometry
A.
Ordered pairs and graphing
B.
Distance formula
C.
Midpoint formula
MIRACOSTA COLLEGE
HSMTH 30 COURSE OUTLINE
--FOR COMPLETE OUTLINE OF RECORD SEE MCC WEBCMS DATABASE-Page 1 of 3
50.00
99.50
5.00
NONCREDIT COURSE OUTLINE: HSMTH 30
Last Revised and Approved: 11/06/2009
D.
E.
Slope of a line
Polygons with parallel and perpendicular lines
VII. Circles
A.
Parts of a circle
B.
Secants and tangents
C.
Arcs, angles, and chords
D.
Lengths of segments in a circle
E.
Circumference
VII. Area and volume
A.
Square units
B.
Quadrilaterals
C.
Area of a circle
D.
Volume of prisms
E.
Volume of cylinders
PERFORMANCE OBJECTIVES
Upon successful completion of this course, students will be able to do the following:
1). Classify points, lines, and planes using appropriate symbols
2). Identify location, length, and midpoint of segments
3). Apply congruence and addition properties of segments and angles
4). Calculate angle measurement using properties of special angles (i.e., vertical, complementary, and supplementary)
5). Classify triangles by sides and/or angles
6). Calculate the exterior and interior angles of a triangle
7). Calculate squares and square roots of rational numbers (simplify)
8). Use the Pythagorean Theorem to determine distance and find missing lengths of sides of right triangles
9). Recognize the three basic transformations (translation, rotation, and reflection)
10). Identify corresponding parts of congruent triangles
11). Apply the correct congruency theorems to identify congruent triangles
12). Use isosceles triangle properties
13). Determine if and why triangles are similar
14). Solve problems involving similar triangles
15). Apply the properties of parallel and perpendicular lines to solve problems
16). Calculate angle measure in convex and regular polygons
17). Identify special quadrilaterals, such as parallelograms, rectangles, rhombuses, squares, and trapezoids
18). Use the properties of midpoints and medians to solve problems
19). Calculate distance and midpoint location using the appropriate formula
20). Calculate the slope of a line
21). Identify the slope of a line as positive, negative, zero, or undefined
22). Solve problems regarding relationships among chords, secants, tangents, arcs, and angles of circles
23). Calculate the perimeter, circumference, area, and volume of various two- and three-dimensional figures.
ASSIGNMENTS
Assignments will be consistent with, but not limited by, the following types and examples:
1). Practice classifying points, lines and planes using appropriate symbols
2). Practice using the Pythagorean Theorem to determine distance and finding missing lengths of sides of right triangles
3 Practice applying the properties of parallel and perpendicular lines to solve problems
4). Practice calculating distance and midpoint locations using the appropriate formula
5). Practice solving problems regarding relationships among chords, secants, tangents, arcs and angles of circles.
Outside-of-class assignments are required and may include, but will not be limited to, the following:
1). Complete homework assignments from the textbook and teacher-generated worksheets
2). Write solutions to take-home test problems using logical, well-organized steps.
MIRACOSTA COLLEGE
HSMTH 30 COURSE OUTLINE
--FOR COMPLETE OUTLINE OF RECORD SEE MCC WEBCMS DATABASE-Page 2 of 3
NONCREDIT COURSE OUTLINE: HSMTH 30
Last Revised and Approved: 11/06/2009
STUDENT LEARNING OUTCOMES
Learning Outcome
Mode of Assessment
1. Identify, define, and apply geometric vocabulary and
symbols.
1. Written examinations requiring the student use geometric
vocabulary and symbols.
2. Apply deductive and inductive reasoning strategies to solve
geometric problems.
2. A written performance task e.g., word problem, will be
assessed utilizing a departmental rubric.
3. Incorporate geometric figures into problem solving.
3. A written performance task e.g., word problem, will be
assessed utilizing a departmental rubric.
METHODS OF INSTRUCTION
Instructional methodologies will be consistent with, but not limited by, the following types or examples:
1). Direct instruction
2). Investigation
3). Classroom discussion and drill
4). Small groups
5). Individualized formats
6). Hands-on material
METHODS OF EVALUATION
Evaluation methodologies will be consistent with, but not limited by, the following types or examples:
1). Homework
2). Unit tests
3). Participation and contributions to class activities.
REQUIRED TEXTBOOKS
Examples of typical textbooks for this course include the following:
1). Fitting, Majorie J., and Mary Lee Vivian. Introduction to Geometry Homework Booklet. Instructional Fair, 1999. ISBN: 0880129468
OTHER REQUIRED INSTRUCTIONAL MATERIALS
1). Scientific calculator
2). Graph paper
COURSE REPEATABILITY
Total Completions Allowed:
In Combination With:
2
MIRACOSTA COLLEGE
HSMTH 30 COURSE OUTLINE
--FOR COMPLETE OUTLINE OF RECORD SEE MCC WEBCMS DATABASE-Page 3 of 3