SKMA 103 - Applied Geometry and Trigonometry

Credits: 4

Includes the following geometry topics: angles, triangles, polygons, circles, prisms, cylinders, and cones. Includes right-triangle trigonometry, radian measure, oblique-triangle trigonometry, and graphs of trigonometric functions. May receive credit in only one of the following: SKMA 103, MTH 103, or MT 110.

Prerequisite(s): MATH LEVEL 4
Corequisite(s): None
Lecture Hours: 60 Lab Hours: 0
Meets MTA Requirement: None
Pass/NoCredit: No

Outcomes and Objectives

Define and identify the characteristics of and solve problems related to plane figures (angles, parallel lines, triangles).
1. Define basic terminology of angles (acute, right, obtuse, straight, complementary and supplementary angles).
2. Measure angles with a protractor.
3. Define basic terminology of angles formed by parallel lines cut by a transversal (corresponding alternate interior and exterior angles.)
4. Define the characteristics of triangles and their properties (altitude, medians, vertex, and sides).
5. Express an understanding of and identify the characteristics of congruent and similar triangles.
6. Relate to the work place operations.
Define and identify the characteristics of and solve problems related to Polygons (triangles, squares, rhombus, rectangles, parallelograms, trapezoids and multi-sided polygons).
1. Use the proper formula for determining area of polygons (square measure).
2. Determine the measure of interior angles by using diagonals.
3. Relate to the work place operations.
Define and identify the characteristics of right, isosceles, equilateral and 30? - 60? - 90? triangles.
1. Know and apply the Pythagorean Formula in solving right triangle problems.
2. Solve problems involving similar triangles (tapers).
Define and identify the characteristics of a circle (chords, central angles, inscribed, segments and sectors).
1. Demonstrate the relationships between the diameter, radius, and circumference of a circle (? value).
2. Solve problems involving area of circles, sectors, and segments.
3. Determine arc lengths by using proportions.
Define and identify the characteristics of an eclipse (enter, major and minor axes).
1. Solve problems involving area and circumference of an eclipse.
2. Express uses of eclipses in everyday situations (orbits, racetracks, buildings, and cutting pipes).
Define and identify the characteristics of geometric solids (prisms, cylinders, pyramids, cones, frustrums, spheres, torus, prisimatoids).
1. Use proper formulas to determine surface area of all geometric solids.
2. Use proper formulas to determine volume of all geometric solids.
3. Figure a cost factor with respect to volume and materials (surface area) of various geometric solids (cylinders, cones, spheres, cubicle containers).
4. Relate to the work place operations.
Define and apply the six trigonometric ratios.
1. Express the relationship between the sides of a right triangle and the six trigonometric ratios.
2. Evaluate the six trigonometric ratios and their inverses with a calculator.
3. Apply the six trigonometric ratios to right triangle problems.
4. Relate to the work place operations.
Solve oblique triangles.
1. Solve oblique triangles using the Law of Sines.
2. Solve oblique triangles using the Law of Cosines.
3. Relate to the work place operations.