# MATH 772 Applied Math

COURSE DESCRIPTION:

A course in elementary mathematical skills for technicians. Topics covered include fundamental operations with whole numbers, fractions, decimals, and signed numbers ; percents; geometric figures and basic constructions; area and volume formulas; English/Metric systems; measurements; and the interpretation of graphs and charts.

COURSE COMPETENCIES:
During this course, the student will be expected to:

1. Use numbers in a variety of equivalent forms.

1.1 Read whole numbers, fractions, and decimals.
1.2 List equivalent fractions.
1.3 Convert fractions to mixed numbers (and vice versa).
1.4 Convert fractions to decimals (and vice versa).
1.5 Find common denominators .
1.6 Define percents.
1.7 Convert fractions and decimals to percents (and vice versa).
1.9 Describe the real number line.
1.10 Define absolute value.
1.11 Define exponential notation.
1.12 Define scientific notation.

2. Compute with whole numbers, fractions, decimals, and integers in real world and mathematical solving.

2.1 Apply the four arithmetic operations ( add , subtract , multiply , and divide ) to whole numbers.
2.2 Apply the four arithmetic operations to fractions.
2.3 Apply the four arithmetic operations to decimals.
2.4 Apply the four arithmetic operations to integers.
2.5 Apply the four arithmetic operations to complex fractions .
2.6 Demonstrate the use of exponential notation in computation.
2.7 Demonstrate the use of scientific notation in computation.

3. Use computational techniques appropriate to specific problems.

3.1 Model real-world problems.
3.2 Calculate a solution to the problem .
3.3 Round the answer when necessary.
3.4 Calculate using a calculator.

4. Recognize whether or not an answer is reasonable.

4.2 Determine the reasonableness of the answer.

5. Identify basic geometric figures.

5.1 Identify two dimensional figures and parts.
5.2 Identify three dimensional figures and parts.

6. Demonstrate basic geometric constructions.

6.1 Construct:
a. an angle bisector
b. congruent angles
c. line segment bisectors
d. perpendicular bisector of a line
e. parallel lines
f. perpendicular to a line from a point on the line
g. perpendicular to a line from a point off the line
h. inscribed regular triangle
i. inscribed regular square
j. inscribed regular hexagon
k. inscribed regular pentagon
l. congruent triangles
m. a triangle given three sides
n. altitude of a triangle
o. center of balance of a triangle
p. inscribed circle in a triangle
q. a circumscribed circle about a triangle

7. Apply geometric properties and relationships in real-world and mathematical problem solving.

7.1 Demonstrate the properties of:
a. parallel lines and a transversal line
b. vertical angles
d. perpendicular lines
e. complementary angles
f. supplementary angles
g. corresponding angles
h. alternate exterior
i. interior angles
7.2 Use the Pythagorean theorem.
7.3 Use similarity in solving applied problems
7.4 Demonstrate the relationships between central angle, arcs, and inscribed angles.
7.5 Explain the intersection of lines and circles.
7.6 Calculate the angles formed by circles and lines.
7.7 Use a protractor to measure angles.

8. Use geometric formulas to solve problems.

8.1 Calculate the measure of an angle in both degrees and radians.
8.2 Calculate the area and volume of plane figures.
8.3 Calculate lateral surface area, total surface area and volume of geometric solids (prisms, cylinders, pyramids, cones, and spheres).

9. Convert measurements within the metric and English systems and between systems.

9.1 Identify the units in the English and Metric systems.
9.2 Convert within the English System.
9.3 Convert within the Metric System.
9.4 Convert between Metric and English Systems.
9.5 Model dimensional figures.
9.6 Calculate answers to dimensional figures.

10. Use appropriate units and tools to measure to the degree of accuracy required in a particular situation.

10.1 Calculate answers to the correct degree of precision.
10.2 Calculate answers to the correct degree of precision.
10.3 Calculate the greatest possible error.
10.4 Demonstrate measurement using calipers and micrometers.
10.5 Find the tolerance al lowed for measurements .

11. Interpret scales to the degree of accuracy required in a particular situation.

11.1 Interpret circular scales.
11.2 Interpret uniform and nonuniform scales.
11.3 Demonstrate the use of the color codes in reading the value of electrical resistors.

12. Interpret graphs and charts.

12.2 Interpret data.
12.3 Analyze data.
12.4 Create graphs/ charts to depict given data.
a. Bar
b. Line
c. Circle

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