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Competency Requirements for Math
Competency Requirements for Mathematics
UNIT 4 RATIO AND PROPORTIONS
The student will demonstrate competency in simplifying ratios and solving
proportions with a minimum of 80% accuracy.
4.1  Simplify ratios involving work related ratios. 
Example: Find the gear ratio involving 38 teeth of the
driving gear
and 22 teeth of the driven gear.
4.2 
Find the missing number using direct and inverse proportions. 
Example: Find the diameter of the larger pulley when
the ratio is 4:3
and the smaller pulley has a measurement of three inches.
4.3 
Convert quickly and accurately between decimals, fractions, and percentages. 
Example: .25 = 25% ¼ = 25% or .25
4.4  Solve problems involving a missing portion. 
Example: Smith Company has a gross income of $85,000.
If 34% of
the company’s income goes to taxes, how much will the Smith
Company have left?
4.5 
Solve problems involving efficiency ratio, tolerance ratio, etc. 
Example: Find the efficiency of the engine with an
output of 85 HP
and an input of 70HP.
UNIT 5 MEASUREMENT CONVERSIONS
A student demonstrate competency in completing standard and metric conversions
with 80% accuracy. The student shall also demonstrate competency in accurately
measuring while using instructor assigned measuring devices.
5.1 
A student will be able to calculate the precision and measurement accuracy of a number. 
Example: 2.04 inches is precise to the hundredths and
accurate to
three significant digits .
5.2 
A student will be able to demonstrate the process of identifying correct wrench size to the nearest 32^{nd} of an inch, and determine degree of error involved in using a fractional verses a decimal measurement . 
Example: .432 x 32 = 13.824 = 14/32 inch. Error (14 –
13.824)/ 32 =
.0055 inch.
5.3 
Convert standard measurements and demonstrate what measurements are needed to complete the conversion process. 
Example: 15.5 in/sec. converted to feet/hour.
5.4 
Convert standard measurements to the metric system equivalent . 
Example: 12 inches equals how many centimeters?
5.5  Convert metric measurements 
Example: How many centimeters are equivalent to 2.3 meters?
5.6 
A student will be able to measure various parts using the measurement tools of a standard and metric tape measure as well as a standard and metric measurement micrometer. 
Example: Measure the thickness of a part accurate to
the
thousandths.
UNIT 6 INTEGERS
The student shall demonstrate competency with a minimum of 80% accuracy.
6.1 
A student will demonstrate an understanding of an integer by accurately placing coordinates on a given number line. 
Example: Place the set of numbers on a number line and
state which
number is the smallest and which is the largest.
( 3, 8, 4, 0, 1 )
6.2  Consistently add integers without using a calculator. 
Example: 4 + (8) + (6) =
6.3 
A student will accurately subtract integers without use of a calculator. 
Example: The temperature was 5 degrees F and dropped to
3 degrees
F below zero , what is the difference in the temperature?
6.4 
The student will accurately demonstrate the process of multiplying and dividing integers without a calculator. 
Example: 9 / 3 + 4 x (3)
6.5 
The student will demonstrate ability to accurately simplify a perfect and non perfect square root while simplifying an expression . 
Example:
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