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Competency Requirements for Math
Competency Requirements for Mathematics
|4.1||Simplify ratios involving work related ratios.|
Example: Find the gear ratio involving 38 teeth of the
and 22 teeth of the driven gear.
Find the missing number using direct and
Example: Find the diameter of the larger pulley when
the ratio is 4:3
and the smaller pulley has a measurement of three inches.
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?
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.
A student will be able to calculate the precision
and measurement accuracy of a number.
A student will be able to demonstrate the process
of identifying correct wrench size to the nearest
32nd 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 =
Convert standard measurements and
demonstrate what measurements are needed to
complete the conversion process.
Example: 15.5 in/sec. converted to feet/hour.
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?
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
UNIT 6 INTEGERS
The student shall demonstrate competency with a minimum of 80% accuracy.
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
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) =
A student will accurately subtract
integers without use of a calculator.
Example: The temperature was 5 degrees F and dropped to
F below zero , what is the difference in the temperature?
The student will accurately demonstrate the
process of multiplying and dividing integers
without a calculator.
Example: -9 / 3 + 4 x (-3)
The student will demonstrate ability to accurately
simplify a perfect and non -perfect square root while
simplifying an expression .