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Perform basic operations with real numbers
Assessment Strategies
in an oral, written, or graphic product
Criteria
perform the arithmetic operations in proper sequence
simplify expressions using the laws of exponents
evaluate numeric expressions containing exponents
convert numbers between decimal notation and scientific and/or engineering notation·
perform arithmetic operations with numbers in scientific notation
calculate powers and roots with numbers in scientific notation
express angles in radian, degree, or revolution measurement
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. show work in a clear and logical manner, verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve linear equations
Assessment Strategies
in an oral, written, or graphic product
Criteria
solve linear equations in one variable
rearrange a formula to solve for an indicated first-degree variable
represent unknown(s) with a variable and translate English phrases into equations
substitute given number for variables into formula or equation
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve problems using percent and proportion
Assessment Strategies
in an oral, written, or graphic product
Criteria
perform conversions among fractions, decimals, and percent
write an equation representing the problem
solve the equation
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve variation problems
Assessment Strategies
in an oral, written, or graphic product
Criteria
identify the type of variation
write the variation equation
solve direct variation problems
solve inverse variation problems
solve joint and combined variation problems
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Perform operations on polynomials
Assessment Strategies
in an oral, written, or graphic product
Criteria
add, subtract, multiply, and divide polynomials
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Factor algebraic expressions
Assessment Strategies
in an oral, written, or graphic product
Criteria
factor using the greatest common factor
factor binominals and trinominals
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve quadratic equations over the set of real numbers
Assessment Strategies
in an oral, written, or graphic product
Criteria
identify coefficients of a quadratic equation in standard form
select appropriate method for solving second degree equations
generate the equation which satisfies the conditions of the problem
solve second degree equation using the selected method
select relevant solution(s)
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Perform operations with rational expressions
Assessment Strategies
in an oral, written, or graphic product
Criteria
add, subtract, multiply, and divide rational expressions
apply skill to an applied technical problem
simplify complex fractions
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve rational equations
Assessment Strategies
in an oral, written, or graphic product
Criteria
apply multiplication property to clear all denominators
solve equations
identify extraneous solutions
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Graph algebraic functions
Assessment Strategies
in an oral, written, or graphic product
Criteria
determine ordered pairs from a given graph
differentiate a function from a relation
utilize function notation
identify range and domain of a given function
graph linear and quadratic functions on the Cartesian plane
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Relate the equation of a line to its graph
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate the distance between two points
calculate the slope of a line given two points on the line
determine the slope of a line parallel to a given line
determine the slope of a line perpendicular to a given line
write the equation of a line using the slope-intercept form, the point-slope form, or the two-point form
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve systems of equations
Assessment Strategies
in an oral, written, or graphic product
Criteria
solve systems of two and three equations or formulas
check all solutions in the system
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Convert units of measure
Assessment Strategies
in an oral, written, or graphic product
Criteria
convert within SI (metric)
convert within USCS (United States Customary System)
convert between USCS and SI units
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Compute angle measures, length of sides, perimeter, and area of plane geometric figures
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate the measure of the specified angle(s) of polygons
calculate the circumference, perimeter, and area of plane figures including composite figures
calculate a specified side of similar polygons
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Calculate surface area, volume, and weight/mass
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate the surface area of solids
calculate the volume of solids
you identify the density of a given material
calculate the weight/mass of a solid or liquid
apply skill to technical problems
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve right triangles
Assessment Strategies
in an oral, written, or graphic product
Criteria
use the angle-sum principle to compute the third angle of a triangle
use the Pythagorean Theorem to compute a side of a right triangle
use sine, cosine, and tangent ratios to compute sides and/or angles of right triangles
apply skill to technical problems such as vectors
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)
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Solve oblique triangles
Assessment Strategies
in an oral, written, or graphic product
Criteria
use the Law of Cosines, Law of Sines, and right triangle methods when appropriate
relate angle in standard position to its reference angle
apply skill to technical problems such as vectors
utilize appropriate technology
apply the process for solving technical problems according to the problem-solving criteria (i.e. you show work in a clear and logical manner, you verify the solution, solution is within stated range and reflects appropriate accuracy or precision, solution is labeled with appropriate units)