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Graph exponential and logarithmic functions
Assessment Strategies
in an oral, written, or graphic product
Criteria
graph exponential functions
graph logarithmic functions
relate logarithmic functions to its inverse function
graph functions on logarithmic or semi-logarithmic scales
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 exponential and logarithmic equations
Assessment Strategies
in an oral, written, or graphic product
Criteria
solve exponential equations
solve logarithmic equations
solve applied problems involving exponential or logarithmic equations, such as growth and decay
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 exponents and radicals
Assessment Strategies
in an oral, written, or graphic product
Criteria
evaluate an expression containing rational powers on numbers with rational roots
convert between rational powers and radical notation
simplify radical expressions
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Solve equations with radicals and rational exponents
Assessment Strategies
in an oral, written, or graphic product
Criteria
convert between radical and fractional exponent form
solve radical equations involving one variable
solve equations with fractional exponents
verify solutions by substitution into the original 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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Use formulas involving radicals and exponents
Assessment Strategies
in an oral, written, or graphic product
Criteria
choose formula when appropriate
identify unknown value(s)
relate the given values to the variables in the formula formed after given values are substituted into a formula that includes radical expressions
transform a formula by isolating a variable which is contained in a radical expression
solve equations formed after given values are substituted into a formula that includes radical expressions
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 unknown dimensions as related to a circle
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate the length of a circular arc, given the radius and central angle
calculate the central angle and the chord depth, given the radius and chord length of a circle
calculate the area of a sector of a circle, given the radius and central angle
calculate the area of a segment of a circle, given the radius, central angle, and area of sector to which the segment belongs
calculate the length of a chord, given the radius and the angle between the chord and a tangent at one end of the chord
calculate the angle between two tangents, given the radius of a circle and the length of the segments attached to the circle
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 rotational, linear, and angular velocity problems
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate the linear velocity of a point on the circumference of a wheel, given either the diameter or radius and the angular velocity
calculate the angular velocity of a point on the circumference of a wheel when given either the diameter or radius and the linear velocity
convert between radians over time and revolutions over time
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 vectors
Assessment Strategies
in an oral, written, or graphic product
Criteria
determine the resultant of two or more vectors
resolve vectors by components
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 arithmetic operations using complex numbers in both polar and rectangular forms
Assessment Strategies
in an oral, written, or graphic product
Criteria
add, subtract, multiply, and divide in rectangular form
multiply and divide in polar 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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Relate complex (rectangular) notation to polar notation
Assessment Strategies
in an oral, written, or graphic product
Criteria
convert between polar and rectangular form
use the quadratic equation to find non-real 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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Interpret sine/cosine graphs
Assessment Strategies
in an oral, written, or graphic product
Criteria
identify the amplitude from a sine or cosine wave graph
identify the phase shift
write the equation of a sine/cosine graph
label amplitude, period, phase shift, and frequency for graph
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 sine/cosine waves
Assessment Strategies
in an oral, written, or graphic product
Criteria
plot a graph of sine/cosine wave from an equation
plot a graph of sine/cosine wave given the amplitude, frequency, and phase shift
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 trigonometric equations
Assessment Strategies
in an oral, written, or graphic product
Criteria
manipulate identities
factor trigonometric expressions
write a trigonometric expression in terms of sine and cosine
solve trigonometric equations with multiple 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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Analyze the equations of conic sections and their graphs
Assessment Strategies
in an oral, written, or graphic product
Criteria
determine, by inspection, whether a given second-degree equation represents a circle, ellipse, parabola, or hyperbola
write the equation of a circle, ellipse, parabola, or hyperbola from given information
construct a graph of any of the conic sections from equation(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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Analyze data statistically
Assessment Strategies
in an oral, written, or graphic product
Criteria
calculate measures of central tendency
calculate measures of dispersion
construct a graph that describes data
interpret data in terms of statistics
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)