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Use linear equations to solve applied problems
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
evaluate a given formula for specified values
solve a given formula for a specified variable
create a linear equation to model a given scenario
solve a linear equation that models an applied problem
interpret the solution of a linear equation in context
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Solve linear inequalities
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
solve simple linear inequalities
solve compound linear inequalities
solve absolute value equations
solve absolute value inequalities
represent a solution using set builder notation
represent a solution using interval notation
represent a solution using a graph
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Analyze relationships on the Cartesian plane
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
graph a line, given its slope and point on the line
graph linear equations
find the distance between two points
find the midpoint of two points
identify one-to-one functions
graph an inverse function
graph the square root function
graph the absolute value function
graph the reciprocal function
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Analyze linear equations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
compare slopes to determine if two lines are parallel, perpendicular, or neither
find the equation of a line, given two points on the line
write the equation of a line in standard form
write the equation of a line in slope-intercept form
write the equation of a line in point-slope form
find the slope given two points or the equation of the line
identify x- and y- intercepts
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Apply properties of functions
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
distinguish the differences between relations and functions
find the domain and range of a relation
use function notation
solve applications involving functions
perform arithmetic operations with functions
identify the domain of a function algebraically
write a composite function
evaluate a composite function for a specified value
determine the inverse of a function algebraically
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Solve systems of equations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
create a system of linear equations to model a given scenario
solve a system of linear equations that models an applied problem
interpret a solution of a system of linear equations in context
solve a system of two linear equations by graphing
solve a system of two linear equations by the elimination method
solve a system of two linear equations by the substitution method
identify inconsistent or dependent systems
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Solve polynomial equations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
factor using the greatest common factor
factor binomials
factor by grouping
factor trinomials
perform arithmetic operations with polynomials
factor the difference of two squares
factor the sum or difference of two cubes
use the zero product property of real numbers to solve polynomial equations
evaluate a polynomial function for a specified value
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Use quadratic equations to solve applied problems
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
apply the square root principle
apply the quadratic formula
graph a quadratic function written in standard form or vertex form
perform transformations on a quadratic function
identify the domain and range of a quadratic function
interpret the solution of a quadratic equation in context
use the Pythagorean Theorem to solve an applied problem
use a quadratic equation to solve an applied problem
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Use rational equations to solve applied problems
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
simplify rational expressions
find the domain of rational functions
perform arithmetic operations with rational expressions
simplify complex fractions
use a rational equation to solve an applied problem
interpret the solution of a rational equation in context
identify extraneous solutions
solve rational equations
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Solve radical equations
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
convert between radical and exponential notation
simplify radicals
apply rules of exponents with positive and negative rational exponents
perform arithmetic operations with radical expressions
evaluate a radical function for a specified value
find the domain of a radical function
solve equations containing radical expressions or rational exponents
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Operate within the complex number system
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
simplify radicals that include complex numbers
perform arithmetic operations with complex numbers
solve equations with complex solutions
determine a complex conjugate
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Use exponential equations to solve applied problems
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
identify an exponential function or relation
graph an exponential function
evaluate an exponential function for specified values
create an exponential function to model a given scenario
interpret the solution of an exponential equation in context
apply the definition of a logarithm to transform exponential equations
solve an exponential equation that models an applied problem
use properties of logarithms