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Fundamental Concepts of Algebra
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Order
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Description
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1
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Demonstrate the concept of sets and set notation.
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2
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Find complements, unions, and intersections of sets.
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3
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Compute the value of expressions using the laws of exponents.
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4
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Simplify radicals and use them in arithmetic operations.
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5
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Perform arithmetic operations on polynomials.
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6
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Identify all factors of algebraic expressions.
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7
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Perform arithmetic operations on rational expressions.
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Functions and Graphs
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Order
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Description
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1
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Graph first- and second-degree equations.
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2
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Define functions.
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3
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Graph functions.
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4
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Find sum, difference, product, and quotient of functions.
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Linear Functions
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Order
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Description
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1
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Solve linear equations.
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2
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Solve rational equations with ratio and proportion when applicable.
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3
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Solve linear inequalities.
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4
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Construct linear models that describe real-world phenomena.
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5
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Solve and analyze linear models.
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Quadratic Functions
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Order
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Description
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1
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Solve quadratic equations.
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2
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Construct quadratic models that describe real-world phenomena.
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3
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Solve and analyze quadratic models.
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Polynomial Functions
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Order
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Description
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1
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Construct polynomial models that describe real-world phenomena.
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2
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Solve and analyze polynomial models.
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Exponential Functions
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Order
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Description
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1
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Construct exponential models that describe real-world phenomena.
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2
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Solve and analyze exponential models.
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Logarithmic Functions
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Order
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Description
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1
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Construct logarithmic models that describe real-world phenomena.
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2
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Solve and analyze logarithmic models.
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Systems of Equations
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Order
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Description
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1
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Solve systems of linear equations with two unknowns.
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2
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Solve application problems involving linear systems.
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Optional Topics in Algebra
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Order
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Description
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1
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Recognize and interpret piecewise-defined models of real-world phenomena.
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2
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Apply counting principles to real-world phenomena.
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3
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Determine the probability of an event.
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4
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Find measures of central tendency and dispersion.
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5
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Find the composition of two functions.
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6
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Find and/or graph the inverse of a function.
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7
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Set-up and solve problems with direct, inverse, or joint variations.
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8
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Solve systems of linear equations with matrices.
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9
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Solve simple linear programming problems.
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