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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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Locate 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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8
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Define complex numbers
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9
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Perform arithmetic operations on complex numbers.
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Equations and Inequalities
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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 application problems involving linear equations
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3
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Solve quadratic equations.
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4
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Solve application problems involving quadratic equations.
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5
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Solve linear inequalities.
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6
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Solve quadratic inequalities.
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7
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Solve rational inequalities.
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8
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Solve exponential equations.
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9
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Solve application problems involving exponential equations.
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10
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Solve logarithmic equations.
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11
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Solve application problems involving logarithmic equations.
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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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Plot ordered pairs.
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2
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Define relations and functions.
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3
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Construct a graph of linear functions.
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4
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Construct a graph of quadratic functions.
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5
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Construct a graph of exponential functions.
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6
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Construct a graph of logarithmic functions.
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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
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Order
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Description
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1
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Set-up and solve problems with direct, inverse, and joint variations.
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2
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Solve absolute value equations and inequalities.
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3
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Solve systems of linear equations with matrices..
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4
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Solve simple linear programming problems..
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5
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Construct conics which might include hyperbolas, parabolas, ellipses, and circles..
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6
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Identify a pattern in a sequence of numbers and use the pattern to extend an arithmetic sequence.
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7
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Identify a pattern in a sequence of numbers and use the pattern to extend a geometric sequence.
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8
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Use mathematical induction to prove statements.
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9
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Use the Binomial Theorem to expand the binomial.
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10
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Use the Binomial Theorem to find indicated terms without expanding.
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11
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Define permutations and combinations.
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12
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Use permutations and combinations to solve application problems.
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13
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Define probability.
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14
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Calculate probability of events in application problems.
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