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Unit 1 focuses on solving quadratic equation with real and complex solution, solving linear system with three variable, geometric and arithmetic sequence and series, and rational exponent

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Unit 1

  • Every complex number has the form a + bi with a and b real.

  • Add and subtract complex number using commutative and associative properties.

  • Multiply complex number using commutative and associative properties.

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  • Solve quadratic equations with real solution by  factoring.

  • Solving quadratic equations with real and and complex solutions by taking square roots, and completing the square.

  • Write complex solutions in a ± bi form.

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  • Solve a system containing one linear equation and one quadratic equation algebraically and by graphing.

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  • Solving a system of linear equations containing 3 variables requires 3 linear equations using substitution and/or elimination methods.

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  • Distinguish between recursive and explicit formulas.

  • Represent geometric and arithmetic sequences recursively.

  • Represent geometric and arithmetic sequences with explicit formulas. Translate between recursive form and explicit form of geometric and arithmetic sequences.

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  • Series as a sum of a sequence.

  • Derive or explain the derivation of the formula for the sum of a finite geometric series.

  • Use the formula for the sum of a finite geometric series to solve problems.

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  • Rewrite expressions containing rational exponents into radical form.

  • Rewrite expressions containing radical notation into exponential expressions containing rational exponents. Properties of rational exponents are used to simplify and create equivalent forms of numerical expressions.

  • Rational exponents can be written as radicals, and radicals can be written as rational exponents.

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  • Rewrite expressions containing rational exponents into radical form.

  • Rewrite expressions containing radical notation into exponential expressions containing rational exponents. Properties of rational exponents are used to simplify and create equivalent forms of numerical expressions.

  • Rational exponents can be written as radicals, and radicals can be written as rational exponents.

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Skills                             Student Learning Objective (SLO)

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