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Logarithmic and Trigonometric Functions

Unit Focus:
ï‚· Explain the relationship between logarithms and exponents.
ï‚· Rewrite and solve exponential and logarithmic functions.
ï‚· Write and interpret exponential and logarithmic functions.
ï‚· Determine an equivalent form of a logarithmic expression using the laws of logarithms.
ï‚· Relate the unit to right triangles and trigonometry as well as the relationships between the six trigonometric ratios, their reciprocals and their inverses.
ï‚· Evaluate and graph the trigonometric functions, their inverses, and their reciprocals.
ï‚· Use trigonometric ratios to solve problems in a variety of context, such as mechanics, biology, and navigation.
ï‚· Learn strategies for simplifying expressions and solving equations by using trigonometric identities. 

Unit 2

  • Evaluate exponential functions.

  • Define the number e.

  • Analyze Log as the inverse of exponential functions.

  • Graph logs and exponential functions.

  • Determine the domain of a logarithmic function.

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  • Expand and condense logarithmic expressions.

  • Create models and use arguments to help in solving real life problems.

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  • Create a unit circle from its relationship to right triangle trigonometry.

  • Identify co-terminal and reference angles using degrees.

  • Use the unit circle to evaluate all six trigonometric relations; use the calculator to evaluate each relation.

  • Identify co-terminal and reference angles using degrees.

  • Evaluate trigonometric functions of any angle using reference angles.

  • Relate right triangle trigonometry to the ratio of sides of a triangle relating it to the algorithm used in a calculator.

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  • Use domain and period to evaluate sine and cosine functions.

  • Use a calculator to evaluate trigonometric functions.

  • Evaluate trigonometric functions of acute angles.

  • Use amplitude and period to help sketch the graphs of sine and cosine functions.

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  • Use the fundamental trigonometric identities.

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  • Evaluate inverse trigonometric functions.

  • Evaluate composite trigonometric functions.

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  • Use the fundamental trigonometric identities to evaluate trigonometric functions, simplify expressions and rewrite trigonometric expressions.

Skills                             Student Learning Objective (SLO)

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