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Benchmark 4: Nonpolynomial Functions |
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Objective |
Content Standard |
| G.1.a. | Solve mathematical and real-world rational equation problems (e.g., work or rate problems) |
| G.1.b. | Simplify radicals that have various indices |
| G.1.c. | Use properties of roots and rational exponents to evaluate and simplify expressions |
| G.1.d. | Add, subtract, multiply, and divide expressions containing radicals |
| G.1.e. | Rationalize denominators containing radicals and find the simplest common denominator |
| G.1.f. | Evaluate expressions and solve equations containing nth roots or rational exponents |
| G.1.g. | Evaluate and solve radical equations given a formula for a real-world situation |
| G.2.a. | Graph exponential and logarithmic functions with and without technology |
| G.2.b. | Convert exponential equations to logarithmic form and logarithmic equations to exponential form |
| G.3.a. | Use the law of cosines and the law of sines to find the lengths of sides and measures of angles of triangles in mathematical and real-world problems |
| G.3.b. | Use the unit-circle definition of the trigonometric functions and trigonometric relationships to find trigonometric values for general angles |
| G.3.c. | Measure angles in standard position using degree or radian measure and convert a measure from one unit to the other |
| G.3.d. | Graph the sine and cosine functions with and without technology |
| G.3.e. | Determine the domain and range of the sine and cosine functions, given a graph |
| G.3.f. | Find the period and amplitude of the sine and cosine functions, given a graph |
| G.3.g. | Use sine, cosine, and tangent functions, including their domains and ranges, periodic nature, and graphs, to interpret and analyze relations |