# Pre-Calculus Outcomes

**Table 6. Physical Education (1*)**

TO BE DETERMINED BY LOCAL REQUIREMENTS AND COMPLETED PRIOR TO ATTENDING KAMS

Suggested Courses taken atthe High School: |
Units: |
Courses taken atKAMS: |
CreditHours: |
Unit Equivalent: |

Physical Education/Health | 1* | _ | _ | _ |

Grand Total = 1 |

* Local variations on number of units

**Table 7. Science (3)**

[Physical, biological, earth and space science with one unit as a laboratory
course]

Suggested Courses taken atthe High School: |
Units: |
Courses taken atKAMS: |
CreditHours: |
Unit Equivalent: |

Science (physical/earth) | 1 | * | * | * |

Science (biology) | 1 | |||

Science (chemistry) | 1 | |||

Total: | 3 | Total: | * | * |

Grand Total = 3* |

*Used to fulfill elective options for high school graduation. See Table 9.

**Table 8. Mathematics (3)**

Suggested Courses taken atthe High School: |
Units: |
Courses taken atKAMS: |
CreditHours: |
Unit Equivalent: |

Algebra II + | 1 | MATH 130 Pre -Calculus (if indicated by test placement) | 3 | 0.5 |

Functions/Statistics/Trigonometry | 1 | MATH 234 Analytic Geometry & Calculus I | 5 | 0.5 |

MATH 235 Analytic Geometry & Calculus II | 5 | 0.5 | ||

Total: | 2 | Total: | 13 | 1.5 |

Grand Total = 3.5 |

+Assumes Algebra I & Geometry in Middle School

**Table 9. Electives (6)**

Suggested Courses taken atthe High School: |
Units: |
Courses taken atKAMS: |
CreditHours: |
Unit Equivalent: |

Free Electives | 1 | CHEM 121/121L University Chemistry I | 5 | 0.5 |

Technology | 1 | CHEM 122/122L University Chemistry II | 5 | 0.5 |

Foreign Language I | 1 | PHYS 211/211L Physics for Scientists and Engineers I | 5 | 0.5 |

Foreign Language II | 1 | PHYS 212/212L Physics for Scientists and Engineers II | 5 | 0.5 |

BIOL 180/180L Principles of Biology | 4 | 0.5 | ||

Computer Science Elective | 3 | |||

Total: | 4 | Total: | 27 | 3 |

Grand Total = 7 |

**Appendix A.
Pre-Calculus Outcomes**

Students will be expected to use appropriate technology as one tool to achieve the following outcomes:

**I. Analysis and graphing of functions and equations**

The student should be able to:

A. Use functional notation.

B. Recognize and distinguish between functions and relations (equations).

C. Use concepts of symmetry, intercepts , left- and right-hand behavior, asymptotes, and

transformations to sketch the graph of various types of functions (constant, linear , quadratic,

absolute value, piecewise-defined, square root , cubic, polynomial, rational, exponential, and

logarithmic) or relations (circle) given in description.

D. Determine the domain and range of a function.

E. Write the equation that describes a function (for types given above) or circle given its

description.

F. Use graphs of functions for analysis.

G. Determine arithmetic combinations and composites of functions.

H. Determine the inverse of a function.

**II. Solutions of equations and inequalities**

The student should be able to:

A. Solve equations listed in I (C), i.e. literal equations , quadratic equations by factoring and

quadratic formula , equations involving rational expressions , equations involving radicals and

equations involving absolute value expressions, along with equations involving exponential or

logarithmic functions .

B. Solve inequalities of the following types: linear (in one and two variables), polynomial,

rational, absolute value.

C. Solve systems of inequalities by graphing.

D. Apply equations from II (A) to real-world situations, including but not limited to depreciation,

growth and decay, max/min problems.

E. Examine and analyze data, make predictions/interpretations, and do basic modeling.

F. Solve systems of equations by various methods , including matrices.

III. Trigonometry concepts

III. Trigonometry concepts

The student should be able to:

A. Understand the basic definitions of trigonometric functions using both a right triangle and

the unit circle.

B. Solve right triangles, and know trigonometric function values for special angles.

C. Understand radian definition and measurement, and understand circular functions as realvalued

functions.

D. Analyze the graphs of the six basic trigonometric functions and their arithmetic

combinations using the concepts of period, phase shift, amplitude, and displacement.

E. Derive/verify trigonometric identities, including but not limited to double angle, half angle, angle

sum and angle difference identities .

F. Define, graph, and analyze inverse trigonometric functions.

G. Solve equations involving trigonometric functions.

H. Determine solutions of oblique triangles using the Law of Cosines or Law of Sines.

I. Solve applications, including but not limited to vectors.

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