Fairview High School
Inventing Quality Work For Students

Essential Outcomes

1^st Trimester Essential Outcomes

1. Use mathematical (numerical, graphical, and algebraic) models to solve real-world problems, draw conclusions, and make predictions.
2. Analyze function characteristics such as domain, range, extreme values, symmetry, continuity, asymptotes, and end behavior
3. Recognize and/or sketch graphs of the basic functions (linear, quadratic, cubic, square root, absolute value, reciprocal, sine, cosine, exponential, logarithmic, greatest integer, and logistic)
4. Build new functions by adding, subtracting, multiplying, dividing, and composing other functions
5. Analyze functions by decomposing them into simpler functions.
6. Graph transformations (translations, reflections, stretches, and shrinks) and combinations of transformations for the basic functions
7. Recognize and apply mathematical models of linear, quadratic, and exponential functions in real-world problems
8. Use correlation coefficients to determine whether a model is appropriate.
9. Solve inequalities involving polynomials and rational functions algebraically
10. Solve inequalities involving polynomials and rational functions graphically using appropriate technology
11. Evaluate exponential expressions
12. Identify and graph exponential and logistic functions
13. Convert equations between logarithmic and exponential forms
14. Evaluate natural and common logarithms
15. Rewrite logarithmic expressions using the product, quotient, power, and change of base rules of logarithms.
16. Graph natural and common logarithmic functions
17. Solve exponential, logistic, and logarithmic equations modeling real-world problems

2^nd Trimester Essential Outcomes

18. Understand and apply the relationship between measurements in radians and degrees
19. Solve problems related to linear and angular velocity
20. Define the six trigonometric functions using the lengths of the sides of a right triangle
21. Define and sketch the graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift
22. Apply the concepts of trigonometry to solve real-world problems
23. Find values of inverse trigonometric functions, applying appropriate domain and range restrictions
24. Use trigonometric identities to simplify trigonometric expressions and solve trigonometric equations
25. Understand and apply the Law of Sines and the Law of Cosines to solve problems
26. Apply equations and graphs of conic sections to model real-world phenomena
27. Demonstrate an understanding of geometric and arithmetic sequences by representing them recursively and explicitly
28. Use sigma notation to represent a series
29. Determine whether a series converges or diverges
30. Find the sum of an infinite series that converges
31. Find the sum of an infinite geometric series
32. Apply the limit of a function to find the slope of a line tangent to a curve

2595 Fairview Blvd.
Fairview, TN 37062
Phone: 615-472-4400   Fax: 615-472-4421

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Williamson County Schools Mission:  "The mission of Williamson County Schools is to  cultivate the ability, intellect, and character of each student."

Williamson County Schools Vision: The Williamson County schools provide an engaging and academically enriching environment designed to support the collaborative educational efforts of teachers, students, staff, and community.