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Standards for Precalculus Semester 1

Forever Standards - These never go away!

A. I can simplify and perform operations on fractions without a calculator. This includes simplifying,

adding, subtracting, multiplying and dividing.

B. I can solve all types of linear equations algebraically.

C. I can factor trinomials (including with leading coefficient other than 1)

D. I can solve equations graphically with a calculator (when appropriate).

E. I can relate multilaterally the type of function, to function notation, to the parent graph (Linear,Absolute Value, Quadratic, Radical, Exponential...).

F. I can solve quadratics by factoring, graphing, and the quadratic formula.

G. I can find an appropriate window for graphs on the calculator.

Function Basic and Properties

1. Given a graph, I can determine the domain and range in interval notation of a function or relation.

2. I can describe the domain of simple radical and rational functions.

3. I can describe the properties of a graph. Including but not limited to: Domain, Range, Increasing

and Decreasing Intervals, one-to-one, local and absolute extrema, axes of symmetry, end

behavior.

4. I can graph piece-wise functions, and write piece-wise functions given a graph and/or situation

(B).

5. I can identify even and odd functions both algebraically and graphically and describe their

symmetry. (why do we do this?) .

6. I can combine functions through addition, subtraction, multiplication, and division.

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7. I can perform a composition of functions.

8. I can find inverse functions, and verify/determine if two functions are inverses.

Unit Circle and Evaluating Trigonometric Functions

9. I can convert between radian and degree measure.

10. I can determine arc length, angular velocity, and linear velocity.

11. I can accurately sketch rotations in the coordinate plane in radian and degree measure.

12. I can identify and label the degree measure, radian measure, and coordinates on the unit circle.

13. I can compute sine and cosine values for the standard angles in the first quadrant.

14. I can compute sine and cosine values for the standard angle analogues in the 2nd, 3rd and 4th

quadrants.

15. I can evaluate the 6 trigonometric functions in degrees and radians

16. I can evaluate expressions using the 6 inverse trigonometric functions.

Law of Sine, Cosine, Double and Half Angle

17. I can identify when to use the law of sines, and can apply it to find missing sides and angles.

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18. I can identify when the law of sines is ambiguous, determine how many solutions are present,

and find those solutions.

19. I can identify when to use the law of cosines, and use it to find missing sides and angles

accurately.

20. I can draw pictures/diagrams to represent problems involving trigonometric ratios, the law of

sines, and/or the law of cosines.

21. I can find the area of triangles given various information.

22. I can evaluate/simplify expressions using double and half angle formulas.

Graphing Trigonometric Functions

23. I can graph f(x) = sin(x) and g(x) = cos(x) and h(x) = tan(x) over various domains.

24. I can identify the vertical shift, phase shift, period, and amplitude of trigonometric functions.

25. I can sketch the 3 basic trigonometric functions under transformations accurately.

26. Given a graph, I can write an equation of a trigonometric function.

27. I can identify and sketch graphs of the three basic inverse trigonometric functions and describe

the domain and range of each.

28. I can write equations to model periodic behavior.

29. I can analyze periodic models to predict future behavior.

Trigonometric Equations

30. I can use trigonometric identities to prove trigonometric equalities

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31. I can solve trigonometric equations algebraically.

Ungraded - From Teacher

1. I can use complete sentences to articulate mathematical or physical ideas.

2. I can Independently verify solutions.

3. I can estimate or check the reasonableness of answers.

5. I can effectively collaborate with my peers.

6. I can neatly organize my progression towards a solution.

7. I ask meaningful questions.

8. Days absent. Excused or unexcused.

Ungraded - From Student

7. I often reflect on my progress in this class (This does not just mean that you check your grade on

edline)

9. I make a valid attempt to engage myself and take ownership for my learning.