PreCalculus - Course Standards
 Share
The version of the browser you are using is no longer supported. Please upgrade to a supported browser.Dismiss

 
View only
 
 
Still loading...
ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
StandardStandard TitleStandard Description
2
5.1Radian and Degree MeasuresI can convert angle measures in radians to angle measures in degrees. In a circle, I can relate angles and arclengths to each other. I can solve modeling problems related to linear and angular measurements and their rates of change.
3
5.2
Ratio Definitions for Trigonometric Functions
I can evaluate sine, cosine, tangent and their reciprocal functions in right triangles and at angles from the coordinate axes. I can relate values of these functions in one quadrant to those in other quadrants.
4
5.3
Unit Circle Trigonometric Functions
I can evaluate the trigonometric functions and their reciprocal functions at given angles around the unit circle. I can apply definitions of these functions and knowledge of the unit circle to derive identities
5
5.4
Inverse Trigonometric Functions
I can evaluate inverse trigonometric functions using knowledge of right triangles. I can evaluate compositions of trigonometric functions and their inverses.
6
5.5
Graphs of Trigonometric Functions
I can relate graphs of the sine, cosine, and tangent functions to their equations. I can identify characteristics of these functions, including period, amplitude, axis intercepts, and phase shifts. I can identify the graphs of the reciprocal and inverse trigonometric functions.
7
6.1
Modeling with Trigonometric Functions
I can write a sine or cosine function to model periodic phenomena. I can relate the period, frequency, amplitude, vertical shift, and phase of a given trigonometric function to describe a given physical situation.
8
6.2Sum and Difference IdentitiesI can simplify expressions containing sines, cosines, or tangents of sums of angles using the identities. I can derive other angle identities using these formulas.
9
6.3
Pythagorean and Multiple Angle Identities
I can apply half or double angle identities to simplify expressions containing trigonometric functions. I can use these identities to derive other identities.
10
6.4
Solving Trigonometric Equations
I can use knowledge of the unit circle to solve equations stated in terms of trigonometric functions. I can find all solutions to an equation within a given interval.
11
7.1Circles and EllipsesI can identify characteristics of circles and ellipses such as center, radius, vertices, and foci. I can relate algebraic, graphical, and verbal representations of circles and ellipses to each other.
12
7.2HyperbolasI can identify characteristics of hyperbolas such as center, asymptotes, vertices, and foci. I can relate algebraic, graphical, and verbal representations of hyperbolas to each other.
13
7.3ParabolasI can identify characteristics of parabolas, including vertex, directrix, and foci. I can relate algebraic, graphical, and verbal representations of parabolas to each other.
14
8.1Counting PrinciplesI can use the counting principle to determine the number of possible outcomes of situations with and without repetition. This includes finding permutations and combinations of items.
15
8.2Probabilities of Single EventsI can find probabilities of events using tree diagrams, Venn diagrams, and counting principles. I can find the probability of events involving the complement, unions, and intersections. I can make qualitative statements about the likelihood of an event.
16
8.3
Compound Probability and Binomial Probability
I can calculate probabilities of multiple events that are either independent or not independent. I can calculate conditional probabilities. I can determine the probability of events with two outcomes occuring specific numbers of times.
17
8.4Distributions of DataI can use tables or graphs of the distribution of a set of data to draw conclusions about the population. I can find probabilities of events involving distributions using technology, and calculate expected value for the distribution.
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Loading...
 
 
 
Semester 2
Sheet3
Semester 1