Download BHS Precalculus Common Core Target (I CAN

BHS Precalculus Common Core
Target (I CAN) Statements
1A
1B
1C
2A
2B
3A
3B
3C
3D
4A
4B
4C
4D
Common Core
State Standard
and Cluster
Mathematical
Practice
Standards
Precalculus
REGULAR
Unit of Study: 1) Matrices
Standard Domain: Vector quantities and matrices.
I CAN perform matrix algebra and apply it to real-world data. N-VM 6, 7, 8, 9,
7.2
11
I CAN explore the zero and identity matrices and use them
N-VM 10
7.2
with inverses.
I CAN work with transformations of the plane to interpret
N-VM 12
Supplement
the absolute value of the determinant in terms of area.
GATEWAY: LINEAR
Unit of Study: 2) Systems of Equations
Standard Domain: Reasoning with equations and inequalities
I CAN solve a system of linear equations using inverse
A-REI 8
7.3
matrices.
I CAN solve a system of linear equations using RREF.
A-REI 9
7.3
Unit of Study: 3) Vectors
Standard Domain: Vector quantities and matrices.
I CAN represent vectors using multiple representations.
N-VM 1
6.1
I CAN find the components of a vector given a variety of
N-VM 2
6.1
situations.
I CAN apply vectors to real-life applications.
N-VM 3
6.1
I CAN perform operations on vectors.
N-VM 4a, b, c,
8.6, 6.2
5a, b
GATEWAY: QUADRATIC
Unit of Study: 4) Geometry
Standard Domain: Expressing geometric properties with equations and geometric measurement and dimension.
I CAN identify the parts of a parabola.
G-GPE 2
8.1
I CAN find the equation of a parabola given a variety of
G-GPE 2
8.1
information.
I CAN identify the parts of an ellipse.
G-GPE 3
8.2
I CAN find the equation of an ellipse given a variety of
G-GPE 3
8.2
information.
Precalculus
HONORS
10.4
10.4
Supplement
10.2
10.2
8.4
8.4, 8.6
8.4
8.4, 8.5, 8.6
9.2
9.2
9.3
9.3
BHS Precalculus Common Core
4E
4F
G-GPE 3
G-GPE 3
8.3
8.3
9.4
9.4
G-GMD 2
supplement
Supplement
NO CCSS
supplement
Supplement
5B
I CAN identify the parts of a hyperbola.
I CAN find the equation of a hyperbola given a variety of
information.
I CAN give an informal argument using Cavalieri’s Principle
for the formulas for the volume of a sphere and other solid
figures.
Unit of Study: 5) Derivatives
Standard Domain:
I CAN determine the degree of a polynomial function using
difference tables.
I CAN find the slope of a secant and tangent line of a curve.
NO CCSS
Supplement
5C
I CAN find the IRC and ARC of a given situation.
NO CCSS
5D
I CAN use the Binomial Theorem to expand binomial
expressions.
I CAN use derivatives to find points of interest.
NO CCSS
10.1,
supplement
10.1,
supplement
9.2
10.1,
supplement
Supplement
2.6
3.3,3.4
2.6
3.3,3.4
1.4, supplement
1.5
4.1
4.2
1.5, supplement
4.2
4G
s
5A
5E
NO CCSS
Supplement
11.5
Semester 2
6A
6B
7A
7B
7C
Unit of Study: 6) Rational Functions
Standard Domain: Building functions
GATEWAY: LIBRARY OF FUNCTIONS (Basic Functions)
I CAN identify the critical information from a graph of a
F-IF 7d
rational function. (zeroes, y-intercept, asymptotes, end
behaviors).
I CAN graph rational functions using critical information.
F-IF 7d
Unit of Study: 7) Inverse Functions
Standard Domain: Interpreting functions and building functions.
I CAN use composition of functions in real-life applications.
F-BF 1c
I CAN verify by composition that one function is the inverse
F-BF 4b
of another.
I CAN evaluate values of an inverse function from a graph or F-BF 4c
BHS Precalculus Common Core
7D
7E
8A
8B
8C
8D
8E
9A
9B
9C
9D
9E
a table given that the function has an inverse (nontrigonometric).
I CAN produce an invertible function from a non-invertible
F-BF 4d
function by restricting the domain.
GATEWAY: LOGARITHMIC AND EXPONENTIAL
I CAN represent logarithmic functions as the inverses of
F-BF 5
exponential functions using multiple representations.
Unit of Study: 8) Trigonometric Functions
Standard Domain: Trigonometric functions
I CAN find the exact value of trigonometric functions using
F-TF 3
the unit circle.
I CAN verify and apply trigonometric identities (sum and
F-TF 3, 9
difference, half and double angle).
GATEWAY: UNIT CIRCLE
I CAN determine the symmetry and periodicity of
F-TF 4
trigonometric functions using the unit circle.
I CAN restrict the domain of trigonometric functions to
F-TF 6
construct the inverses.
I CAN model real-life applications using trigonometric
F-TF 7
functions and inverses.
Unit of Study: 9) Complex Numbers
Standard Domain: The complex number system
I CAN use the conjugate to find moduli and quotients of
N-CN 3
complex numbers.
I CAN convert a complex number to polar form and vice
N-CN 4, 5
versa.
I CAN graph a complex number on a complex plane in
N-CN 4
rectangular and polar form.
I CAN perform arithmetic operations on complex numbers in N-CN 5
polar form (DeMoivre’s Theorem)
I CAN find the distance between numbers in the complex
N-CN 6
plane.
Unit of Study: 10) Probability and Statistics *****Revisit Seq. and Series*****
Standard Domain: Using probability to make decisions.
supplement
4.3, Supplement
3.3, supplement
4.5
4.3, 4.4
4.3
5.2
5.3, 5.4
6.3, 6.4, 6.5
Supplement
5.4,5.5,5.6
Supplement
6.1
4.8
6.1,6.2
P.6, 6.6,
supplement
6.6
8.3
6.6
8.2, 8.3
6.6
8.3
supplement
Supplement
8.1
BHS Precalculus Common Core
10A
I CAN express a random variable with a sample space and a
probability distribution.
10B I CAN calculate and interpret the expected value of a
random variable.
10C I CAN develop a probability of distribution for a random
variable based on theoretical or empirical data.
10D I CAN use probability to evaluate outcomes of decisions.
S-MD 1
9.3
12.3
S-MD 2
9.3
12.3
S-MD 3, 4
9.3
12.3
S-MD 5a, b, 6, 7
9.3
12.3