Honors Precalculus Nine Weeks #1 Worker(s): Maite
Textbook: Advanced Mathematical Concepts: Precaluclus with
Applications
Patterns, Functions, and Algebra
|
Grade/Standard |
Indicator |
Pages |
|
10/10 |
Solve
real-world problems that can be modeled using linear, quadratic, exponential,
or square root functions. |
704-737 |
|
11/1 |
Identify
and describe problem situations involving an iterative process that can be
represented as a recursive function; e.g., compound interest. |
712-716 Supplementary
Handouts |
|
11/2 |
Translate
a recursive function into a closed form expression or formula for the nth
term to solve a problem situation involving an iterative process; e.g., find
the value of an annuity after 7 years. |
712-716 Supplementary
Handouts |
|
11/3 |
Describe
and compare the characteristics of the following families of functions: quadratics with complex roots, polynomials
of any degree, logarithms, and rational functions, e.g., general shape,
number of roots, domain and range, asymptotic behavior. |
45-51,
137-145, 171-179, 704-711,
718-725, 726-732, 733-737 |
|
11/4 |
Identify
the maximum and minimum points of polynomial, rational and trigonometric
functions graphically and with technology. |
137-145 |
|
11/5 |
Identify
families of functions with graphs that have rotation symmetry or reflection
symmetry about the y-axis, x-axis, or |
127-135,
137-145 |
|
11/6 |
Represent
the inverse of a function symbolically and graphically as a reflection about |
152-158 |
|
11/11 |
Describe
how a change in the value of a constant in an exponential, logarithmic, or
radical equation affects the graph of the equation. |
704-711 |
|
12/1 |
Analyze
the behavior of arithmetic and geometric sequences and series as the number
of terms increases. |
759-783 Supplementary
Handouts |
|
12/2 |
Translate
between the numeric and symbolic form of
a sequence or series. |
759-783 Supplementary
Handouts |
|
12/4 |
Represent
the inverse of a transcendental function symbolically. |
718-737 |
.
.Honors Precalculus Nine Weeks #2 Worker(s): Maite
Textbook: Advanced Mathematical Concepts: Precaluclus with
Applications
Measurement
|
Grade/Standard |
Indicator |
Pages |
|
11/2 |
Use
radian and degree angle measures to solve problems and perform conversions as
needed. |
277-283, 343-350 |
|
12/2 |
Use
radian measures in the solution of problems involving angular velocity and
acceleration. |
352-357 |
Geometry and Spatial Sense
|
Grade/Standard |
Indicator |
Pages |
|
9/1 |
Define
the basic trigonometric ratios in right triangles: sine, cosine, and tangent. |
284-290,
305-311 |
|
9/2 |
Apply
proportions and right triangle trigonometric rations to solve problems
involving missing lengths and angle measures in similar figures. |
299-304 |
|
11/4 |
Use
trigonometric relationships to determine lengths and angle measures; i.e.,
Law of Sines and Law of Cosines. |
305-311,
313-318, 320-326, 327-332 |
|
12/2 |
Derive
and apply the basic trigonometric identities; i.e., angle addition and
subtraction, and double angles. |
291-298,
421-429, 431-436, 437-444,
448-455, 456-461 |
Patterns, Functions, and Algebra
|
Grade/Standard |
Indicator |
Pages |
|
10/2 |
Describe
and compare characteristics of the following families of functions: square
root, cubic, absolute value, and basic trigonometric functions; e.g., general
shape, possible number of roots, domain and range. |
359-366,
368-376, 378-386, 395-402 |
|
12/1 |
Analyze
the behavior of arithmetic and geometric sequences and series as the number
of terms increases. |
759-783 Supplementary
Handouts |
|
12/2 |
Translate
between the numeric and symbolic form of
a sequence or series. |
759-783 Supplementary
Handouts |
|
12/3 |
Describe
and compare the characteristics of transcendental and periodic functions;
e.g., general shape, number of roots, domain and range, asymptotic behavior,
extrema, local and global behavior. |
359-366,
368-376, 378-386, 395-402, 405-412 |
|
12/4 |
Represent
the inverse of a transcendental function symbolically. |
405-412 |
Honors Precalculus Nine Weeks #3 Worker(s): Maite
Textbook: Advanced Mathematical Concepts: Precaluclus with
Applications
Number, Number Sense, and Operations Standard
|
Grade/Standard |
Indicator |
Pages |
|
11/1 |
Determine
what properties hold for matrix addition and matrix multiplication; e.g., use
examples to show addition is commutative and when multiplication is not
commutative. |
78-86 |
|
11/2 |
Determine
what properties hold for vector addition and multiplication, and for scalar
multiplication. |
485-492,
493-498 |
|
11/4 |
Use
matrices to represent given information in a problem situation. |
78-86,
|
|
11/5 |
Model,
using the coordinate plane, vector addition and scalar multiplication. |
485-492 |
|
11/6 |
Compute
sums, differences and products of matrices using paper and pencil
calculations for simple cases, and technology for more complicated cases. |
78-86 |
|
11/9 |
Use
vector addition and scalar multiplication to solve problems. |
485-492,
493-498, 500-504, 505-510, 513-519 |
|
12/1 |
Determine
what properties (closure, identity, inverse, commutative, and associative)
hold for operations with complex numbers. |
593-597,
599-606 |
Measurement
|
Grade/Standard |
Indicator |
Pages |
|
10/8 |
Derive
coordinate rules for translations, reflections, and rotations of geometric
figures in the coordinate plane. |
88-95 |
|
10/9 |
Show
and describe the results of combinations of translations, reflections, and
rotations (compositions); e.g., perform compositions and specify the result
of a composition as the outcome of a single motion, when applicable. |
88-95 |
Geometry and Spatial Sense
|
Grade/Standard |
Indicator |
Pages |
|
11/1 |
Use
polar coordinates to specify location on a plane. |
553-560,
561-567 |
|
11/2 |
Represent
translations using vectors. |
493-498 |
|
11/3 |
Describe
multiplication of a vector and a scalar graphically and algebraically, and
apply to problem situations. |
485-492,
493-498 |
|
12/1 |
Use
matrices to represent translations, reflections, rotations, dilations, and
their compositions. |
88-95,
535-542 |
Patterns, Functions, and Algebra
|
Grade/Stamdard |
Indicator |
Pages |
|
11/7 |
Model
and solve problems with matrices and vectors. |
67-85,
98-104, 505-510, 520-525,
527-533 |
|
11/9 |
Solve
3 by 3 systems of linear equations by elimination and using technology, and
interpret graphically what the solution means (a point, line, plane, or no
solution). |
73-77,
500-504 |
|
12/5 |
Set
up and solve systems of equations using matrices and graphs, with and without
technology. |
67-85 |
|
12/9 |
Translate
freely between polar and Cartesian coordinate systems. |
568-572,
586-591 |
Honors Precalculus Nine Weeks #4 Worker(s): Maite
Textbook: Advanced Mathematical Concepts: Precaluclus with
Applications
Number, Number Sense, and Operations Standard
|
Grade/Standard |
Indicator |
Pages |
|
12/2 |
Apply
combinations as a method to create coefficients for the Binomial Theorem, and
make connections to everyday and workplace problem situations. |
801-805 |
Measurement
|
Grade/Standard |
Indicator |
Pages |
|
12/1 |
Solve
problems involving derived measurements; e.g., acceleration and pressure |
951-959 |
|
12/3 |
Apply
informal concepts of successive approximation, upper and lower bounds, and
limits in measurement situations; e.g., measurements of some quantities such
as volume of a cone can be determined by sequences of increasingly accurate
approximations. |
961-968 |
Patterns, Functions, and Algebra
|
Grade/Standard |
Indicator |
Pages |
|
11/1 |
Identify
and describe problem situations involving an iterative process that can be
represented as a recursive function; e.g., compound interest. |
815-821 |
|
11/2 |
Translate
a recursive function into a closed form expression or formula for the nth
term to solve a problem situation involving an iterative process; e.g., find
the value of an annuity after 7 years. |
794-799 |
|
12/1 |
Analyze
the behavior of arithmetic and geometric sequences and series as the number
of terms increases. |
786-793 |
|
12/6 |
Make
arguments about mathematical properties using mathematical induction. |
822-828 |
|
12/7 |
Make
mathematical arguments using the concepts of limit. |
786-793,
941-948, 951-959 |
|
12/8 |
Compare
estimates of the area under a curve over a bounded interval by partitioning
the region with rectangles; e.g., make successive estimates using
progressively smaller rectangles. |
961-968,
971-975 |
|
12/10 |
Use
the concept of limit to find instantaneous rate of change for a point on a
graph as the slope of a tangent at a point. |
951-959 |