PreAP Math Analysis Calendar 2013-2014
August
Monday
Tuesday
Wednesday
5
6
12
Thursday
7
13
14
In-Service Day
Friday
1
2
8
9
15
In-Service Day
16
In-Service Day
1st Day Procedures
Fun Factoring Friday!
19
F.IF.9 Compare properties of two
functions each represented in a
different way (algebraically, graphically,
numerically in tables, or by verbal
descriptions). For example, given a
graph of one quadratic function and an
algebraic expression for another, say
which has the larger maximum.
Transformations of Functions
LTF Mod 11: TDR
4 days
20
F.IF.9 (See 8/19)
Transformations of Functions
LTF Mod 11: TND
Day 2
26
21
F.IF.9 (See 8/19)
Transformations of Functions
LTF Mod 11: TS
Day 3
27
28
29
F.TF.3 Use special triangles to
determine geometrically the values of
sine, cosine, tangent for π/3, π/4 and
π/6, and use the unit circle to express
the values of sine, cosine, and tangent
for π–x, π+x, and 2π–x in terms of their
values for x, where x is any real
number.
Unit Circle & Circular Functions
pg 294-300
Sec 4.2
1 day
Develop Unit Circle
Degree Radian
pg 282-293
Day 3
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
23
F.TF.2 (See 8/26)
F.TF.1 Understand radian measure of
an angle as the length of the arc on the
unit circle subtended by the angle.
Degree and Radian
pg 282-293
Sec 4.1
3 days
Obj 12 Find the complement,
supplement, and conterminal angle of a
given arc/angle.
Conterminal Complements &
Supplements
pg 282-293
Sec 4.1
1 day
F.TF.1 (See 8/23)
F.TF.2 Explain how the unit circle in the
coordinate plane enables the extension
of trigonometric functions to all real
numbers, interpreted as radian
measures of angles traversed
counterclockwise around the unit
circle.
Degree and Radian
pg 282-293
Sec 4.1
Day 2
Sec 4.1
22
F.IF.9 (See 8/19)
Transformations of Functions
LTF Mod 11: PFC
Day 4
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
30
Labor Day
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
September
Monday
Tuesday
2
Wednesday
3
In-Service Day
Labor Day
9
10
Obj 18 (See 9/6)
Trig Functions of Any Angle
pg 312-320
Sec 4.4
Day 2
Obj 19 Use reference angles to find an
angle in standard position.
Reference Angles
pg 312-320
Sec 4.4
1 day
Thursday
Friday
4
5
6
Obj 16 Identify the trigonometric ratio
when all necessary side lengths of a
right triangle are given.
Right Triangle Ratios
pg 301-311
Sec 4.3
1 day
Obj 17 Apply the basic trig ratios to
solve right triangle problems.
Applications of Right Triangles
pg 301-311
Sec 4.3
1 day
Obj 18 Extend the definition of circular
functions to evaluate trigonometric
functions of any angle.
Trig Functions of Any Angle
pg 312-320
Sec 4.4
2 days
11
Curriculum Adjustment
12
13
Curriculum Adjustment
Test
4.1-4.4
16
17
18
19
20
F.TF.4 Use the unit circle to explain
symmetry (odd and even) and
periodicity of trigonometric functions.
F.TF.5 Choose trigonometric functions
to model periodic phenomena with
specified amplitude, frequency, and
midline.
Obj 20 Use the Unit Circle to develop
the graphs of sine and cosine.
Sine & Cosine Graphs
pg 321-331
Sec 4.5
LTF: WPGTF, AAPC
1 day
Obj 21 Graph transformations of sine
and cosine using amplitude, period,
vertical shift, phase shift and midline.
Transformations of Sine & Cosine
pg 321-331
Sec 4.5
LTF: IF, FTMD
2 days
Obj 21 (See 9/17)
Transformations of Sine & Cosine
pg 321-331
Sec 4.5
Day 2
Obj 100 Determine the domain, range,
continuity, symmetry, relative extrema
and concavity of sine and cosine
Characteristics of Sine & Cosine Graphs
pg 321-331
Sec 4.5
2 days
Obj 100 (See 9/19)
Characteristics of Sine & Cosine Graphs
pg 321-331
Sec 4.5
Day 2
23
Obj 101 Use parametrics to explore
periodic phenomenon such as ocean
tides, Ferris wheels and temperatures.
Sine & Cosine with Parametrics
++Need Other Resources
(Glencoe 4-4, p. 254-255)
1 day
24
Obj 102 Model real world data using
sine and cosine functions.
Real World Applications
pg 321-331
Sec 4.5
LTF: FTMD
1 day
25
Curriculum Adjustment
26
Curriculum Adjustment
27
Obj 103 Explore the graphs of tangent
and cotangent.
Tangent & Cotangent
pg 332-342
Sec 4.6
1 day
30
Obj 104 Explore the graphs of secant
and cosecant.
Secant & Cosecant
pg 332-342
Sec 4.6
1 day
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
October
Monday
Tuesday
Wednesday
1
Obj 105 Use a graphing calculator &
parametric equations to graph the sine
function and its inverse.
Inverse Trig Functions with
Parametrics
4.4 Explore Glencoe
Additional Resources Needed
1 day
7
F.TF.7 Use inverse functions to solve
trigonometric equations that arise in
modeling contexts; evaluate the
solutions using technology, and
interpret them in terms of the context.
Obj 24 Solve real-life problems
involving right triangles.
Real Life & Trig Functions
pg 353-363
Sec 4.8
1 day
Review
Test
15
Sec 5.1
Sec 5.2
28
Obj 26 (See 10/24)
Solve Trig Equations
pg 389-399
Sec 5.3
Day 2
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
Obj 25 (See 10/21)
Trig Identities
pg 374-381
pg 382-388
Day 3
29
Curriculum Adjustment
Review
17
23
24
Sec 5.1
Sec 5.2
Obj 26 Solve trigonometric equations.
Solve Trig Equations
pg 389-399
Sec 5.3
2 days
30
31
F.TF.9 & Obj 27 (See 10/30)
Sum & Difference Identities
pg 400-409
Sec 5.4
Day 2
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
18
Fall Break
F.TF.9 Prove the addition and subtraction
formulas for sine, cosine, and tangent and
use them to solve problems.
Obj 27 Use the sum and difference
identities to evaluate the sine, cosine, and
tangent functions.
Sum & Difference Identities
pg 400-409
Sec 5.4
2 days
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
11
Curriculum Adjustment
16
22
4
Obj 23 Evaluate the composition of
trigonometric functions.
Compositions of Trig Functions
pg 343-352
Sec 4.7
1 day
10
PSAT
21
Obj 25 (See 10/21)
Trig Identities
pg 374-381
pg 382-388
Day 2
3
Curriculum Adjustment
9
9 Weeks Test
Obj 25 Use trigonometric identities to
evaluate trigonometric functions, and
simplify or rewrite expressions.
Trig Identities
pg 374-381
Sec 5.1
pg 382-388
Sec 5.2
3 days
Friday
2
F.TF.6 Understand that restricting a
trigonometric function to a domain on
which it is always increasing or always
decreasing allows its inverse to be
constructed.
Obj 22 Evaluate and graph inverse
trigonometric functions.
Inverse Trig Functions
pg 343-352
Sec 4.7
1 day
8
14
9 Weeks Test
Thursday
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
25
Parent/Teacher Conference
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
November
Monday
Tuesday
Wednesday
Thursday
Friday
1
Obj 28 Use the double angle identities
to evaluate sine, cosine, and tangent
functions.
Double Angle Identies
pg 407-418
Sec 5.5
LTF: IDATCF
2 days
4
Obj 28 (See 11/1)
Double Angle Identies
pg 407-418
Sec 5.5
Day 2
5
6
Curriculum Adjustment
7
Review
11
12
13
14
N.VM.2 Find the components of a vector
by subtracting the coordinates of an initial
point from the coordinates of a terminal
point.
Obj 33 Represent the component form of
vectors using ordered pairs.
Component Form
pg 447-459
Sec 6.3
1 day
N.VM.4b Given two vectors in
magnitude and direction form,
determine the magnitude and direction
of their sum.
Magnitude Direction and Unit Vectors
pg 447-459
Sec 6.3
1 day
N.VM.5 Multiply a vector by a scalar.
Obj 34 Add, subtract, multiply, and find
the magnitude of vectors algebraically.
Add, Subtract, Multiply, and Find
Magnitudes
pg 447-459
Sec 6.3
1 day
N.VM.3 Solve problems involving
velocity and other quantities that can
be represented by vectors.
Obj 35 Use vectors to model and solve
real-life problems.
Applications
pg 447-459
Sec 6.3
LTF: AV
1 day
18
19
Obj 37 Graph polar coordinates and
simple polar equations.
Polar coordinates
pg 785-792
Sec 10.8
LTF: GPE
1 day
Test
25
26
Obj 38 (See 11/22)
Domain
Additional Resources needed
Day 2
Obj 39
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
Points of Intersections
Additional Resources needed
1 day
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
20
Polar Coordinate Activity
MathShip
1 day
8
N.VM.1 Recognize vector quantities as having both
magnitude and direction. Represent vector quantities by
directed line segments, and use appropriate symbols for
vectors and their magnitudes (e.g., v, |v|, ||v||, v).
N.VM.4a Add vectors end-to-end, component-wise, and
by the parallelogram rule. Understand that the magnitude
of a sum of two vectors is typically not the sum of the
magnitudes.
N.VM.4c Understand vector subtraction v – w as v + (–w),
where –w is the additive inverse of w, with the same
magnitude as w and pointing in the opposite direction.
Represent vector subtraction graphically by connecting
the tips in the appropriate order, and perform vector
subtraction component-wise.
Obj 32 Perform basic vector operations and represent the
resultant vector graphically.
Basic Vector Operations & Graphs
pg 447-459
Sec 6.3
1 day
Test
15
Curriculum Adjustment
21
Obj 37 (See 11/19)
Graphing Polar Equations
pg 785-792
Sec 10.8
1 day
27
22
Obj 38 Determine the domain of polar
curves.
Domain
Additional Resources needed
2 days
28
29
Thanksgiving
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
December
Monday
Tuesday
Wednesday
2
3
Obj 40 Make polar and rectangular
conversions.
Convert Polar Coordinates
pg 779-784
Sec 10.7
2 days
Obj 40 (See 12/2)
Convert Polar Equations
pg 779-784
Sec 10.7
Day 2
Thursday
4
Review
9
10
11
N.CN.5 Represent addition, subtraction,
multiplication, and conjugation of
complex numbers geometrically on the
complex plane; use properties of this
representation for computation. For
example, (–1 + √3 i)3 = 8 because (–1 +
√3 i) has modulus 2 and argument 120°.
Add, Subtract, Multiply and Conjugate
Complex Numbers Geometrically
pg 470-480
Sec 6.5
2 days
De Moivve’s Theorem
pg 470-480
Sec 6.5
Day 2
16
17
Review
23
6
N.CN.3 Find the conjugate of a complex
number; use conjugates to find moduli
and quotients of complex numbers.
N.CN.6 Calculate the distance between
numbers in the complex plane as the
modulus of the difference, and the
midpoint of a segment as the average
of the numbers at its endpoints.
Moduli, Distance and Midpoint of
Complex Numbers
pg 470-480
Sec 6.5
Additional Resources Needed
1 day
12
Review
18
Review
24
5
Test
N.CN.4 Represent complex numbers on
the complex plane in rectangular and
polar form (including real and
imaginary numbers), and explain why
the rectangular and polar forms of a
given complex number represent the
same number.
Rectangular and Polar form of
Complex Numbers
pg 470-480
Sec 6.5
1 day
Review
Friday
13
Test
19
Semester Test
25
20
Semester Test
26
27
Winter Break, Dec. 23 - Jan. 7
30
31
Winter Break
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
January
Monday
Tuesday
Wednesday
Thursday
1
Friday
2
3
Winter Break
6
7
8
9
10
G.SRT.10 Prove the Laws of Sines and
Cosines and use them to solve
problems.
Obj 29 Use the Law of Sines to solve a
triangle.
Law of Sines and Ambiguous Case
pg 429-438
Sec 6.1
3 days
G.SRT.10 & Obj 29 (See 1/7)
Law of Sines and Ambiguous Case
pg 429-438
Sec 6.1
Day 2
G.SRT.10 & Obj 29 (See 1/7)
Law of Sines and Ambiguous Case
pg 429-438
Sec 6.1
Day 2
G.SRT.10 (See 1/7)
Obj 31 Use the Law of Cosines to solve
a triangle.
Law of Cosines
pg 439-446
Sec 6.2
1 day
13
14
15
16
G.SRT.9 Derive the formula A = 1/2 ab
sin(C) for the area of a triangle by
drawing an auxiliary line from a vertex
perpendicular to the opposite side.
Obj 30 Find the area of triangle.
Area of a Triangle
pg 429-438
Sec 6.1
pg 439-446
Sec 6.2
1 day
Obj 29 (See 1/7) Obj 31 (See 1/10)
Obj 30 (See 1/13)
G.SRT.11 Understand and apply the
Law of Sines and the Law of Cosines to
find unknown measurements in right
and non-right triangles (e.g., surveying
problems, resultant forces).
Applications
pg 429-438
Sec 6.1
pg 439-446
Sec 6.2
1 day
Record Day
20
MLK Jr Day
Sec 12.2
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
Test
21
22
23
Obj 74 (See 1/17)
End Behavior with Limit Notation
pg 852-862
Sec 12.1
pg 887-891
Sec 12.4
Day 2
Obj 75 Use technology to explore and
determine convergence and
divergence.
Convergence & Divergence
pg 852-862
Sec 12.1
2 days
Obj 76 Evaluate limits approaching a
number graphically, numerically and
analytically using direct substitutions,
cancellation techniques and
rationalizing techniques.
Limits
pg 863-872
Sec 12.2
5 days
27
Obj 76 (See 1/23)
Limits
pg 863-872
Day 3
Review
28
Obj 76 (See 1/23)
Limits
pg 863-872
Day 4
Sec 12.2
29
Obj 76 (See 1/23)
Limits
pg 863-872
Day 5
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
17
Obj 74 Determine the end behavior of a
function or a sequence of numbers.
End Behavior with Limit Notation
pg 852-862
Sec 12.1
pg 887-891
Sec 12.4
2 days
24
Obj 76 (See 1/23)
Limits
pg 863-872
Day 2
30
Curriculum Adjustment
Sec 12.2
31
Review
Sec 12.2
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
February
Monday
Tuesday
3
Test
Wednesday
Thursday
Friday
4
5
6
Obj 41 Use the average rate of change
to write the equation of lines secant to
various types of graphs.
Average Rate of Change, Equations of
Secant Lines
pg 14-24
Sec 1.2
Additional Resources Needed
LTF: DG
1 day
Obj 8 Use tables and graphs of real
world data to explore the average rate
of change.
Tables, Graphs, & Average Rate of
Change
pg 1-13
Sec 1.1
Additional Resources Needed
1 day
Obj 43 Use the Mean Value Theorem to
explore the relationship between
tangent and secant lines and solve real
world applications.
Secant & Tangent Lines
pg 25-29
Sec 1.3
Additional Recourses Needed
(Glencoe p 757-763)
LTF: RGVF
2 days
10
11
12
Obj 44 Use algebraic techniques to
simplify the difference quotient of
various types of functions while
connecting it to the average and
instantaneous rate of change.
Difference Quotient
pg 50 # 79-86
Sec 1.4
pg 63 # 77-84
Sec 1.5
1 day
Obj 46 Identify a function as odd, even
or neither analytically, and extend data
from tables and graphs of odd and even
functions.
Odd and Even from Graphs & Tables
pg 54-65
Sec 1.5
Additional Resources Needed
LTF: DG
2 days
Obj 46 (See 2/11)
Odd and Even Analytically
pg 54-65
Sec 1.5
Additional Resources Needed
LTF: GCF
Day 2
17
18
19
F.BF.4 Find inverse functions.
F.BF.4b Verify by composition that one
function is the inverse of another.
F.BF.4c Read values of an inverse function
from a graph or a table, given that the
function has an inverse.
F.BF.4d Produce an invertible function from a
non-invertible function by restricting the
domain.
Inverses: Analytically & Graphically
pg 93-102
Sec 1.9
2 days
F.BF.4, 4.b, 4c, & 4.d (See 2/17)
Obj 52 Find the inverse of a relation
graphically and algebraically.
Obj 53 Establish the existence of an
inverse function by determining if the
function is one-to-one.
Inverses: Analytically & Graphically
pg 93-102
Sec 1.9
Day 2
7
Obj 43 (See 2/6)
Secant & Tangent Lines
Additional Recourses Needed
Day 2
13
F.BF.1c Compose functions. For example, if
T(y) is the temperature in the atmosphere as
a function of height, and h(t) is the height of
a weather balloon as a function of time, then
T(h(t)) is the temperature at the location of
the weather balloon as a function of time.
Obj 51 Find the composition of functions
analytically and from table and graphs.
Composition of Functions: Analytically,
Tables, Graphs
pg 84-92
Sec 1.8
Additional Resources Needed
LTF: GCF
2 days
14
F.BF.1c & Obj 51 (See 2/13)
Composition of Functions: Analytically,
Tables, Graphs
pg 84-92
Sec 1.8
Additional Resources Needed
Day 2
20
Review
21
Test
Zone Day
24
25
26
27
28
N.CN.8 (See 2/25)
Obj 54 Analyze the graphs and
equations of quadratic functions.
Solve Quadratics Analytically Including
Complete the Square
pg 128-138
Sec 2.1
2 days
Obj 54 (See 2/24)
N.CN.8 Extend polynomial identities to
the complex numbers. For example,
rewrite x2 + 4 as (x + 2i)(x – 2i).
Graphing: Change the form, apply
transformations
pg 128-138
Sec 2.1
LTF: AA
Day 2
Obj 55 Find the zeros, solutions and
roots of quadratic, rational, & higher
order polynomial functions and connect
to their graphs.
Zeros, Factors & Graphs of Polynomial
pg 139-152
Sec 2.2
pg 153-161
Sec 2.3
pg 169-183
Sec 2.5
2 days
Obj 55 (See 2/26)
Zeros, Factors & Graphs of Polynomial
pg 139-152
Sec 2.2
pg 153-161
Sec 2.3
pg 169-183
Sec 2.5
Day 2
A.APR.5 Know and apply the Binomial
Theorem for the expansion of (x + y)n in
powers of x and y for a positive integer n,
where x and y are any numbers, with
coefficients determined for example by
Pascal’s Triangle.
Zeros, Factors & Graphs of Polynomial
pg 683-690
Sec 9.5
1 day
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
March
Monday
Tuesday
Wednesday
3
4
F.IF.7d Graph rational functions,
identifying zeros and asymptotes when
suitable factorizations are available and
showing end behavior.
Obj 59 Analyze and graph rational
equations.
Analyze & Graph Rational Equations
pg 184-196
Sec 2.6
LTF: EBRF, RATELY
2 days
F.IF.7d & Obj 59 (See 3/3)
Analyze & Graph Rational Equations
pg 184-196
Sec 2.6
Day 2
10
11
Review
Friday
5
LTF: GF
LFT: PWF
6
LTF: Writing Functions & Finding
Extrema
(Mod 9 Free Response)
1 day
12
Review
17
Thursday
13
9 Weeks Test
18
7
Curriculum Adjustment
9 Weeks Test
19
14
Parent/Teacher Conference
20
21
Spring Break
24
25
26
27
A.APR.7 Understand that rational
expressions form a system analogous to
the rational numbers, closed under
addition, subtraction, multiplication,
and division by a nonzero rational
expression; add, subtract, multiply, and
divide rational expressions.
Obj 106 Simplify rational expressions by
adding, subtracting, multiplying, or
dividing.
1 day
Obj 80 Solve polynomial and rational
inequalities and use them to model
real-life problems.
Rational Inequalities
pg 197-206
Sec 2.7
LTF: SA
2 days
Obj 80 (See 3/24)
Rational Inequalities
pg 197-206
Sec 2.7
Day 2
Obj 60 Find partial fraction
decompositions of rational expressions.
Partial Fraction Decomposition
pg 533-540
Sec 7.4
1 day
28
Quiz
31
Obj 63 Graph and apply exponential
functions using real-world data.
Graph & Apply Exponential Functions
pg 218-228
Sec 3.1
LTF: EF
1 day
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
April
Monday
Tuesday
Wednesday
1
F.BF.5 Understand the inverse relationship
between exponents and logarithms and use
this relationship to solve problems involving
logarithms and exponents.
Obj 64 Graph logarithmic functions.
Graph Log Functions
pg 229-238
Sec 3.2
1 day
7
8
Obj 66 (See 4/4)
Solve Exponential and Log Equations
pg 246-256
Sec 3.4
Day 2
F.BF.5 (See 4/1)
Obj 67 Use logistic, logarithmic, and
exponential models to solve real-world
applications.
Solve Logistic, Exponential and
Logarithmic Equations
pg 257-269
Sec 3.5
LTF: RHI
1 day
14
A.REI.8 Represent a system of linear
equations as a single matrix equation in a
vector variable.
N.VM.6 Use matrices to represent and
manipulate data, e.g., to represent payoffs or
incidence relationships in a network.
Intro to Matrices
pg 572-586
Sec 8.1
1 day
21
22
N.VM.10 Understand that the zero and
identity matrices play a role in matrix
addition and multiplication similar to the role
of 0 and 1 in the real numbers. The
determinant of a square matrix is nonzero if
and only if the matrix has a multiplicative
inverse.
Determinates
pg 611-618
Sec 8.4
1 day
N.VM.12 Work with 2 × 2 matrices as
transformations of the plane, and
interpret the absolute value of the
determinant in terms of area.
Area and Application
pg 619-630
Sec 8.5
1 day
28
Friday
2
3
4
Obj 65 Use the properties of logarithms
to rewrite and simplify logarithmic
expressions.
Properties of Logarithms
pg 239-245
Sec 3.3
2 days
Obj 65 (See 4/2)
Properties of Logarithms
pg 239-245
Sec 3.3
Day 2
Obj 66 Solve exponential and
logarithmic equations.
Solve Exponential and Log Equations
pg 246-256
Sec 3.4
2 days
9
Review
15
N.VM.7 Multiply matrices by scalars to
produce new matrices, e.g., as when all of
the payoffs in a game are doubled.
N.VM.8 Add, subtract, and multiply
matrices of appropriate dimensions.
Add, Subtract and Scalar Multiplication
pg 587-601
Sec 8.2
1 day
Thursday
10
16
N.VM.8 (See 4/15)
N.VM.9 Understand that, unlike
multiplication of numbers, matrix
multiplication for square matrices is not a
commutative operation, but still satisfies the
associative and distributive properties.
Multiplication of Matrices
pg 587-601
Sec 8.2
1 day
Test
17
N.VM.11 Multiply a vector (regarded as a
matrix with one column) by a matrix of
suitable dimensions to produce another
vector. Work with matrices as
transformations of vectors.
Introduce Graphing Calculator and Vectors
Additional Resources Needed
1 day
23
Review
29
11
Curriculum Adjustment
18
A.REI.9 Find the inverse of a matrix if it
exists and use it to solve systems of
linear equations (using technology for
matrices of dimension 3 × 3 or greater).
Inverse & Solve Matrices
pg 602-610
Sec 8.3
1 day
24
Test
25
Curriculum Adjustment
30
G.GPE.2 Derive the equation of a
parabola given a focus and directrix.
Parabola
pg 735-743
Sec 10.2
1 day
G.GPE.3 Derive the equations of ellipses and
hyperbolas given the foci, using the fact that
the sum or difference of distances from the
foci is constant.
Circle & Ellipse
pg 744-752
Sec 10.3
1 day
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
G.GPE.3 (See 4/29)
Hyperbolas
pg 753-762
1 day
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
Sec 10.4
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions
PreAP Math Analysis Calendar 2013-2014
May
Monday
Tuesday
Wednesday
Thursday
Friday
1
G.GMD.2 Give an informal argument
using Cavalieri’s principle for the
formulas for the volume of a sphere
and other solid figures.
Cavalieri’s Principle
Additional Resources Needed
1 day
5
S.MD.1 Define a random variable for a
quantity of interest by assigning a
numerical value to each event in a sample
space; graph the corresponding probability
distribution using the same graphical
displays as for data distributions.
Probability distribution
pg 664-665
Sec 11.2
Glencoe Text
1 day
6
S.MD.2 Calculate the expected value
of a random variable; interpret it as
the mean of the probability
distribution.
Mean of Probability Distribution
pg 666-667
Sec 11.2
Glencoe Text
1 day
12
S.MD.6 Use probabilities to make fair decisions
(e.g., drawing by lots, using a random number
generator).
S.MD.7 Analyze decisions and strategies using
probability concepts (e.g., product testing,
medical testing, pulling a hockey goalie at the end
of a game).
Obj 107: Use probabilities to make fair decisions.
Make decisions based on expected values to
compare long term benefit situations. Analyze
decisions & strategies using probability concepts.
13
Curriculum Adjustment
19
Review
Review
AA: Area and Algebra
AAPC: Adaption of AP Calculus 1997
AV: Applications of Vectors
AVPC: Absolute value in Preparation for Calculus
CPF: Conics in Parametric Form
DG: Describing Graphs
EBRF: End Behavior of rational Functions
8
S.MD.5 Weigh the possible
outcomes of a decision by assigning
probabilities to payoff values and
finding expected values.
See up a Probability Distribution
Additional Resources Needed
2 days
14
Review
20
26
Memorial Day
7
S.MD.3 Develop a probability distribution for a random variable
defined for a sample space in which theoretical probabilities
can be calculated; find the expected value. For example, find
the theoretical probability distribution for the number of correct
answers obtained by guessing on all five questions of a multiplechoice test where each question has four choices, and find the
expected grade under various grading schemes.
S.MD.4 Develop a probability distribution for a random variable
defined for a sample space in which probabilities are assigned
empirically; find the expected value. For example, find a current
data distribution on the number of TV sets per household in the
United States, and calculate the expected number of sets per
household. How many TV sets would you expect to find in 100
randomly selected households?
Theoretical and Empirical Probability
Additional resources
1 day
21
27
9
S.MD.5 (See 5/8)
See up a Probability Distribution
Additional Resources Needed
Day 2
15
Test
Semester Tests
2
Curriculum Adjustment
22
23
Last Day of School
29
30
Semester Tests
28
16
Review
Record Day OR
Last Day of School if
Snow Day Needed
EF: Exponential Functions
FF: Frantic Functions
FTMD: Fitting Trig Models to Data
GCF: Graphing One Step at time- composition of Functions
GF: generic functions
GPE: graphing Polar Equations
IDATCF: Investigating double Argument Trigonometric/ Circular Functions
IF: Investigating Functions
IF: Investigating functions
IS: Infinite Summing
LTS: Linking Trig and Statistics
MDP: Motion Defined Parametrically
PWF: Piecewise Functions
PFC: Parent Function Charades
PFC: Parent Functions Charades
RATELY: Rately, A Graphing Organizer
RFA: Rational Functions and their Asymptotes
RGVF: Reading the Graph of a Velocity Functions
RHI: Rumor Has It
SA: Sign Analysis
SPG: A Study of Population Growth
SSLL: Slopes of Secant Lines and Limits
TND: Transformation Numerical Data (Mod 11)
TDR: Transforming Domain & Range (Mod 11)
TS: Transformation Story (Mod 11)
WPGTF: window Pane Graphing of Trig Functions