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Algebra II Calendar 2013-2014
August
Monday
Tuesday
Wednesday
Thursday
Friday
1
2
5
6
7
8
9
12
13
14
15
16
In-Service Day
In-Service Day
In-Service Day
1st Day Procedures
F.BF.2 (See 8/19) F.LE.2 (See 8/20)
Analyze Arithmetic Sequences
pg 802-809
Sec 12.2
1 day
19
20
21
22
23
F.LE.2 (See 8/20)
F.BF.2 Write arithmetic and geometric
sequences both recursively and with an
explicit formula, use them to model
situations, and translate between the two
forms.
Graph Arith Sequence
pg 802-809
Sec 12.2
1 day
F.BF.2 (See 8/19) A.SSE.4 (See 8/21)
F.LE.2 Construct linear and exponential
functions, including arithmetic and
geometric sequences, given a graph, a
description of a relationship, or two
input-output pairs (include reading
these from a table).
Analyze Geometric Sequence
pg 810-819
Sec 12.3
1 day
F.BF.2 (See 8/19) F.LE.2 (See 8/20)
A.SSE.4 Derive the formula for the sum
of a finite geometric series (when the
common ratio is not 1), and use the
formula to solve problems. For
example, calculate mortgage payments.
Geometric Sequences
(Graphing)
pg 810-819
Sec 12.3
1 day
F.BF.2 (See 8/19) F.LE.2 (See 8/20)
A.SSE.4 (See 8/21)
Geometric Series
pg 810-819
Sec 12.3
LTF: TAPP, p. 20
1 day
F.LE.2 (See 8/20)
Find Sums of Infinite Geometric Series
pg 820-826
Sec 12.4
1 day
29
30
26
27
F.BF.1 (See 8/27)
F.IF.3 Recognize that sequences are
functions, sometimes defined recursively,
whose domain is a subset of the integers. For
example, the Fibonacci sequence is defined
recursively by f(0) = f(1) = 1, f(n+1) = f(n) +
f(n-1) for n ≥ 1.
F.IF.3 (See 8/26)
F.BF.1 Write a function that describes a
relationship between two quantities.
Use Recursive Rules w/ Seq &
Functions
pg 827-833
Sec 12.5
Day 2
28
Review
Test
Labor Day
Use Recursive Rules w/ Seq & Functions
pg 827-833
Sec 12.5
2 days
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
September
Monday
Tuesday
2
Wednesday
3
Thursday
4
A.REI.6 Solve systems of linear equations
exactly and approximately (e.g., with graphs),
focusing on pairs of linear equations in two
variables.
Solve Linear Systems by Graphing
pg 153-158
Sec 3.1
LTF Mod 2: SSLE, p. 16
Supplemental Material s Needed
1 day
In-Service Day
Labor Day
9
10
11
A.REI.6 (See 9/4)
Linear Applications
pg 160-167
Sec 3.1 & 3.2
Additional Resources Needed
Day 3
A.REI.11 Explain why the x-coordinates of the
points where the graphs of the equations y = f(x)
and y = g(x) intersect are the solutions of the
equation f(x) = g(x); find the solutions
approximately, e.g., using technology to graph
the functions, make tables of values, or find
successive approximations. Include cases where
f(x) and/or g(x) are linear, polynomial, rational,
absolute value, exponential, and logarithmic
functions.
Graph Systems of Linear Inequalities
pg 168-177
Sec 3.3
1 day
A.REI.11 (See 9/10)
Solve Systems of Linear Equations in 3
Variables
pg 178-185
Sec 3.4
2 days
16
F.BF.3 Identify the effect on the graph of replacing
f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific
values of k (both positive and negative); find the
value of k given the graphs. Experiment with cases
and illustrate an explanation of the effects on the
graph using technology. Include recognizing even
and odd functions from their graphs and algebraic
expressions for them.
Graph Quadratic Functions in Standard Form
pg 236-243
Sec 4.1
1 day
17
F.BF.3 (See 9/16)
Graph Quadratic Functions in Vertex or
Intercept Form
pg 245-251
Sec 4.2
3 days
18
F.BF.3 (See 9/16)
Graph Quadratic Functions in Vertex or
Intercept Form
pg 245-251
Sec 4.2
Day 2
Friday
5
A.REI.6 (See 9/4)
Solve Linear Systems Algebraically
pg 160-167
Sec 3.2
3 days
6
A.REI.6 (See 9/4)
Solve Linear Systems Algebraically
pg 160-167
Sec 3.2
Day 2
12
A.REI.11 (See 9/10)
Solve Systems of Linear Equations in 3
Variables
pg 178-185
Sec 3.4
Day 2
19
F.BF.3 (See 9/16)
Graph Quadratic Functions in Vertex or
Intercept Form
pg 245-251
Sec 4.2
McDougal On-line Supplemental Lesson:
Theoretical & Reasonable Domain &
Range
LTF: AWQF, p. 33-34
QO Mod 9, p. 32
Day 3
23
24
25
26
G.GPE.2 Derive the equation of a parabola
given a focus and directrix.
Graph & Write Quadratic Functions in
Vertex or Intercept Form
pg 620-625
Sec 9.2
Translate & Classify Conics
pg 650-657
Sec 9.6
1 day
A.REI.4b Solve quadratic equations by
inspection (e.g., for x2 = 49), taking square
roots, completing the square, the quadratic
formula and factoring, as appropriate to the
initial form of the equation. Recognize when
the quadratic formula gives complex
solutions and write them as a ± bi for real
numbers a and b.
Solve x2+bx+c=0 By Factoring; Factor & Solve
Polynomial Equations
pg 252-258
Sec 4.3
1 day
A.REI.4b (See 9/24)
A.APR.4 (See 9/26)
A.SSE.2 Use the structure of an expression to
identify ways to rewrite it. For example, see
x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a
difference of squares that can be factored as
(x2 – y2)(x2 + y2).
Solve ax2+bx+c=0 By Factoring; Factor &
Solve Polynomial Equations
pg 259-265
Sec 4.4/5.4
LTF: AWLF, p. 16
2 days
A.REI.4b (See 9/24)
A.SSE.2 (See 9/25)
A.APR.4 Prove polynomial identities and use
them to describe numerical relationships. For
example, the polynomial identity (x2 + y2)2 =
(x2 – y2)2 + (2xy)2 can be used to generate
Pythagorean triples.
Solve ax2+bx+c=0 By Factoring; Factor &
Solve Polynomial Equations
pg 259-265
Sec 4.4/5.4
LTF: RQ, p. 44-45
Day 2
13
Quiz/Test
20
F.BF.4a Solve an equation of the form
f(x) = c for a simple function f that has
an inverse and write an expression for
the inverse. For example, f(x) =2 x3 for x
> 0 or f(x) = (x+1)/(x–1) for x ≠ 1.
Use Inverse Functions (Parabolas)
pg 438-445
Sec 6.4
1 day
27
A.REI.4b (See 9/24)
Solve Quadratic Equations By Finding
Square Roots
pg 266-271
Sec 4.5
1 day
30
Curriculum Adjustment
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
October
Monday
Tuesday
Wednesday
1
7
Sec 4.7
8
G.GPE.2 Derive the equation of a parabola
given a focus and directrix.
Translate & Classify Conic Sections
(Parabolas Only)
pg 650-657
Sec 9.6
Additional Resources Needed
1 day
14
9 Weeks Test
21
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
10
17
23
24
A.APR.3 (See 10/31)
F.IF.4 For a function that models a relationship
between two quantities, interpret key features of
graphs and tables in terms of the quantities, and
sketch graphs showing key features given a verbal
description of the relationship. Key features include:
intercepts; intervals where the function is increasing,
decreasing, positive, or negative; relative maximums
and minimums; symmetries; end behavior; and
periodicity.
Analyze Graphs of Polynomial Functions
pg 387-392
Sec 5.8
LTF QO
1 day
30
31
A.APR.2 Know and apply the
Remainder Theorem: For a polynomial
p(x) and a number a, the remainder on
division by x – a is p(a), so p(a) = 0 if
and only if (x – a) is a factor of p(x).
Apply the Remainder and Factor
Theorems (Synthetic Only)
pg 362-368
Sec 5.5
1 day
A.APR.3 Identify zeros of polynomials when
suitable factorizations are available, and use
the zeros to construct a rough graph of the
function defined by the polynomial.
N.CN.9 (+) Know the Fundamental Theorem
of Algebra; show that it is true for quadratic
polynomials.
Find Rational Zeros; Apply Fundamental
Theorem Algebra
pg 370-386
Sec 5.6/5.7
3 days
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
11
Review
18
Fall Break
F.IF.7c Graph polynomial functions,
identifying zeros when suitable
factorizations are available, and
showing end behavior.
Evaluate & Graph Polynomial
Functions
pg 337-344
Sec 5.2
1 day
29
Curriculum Adjustment
4
N.CN.7 (See 10/3)
A.REI.4b Solve quadratic equations by
inspection (e.g., for x2 = 49), taking square roots,
completing the square, the quadratic formula
and factoring, as appropriate to the initial form
of the equation. Recognize when the quadratic
formula gives complex solutions and write them
as a ± bi for real numbers a and b.
Complete the Square
pg 284-291
Sec 4.7
LTF: CTS
2 days
Review
16
22
28
F.IF.6 Calculate and interpret the average rate of change of
a function (presented symbolically or as a table) over a
specified interval. Estimate the rate of change from a graph.
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.
Describe and Compare Function Characteristics
(Average Rate of Change: Even and Odd)
CC9-CC16
Sec 8.6A
LTF: IIN
GT Mod 11, p.76-81
1 day
3
9 Weeks Test
A.REI.4b (See 10/4)
Graph & Solve Quadratic Inequalites
pg 300-307
Sec 4.9
1 day
Friday
A.REI.4b (See 10/4)
N.CN.7 Solve quadratic equations with
real coefficients that have complex
solutions.
Use the Quadratic Formula and the
Discriminant
pg 292-299
Sec 4.8
LTF Mod 10: QO, p. 32
1 day
9
Curriculum Adjustment
15
Review
A.REI.7 Solve a simple system consisting of a linear
equation and a quadratic equation in two variables
algebraically and graphically. For example, find the
points of intersection between the line y = –3x and
the circle x2 + y2 = 3.
Solve Quadratic Systems
pg 658-664
Sec 9.7
1 day
2
A.REI.4b (See 10/4)
N.CN.1 Know there is a complex number i
such that i2 = –1, and every complex number
has the form a + bi with a and b real.
N.CN.2 Use the relation i2 = –1 and the
commutative, associative, and distributive
properties to add, subtract, and multiply
complex numbers.
Perform Operations with Complex Numbers
pg 275-282
Sec 4.6
1 day
Quiz/ MidChapter Test
N.CN.7 (See 10/3)
A.REI.4b (See 10/4)
Complete the Square
pg 284-291
Day 2
Thursday
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
25
Parent/Teacher Conference
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
November
Monday
Tuesday
Wednesday
Thursday
Friday
1
A.APR.3 Identify zeros of polynomials when
suitable factorizations are available, and use
the zeros to construct a rough graph of the
function defined by the polynomial.
N.CN.9 (+) Know the Fundamental Theorem
of Algebra; show that it is true for quadratic
polynomials.
Find Rational Zeros
Apply Fundamental Theorem Algebra
pg 370-386
Sec 5.6/5.7
Day 2
4
5
A.APR.3 & N.CN.9 (See 11/1)
Find Rational Zeros
Apply Fundamental Theorem Algebra
(Parabolas Only)
pg 370-386
Sec 5.6/5.7
Day 3
6
Review
7
F.BF.1b Combine standard function types
using arithmetic operations. For example,
build a function that models the temperature
of a cooling body by adding a constant
function to a decaying exponential, and
relate these functions to the model.
Perform Function Operations and
Composition
pg 428-434
Sec 6.3
2 days
Quiz Test
8
F.BF.1b (See 11/7)
Perform Function Operations and
Composition
pg 428-434
Sec 6.3
Day 2
11
12
13
14
15
F.BF.4a Solve an equation of the form f(x) = c
for a simple function f that has an inverse
and write an expression for the inverse. For
example, f(x) =2 x3 for x > 0 or f(x) = (x+1)/(x–
1) for x ≠ 1.
Use Inverse Functions
(Inverse of Rationals)
pg 438-446
Sec 6.4
Additional Resources Needed
2 days
F.BF.4a (See 11/11)
Use Inverse Functions
(Inverse of Rationals)
pg 438-446
Sec 6.4
Additional Resources Needed
Day 2
A.APR.6 Rewrite simple rational expressions
in different forms; write a(x)/b(x) in the form
q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x)
are polynomials with the degree of r(x) less
than the degree of b(x), using inspection,
long division, or, for the more complicated
examples, a computer algebra system.
Apply the Remainder and Factor Theorems
(Long Division)
pg 362-368
Sec 5.5
1 day
F.IF.7 Graph functions expressed
symbolically and show key features of
the graph, by hand in simple cases and
using technology for more complicated
cases.
Graph Simple Rational Functions
pg 558-563
Sec 8.2
LTF Mod 8: EFE
1 day
A.APR.6 (See 11/13)
Rewrite Rational Expressions
CC5-CC6
Sec 8.2A
1 day
19
20
18
F.IF.7d (+) Graph rational functions, identifying
zeros and asymptotes when suitable factorizations
are available, and showing end behavior.
Graph General Rational Functions
(Includes Slant Asymptote)
pg 565-571
Sec 8.3
2 days
F.IF.7d (See 11/18)
Graph General Rational Functions
(Includes Slant Asymptote)
pg 565-571
Sec 8.3
LTF Mod 8: EFE
Day 2
25
A.APR.6 (See 11/13)
Add and Subtract Rational Expressions
pg 582-588
Sec 8.5
Day 2
Curriculum Adjustment
26
A.APR.6 (See 11/13)
Add and Subtract Rational Expressions
pg 582-588
Sec 8.5
Day 3
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
21
A.APR.6 (See 11/13)
Multiply and Divide Rational
Expressions
pg 573-580
Sec 8.4
1 day
27
22
A.APR.6 (See 11/13)
Add and Subtract Rational Expressions
pg 582-588
Sec 8.5
3 days
28
Thanksgiving
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
29
Algebra II Calendar 2013-2014
December
Monday
Tuesday
Wednesday
Thursday
2
3
4
A.REI.2 (See 12/3)
A.REI.1 Explain each step in solving a simple
equation as following from the equality of
numbers asserted at the previous step,
starting from the assumption that the
original equation has a solution. Construct a
viable argument to justify a solution method.
Solve Rational Functions
pg 589
Sec 8.6
2 days
A.REI.1 (See 12/2)
A.REI.2 Solve simple rational and
radical equations in one variable, and
give examples showing how extraneous
solutions may arise.
Solve Rational Functions
pg 589
Sec 8.6
LTF Mod 9
RFOP, p. 59-64
Day 2
A.REI.11 Explain why the x-coordinates
of the points where the graphs of the
equations y = f(x) and y = g(x) intersect
are the solutions of the equation f(x) =
g(x); find the solutions approximately,
e.g., using technology to graph the
functions, make tables of values, or find
successive approximations. Include
cases where f(x) and/or g(x) are linear,
polynomial, rational, absolute value,
exponential, and logarithmic functions.
Solve Rational Inequalities
pg 598
Sec 8.6 Extension
1 day
9
N.RN.1 (See 12/10)
N.RN.2 Rewrite expressions involving
radicals and rational exponents using the
properties of exponents.
Evaluate Nth Roots and Use Rational
Exponents
pg 414
Sec 6.1
1 day
Friday
5
Review
10
11
12
N.RN.1 Explain how the definition of
the meaning of rational exponents
follows from extending the properties
of integer exponents to those values,
allowing for a notation for radicals in
terms of rational exponents. For
example, we define 51/3 to be the cube
root of 5 because we want (51/3)3 = 5(1/3)3
to hold, so (51/3)3 must equal 5.
Use and Apply Properties of Exponents
pg 330/ pg 420
Sec 5.1/ 6.2
2 days
N.RN.1 (See 12/10)
Use and Apply Properties of Exponents
pg 330/ pg 420
Sec 5.1/ 6.2
Day 2
N.RN.1 (See 12/10)
Binomials Continuing Radicals
Additional Resources Needed
pg 420-427
Sec 6.2
McDougal On-line Supplemental
Lessons:
 Binomials Containing Radicals
 Sum of Radicals
 Using Radicals
1 day
17
18
19
16
Review
Review
23
Semester Test
24
6
Test
Semester Test
25
13
Review
20
Semester Test
26
Winter Break, Dec. 23 - Jan. 7
30
31
Winter Break
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
27
Algebra II Calendar 2013-2014
January
Monday
Tuesday
Wednesday
Thursday
Friday
1
2
3
Winter Break
6
Record Day
7
8
9
10
F.BF.4a Solve an equation of the form f(x) = c
for a simple function f that has an inverse
and write an expression for the inverse. For
example, f(x) =2 x3 for x > 0 or f(x) = (x+1)/(x–
1) for x ≠ 1.
Use Inverse Functions (radicals)
pg 438-445
Sec 6.4
1 day
F.IF.4 For a function that models a relationship between
two quantities, interpret key features of graphs and
tables in terms of the quantities, and sketch graphs
showing key features given a verbal description of the
relationship. Key features include: intercepts; intervals
where the function is increasing, decreasing, positive, or
negative; relative maximums and minimums; symmetries;
end behavior; and periodicity.
Graph Square & Cube Root Functions
pg 446-451
Sec 6.5
1 day
A.REI.2 (See 1/10)
A.REI.1 Explain each step in solving a simple
equation as following from the equality of numbers
asserted at the previous step, starting from the
assumption that the original equation has a solution.
Construct a viable argument to justify a solution
method.
Solve Radical Equations
pg 452-459
Sec 6.6
2 days
A.REI.1 (See 1/9)
A.REI.2 Solve simple rational and radical
equations in one variable, and give examples
showing how extraneous solutions may arise.
Solve Radical Equations
pg 452-459
Sec 6.6
Day 2
14
15
16
13
A.REI.1 (See 1/9)
A.REI.2 (See 1/10)
Solve Radical Inequalities
pg 462
Sec 6.6 Extension
1 day
Curriculum Adjustment
20
MLK Jr Day
Test
21
22
23
24
F.BF.3 (See 1/22) F.BF.1 (See 1/22) F.IF.7e (See 1/23)
F.IF.4 (See 1/8)
A.SSE.3c Use the properties of exponents to transform
expressions for exponential functions. For example the
12t
expression 1.15t can be rewritten as (1.151/12)12t
to reveal the approximate equivalent monthly interest
rate if the annual rate is 15%.
F.IF.8b Use the properties of exponents to interpret
expressions for exponential functions. For example,
identify percent rate of change in functions such as y =
(1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify
them as representing exponential growth or decay.
F.LE.5 Interpret the parameters in a linear or exponential
function in terms of a context.
Include Compound Interest; Graph Exponential Growth/
Decay Functions
pg 478-491 CC2
Sec 7.1/ 7.2/ 7.2A
LTF Mod 8: SPG, p. 27-32
Day 2
A.SSE.3c (See 1/21) F.IF.8b (See 1/21)
F.LE.8.5(See 1/21) F.IF.7e (See 1/23) F.IF.4 (See 1/8)
F.BF.1 Write a function that describes a relationship
between two quantities.
F.BF.3 Identify the effect on the graph of replacing f(x) by
f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k
(both positive and negative); find the value of k given the
graphs. Experiment with cases and illustrate an
explanation of the effects on the graph using technology.
Include recognizing even and odd functions from their
graphs and algebraic expressions for them.
Include Compound Interest; Graph Exponential Growth/
Decay Functions
pg 478-491, CC2
Sec 7.1/ 7.2/ 7.2A
LTF: SPG Mod 10, 27-32
Day 3
F.IF.4 (See 1/8) F.BF.5 (See 1/24)
F.IF.7e Graph exponential and
logarithmic functions, showing
intercepts and end behavior, and
trigonometric functions, showing
period, midline, and amplitude.
Use Functions Involving ‘e’ Interest
Compounded Continuously (include
graphing)
pg 492-498
Sec 7.3
1 day
F.BF.5 (+) Understand the inverse
relationship between exponents and
logarithms and use this relationship to
solve problems involving logarithms
and exponents.
Evaluate & Graph Log Functions
pg 499-506
Sec 7.4
1 day
27
F.BF.5 (See 1/24)
Evaluate & Graph Log Functions
pg 499-506
Sec 7.4
LTF: ENLF
Day 2
Review
17
A.SSE.3c (See 1/21) F.IF.8b (See 1/21)
F.LE.5(See 1/21) F.BF.3 (See 1/22) F.BF.1
(See 1/22) F.IF.7e (See 1/23) F.IF.4 (See 1/8)
Include Compound Interest; Graph
Exponential Growth/ Decay Functions
pg 478-491, CC2
Sec 7.1/ 7.2/ 7.2A
LTF Mod 8: AI, p. 8-10
3 days
28
F.BF.5 (See 1/24)
Supporting Other Objectives
Apply Properties of Logs
pg 507-514
Sec 7.5
1 day
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
29
30
31
A.CED.1 (See 1/30) A.REI.11 (See 1/31)
F.LE.4 For exponential models, express as a
logarithm the solution to abct = d where a, c,
and d are numbers and the base b is 2, 10, or
e; evaluate the logarithm using technology.
Solve Exponential & Logarithmic Equations
pg 515-525
Sec 7.6
2 days
F.LE.4 (See 1/29) A.REI.11 (See 1/31)
A.CED.1 Create equations and inequalities in
one variable and use them to solve problems.
Include equations arising from linear and
quadratic functions, and simple rational and
exponential functions.
Solve Exponential & Logarithmic Equations
pg 515-525
Sec 7.6
Day 2
A.REI.11 Explain why the x-coordinates of the points
where the graphs of the equations y = f(x) and y =
g(x) intersect are the solutions of the equation f(x) =
g(x); find the solutions approximately, e.g., using
technology to graph the functions, make tables of
values, or find successive approximations. Include
cases where f(x) and/or g(x) are linear, polynomial,
rational, absolute value, exponential, and logarithmic
functions.
Inequalities
pg 526-527
Sec 7.6 Extension
1 day
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
February
Tuesday
Wednesday
Monday
3
4
F.IF.4 For a function that models a relationship between two quantities,
interpret key features of graphs and tables in terms of the quantities, and
sketch graphs showing key features given a verbal description of the
relationship. Key features include: intercepts; intervals where the function
is increasing, decreasing, positive, or negative; relative maximums and
minimums; symmetries; end behavior; and periodicity.
A.CED.1 Create equations and inequalities in one variable and use them
to solve problems. Include equations arising from linear and quadratic
functions, and simple rational and exponential functions.
S.ID.6a Fit a function to the data; use functions fitted to data to solve
problems in the context of the data. Use given functions or choose a
function suggested by the context. Emphasize linear and exponential
models.
Write & Apply Exponential and Power Functions
pg 529-536
Sec 7.7
LTF: ASTG
1 day
5
Curriculum Adjustment
10
11
S.MD.5.b Evaluate and compare strategies on the
basis of expected values. For example, compare a
high-deductible versus a low-deductible automobile
insurance policy using various, but reasonable,
chances of having a minor or a major accident.
Define and Use Probability
pg 698-704
Sec 10.3
1 day
17
18
S.CP.5 (See 2/18) S.CP.6 (See 2/18)
S.CP.8 (See 2/18)
S.CP.2 Understand that two events A and B are independent if the
probability of A and B occurring together is the product of their
probabilities, and use this characterization to determine if they are
independent.
S.CP.3 Understand the conditional probability of A given B as P(A and
B)/P(B), and interpret independence of A and B as saying that the
conditional probability of A given B is the same as the probability of A,
and the conditional probability of B given A is the same as the probability
of B.
S.CP.4 Construct and interpret two-way frequency tables of data when
two categories are associated with each object being classified. Use the
two-way table as a sample space to decide if events are independent and
to approximate conditional probabilities. For example, collect data from a
random sample of students in your school on their favorite subject among
math, science, and English. Estimate the probability that a randomly
selected student from your school will favor science given that the student
is in tenth grade. Do the same for other subjects and compare the results.
Find Probabilities of Independent and Dependent Events
pg 717-723
Sec 10.5
2 days
S.CP.2 (See 2/17) S.CP.3 (See 2/17)
S.CP.4 (See 2/17)
S.CP.5 Recognize and explain the concepts of
conditional probability and independence in everyday
language and everyday situations. For example,
compare the chance of having lung cancer if you are a
smoker with the chance of being a smoker if you have
lung cancer.
S.CP.6 Find the conditional probability of A given B as
the fraction of B’s outcomes that also belong to A, and
interpret the answer in terms of the model.
S.CP.8 (+) Apply the general Multiplication Rule in a
uniform probability model, P(A and B) = P(A)P(B|A) =
P(B)P(A|B), and interpret the answer in terms of the
model.
Find Probabilities of Independent and Dependent
Events
pg 717-723
Sec 10.5
Day 2
24
25
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
Test
Friday
6
Review
S.CP.9 (See 2/7)
Use Combinations and the Binomial Theorem
pg 690-697
Sec 10.2
1 day
Review
Thursday
12
Curriculum Adjustment
19
Curriculum Adjustment
7
S.CP.9 (+) Use permutations and
combinations to compute
probabilities of compound events
and solve problems.
Apply the Counting Principle &
Permutations
pg 682-689
Sec 10.1
1 day
Test
13
14
S.CP.7 (See 2/14)
S.CP.1 Describe events as subsets of a sample space
(the set of outcomes) using characteristics (or
categories) of the outcomes, or as unions,
intersections, or complements of other events (“or,”
“and,” “not”).
Find Probabilities of Disjoint and Overlapping
Events
pg 707-713
Sec 10.4
2 days
S.CP.1 (See 2/13)
S.CP.7 Apply the Addition Rule, P(A or B) =
P(A) + P(B) – P(A and B), and interpret the
answer in terms of the model.
Find Probabilities of Disjoint and
Overlapping Events
pg 707-713
Sec 10.4
Day 2
20
21
Curriculum Adjustment
Zone Day
26
27
28
SIC.2 Decide if a specified model is consistent with
results from a given data-generating process, e.g.,
using simulation. For example, a model says a
spinning coin falls heads up with probability 0.5.
Would a result of 5 tails in a row cause you to
question the model?
Use Simulation to Test an Assumption
(Include Computer Spreadsheet Practice)
CC17-CC24
Sec 10.6A
2 days
S.IC.2 (See 2/26)
Use Simulation to Test an Assumption
(Include Computer Spreadsheet
Practice)
CC17-CC24
Sec 10.6A
Day 2
S.ID.4 Use the mean and standard deviation of a data
set to fit it to a normal distribution and to estimate
population percentages. Recognize that there are
data sets for which such a procedure is not
appropriate. Use calculators, spreadsheets, and tables
to estimate areas under the normal curve.
Find Measures of Central Tendency and Dispersion
pg 744-749
Sec 11.1
McDougal Online Supplemental Lesson: Weighted
Averages & Expected Values
1 day
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
March
Monday
Tuesday
Wednesday
3
S.ID.4 Use the mean and standard deviation
of a data set to fit it to a normal distribution
and to estimate population percentages.
Recognize that there are data sets for which
such a procedure is not appropriate. Use
calculators, spreadsheets, and tables to
estimate areas under the normal curve.
Use Normal Distributions
pg 757-762
Sec 11.3
1 day
4
S.ID.4 (See 3/3)
Investigate the Shapes of Data
Distributions
CC31-CC32
Sec 11.3A
1 day
10
5
Review
17
Curriculum Adjustment
12
7
Curriculum Adjustment
13
9 Weeks Test
18
Friday
6
S.ID.4 (See 3/3)
Find the Area Under a Normal Curve
CC33
Sec 11.3B
1 day
11
Review
Thursday
9 Weeks Test
19
14
Parent/Teacher Conference
20
21
Spring Break
24
25
26
27
28
S.IC.1 Understand statistics as a process for
making inferences about population
parameters based on a random sample from
that population.
Select and Draw Conclusions from Samples
pg 766-771
Sec 11.4
1 day
S.ID.1 (See 3/24)
S.IC.4 Use data from a sample survey to
estimate a population mean or
proportion; develop a margin of error
through the use of simulation models
for random sampling.
Estimate a Population Proportion
CC34-CC35
Sec 11.4A
1 day
S.IC.6 Evaluate reports based on data.
S.IC.3 Recognize the purposes of and
differences among sample surveys,
experiments, and observational studies;
explain how randomization relates to
each.
Compare Surveys, Experiments and
Observational Studies
CC36-CC41
Sec 11.5A
1 day
S.IC.5 Use data from a randomized
experiment to compare two
treatments; use simulations to decide if
differences between parameters are
significant.
Simulate an Experimental Difference
CC42-CC43
Sec 11.5B
1 day
S.ID.6a Fit a function to the data; use
functions fitted to data to solve
problems in the context of the data.
Use given functions or choose a
function suggested by the context.
Emphasize linear and exponential
models.
Choose the Best Model for TwoVariable Data
pg 775-780
Sec 11.5
2 days
31
S.ID.6a (See 3/28)
Choose the Best Model for Two-Variable
Data
pg 775-780
Sec 11.5
Activity (p. 774)
Day 2
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
April
Monday
Tuesday
Wednesday
1
Quiz
7
FIF.7b (See 4/2)
Piecewise Functions
Additional Resources Needed
pg 130
Sec 2.7 Extension
WTL, p. 1-5
Day 4
14
EOI Review & Prep
4
F.IF.7b (See 4/2)
Piecewise Functions
Additional Resources Needed
pg 130
Sec 2.7 Extension
LTF: IAUC, p. 13-15
Day 3
9
10
EOI Review & Prep
16
EOI Review & Prep
11
EOI Review & Prep
17
EOI Review & Prep
18
EOI Review & Prep
22
23
24
25
F.TF.1 (See 4/21)
Define General Angles & Use Radian
Measures
pg 859
Sec 13.2
2 days
F.TF.1 (See 4/21)
Define General Angles & Use Radian
Measures
pg 859
Sec 13.2
Day 2
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.
Evaluate Trig Functions
pg 866
Sec 13.3
3 days
F.TF.2 (See 4/24)
Evaluate Trig Functions
pg 866
Sec 13.3
Day 2
28
F.TF.2 (See 4/24)
Evaluate Trig Functions
pg 866
Sec 13.3
Day 3
3
F.IF.7b (See 4/2)
Piecewise Functions
Additional Resources Needed
pg 130
Sec 2.7 Extension
LTF Mod 11: PFC, p. 54-67
LTF Mod 11: TPF, p. 68-75
Day 2
15
21
F.TF.1 Understand radian measure of an
angle as the length of the arc on the unit
circle subtended by the angle.
Use Trig with Right Triangles
pg 852
Sec 13.1
1 day
2
EOI Review & Prep
EOI Review & Prep
Friday
F.IF.7b Graph square root, cube root, and
piecewise-defined functions, including
step functions and absolute value
functions.
Piecewise Functions
pg 130
Sec 2.7 Extension
4 days
8
EOI Review & Prep
Thursday
29
30
F.TF.5 (See 4/30)
F.IF.4 For a function that models a
relationship between two quantities,
interpret key features of graphs and tables in
terms of the quantities, and sketch graphs
showing key features given a verbal
description of the relationship. Key features
include: intercepts; intervals where the
function is increasing, decreasing, positive, or
negative; relative maximums and minimums;
symmetries; end behavior; and periodicity.
F.IF.7 Graph functions expressed symbolically
and show key features of the graph, by hand
in simple cases and using technology for
more complicated cases.
Graph Sine, Cosine & Tangent Functions
pg 908
Sec 14.1
3 days
F.IF.4 & F.IF.7 (See 4/29)
F.TF.5 Choose trigonometric functions
to model periodic phenomena with
specified amplitude, frequency, and
midline.
Graph Sine, Cosine & Tangent
Functions
pg 908
Sec 14.1
Day 2
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
Algebra II Calendar 2013-2014
May
Monday
Tuesday
Wednesday
Thursday
Friday
1
F.TF.5 (See 5/2)
F.IF.4 For a function that models a relationship
between two quantities, interpret key features
of graphs and tables in terms of the quantities,
and sketch graphs showing key features given a
verbal description of the relationship. Key
features include: intercepts; intervals where the
function is increasing, decreasing, positive, or
negative; relative maximums and minimums;
symmetries; end behavior; and periodicity.
F.IF.7 Graph functions expressed symbolically
and show key features of the graph, by hand in
simple cases and using technology for more
complicated cases.
Graph Sine, Cosine & Tangent Functions
pg 908
Sec 14.1
Day 3
5
F.TF.5 & F.IF.7e (See 5/1)
F.BF.3 Identify the effect on the graph of replacing
f(x) by f(x) + k, k f(x),
f(kx), and f(x + k) for specific values of k (both
positive and negative); find the value of k given the
graphs. Experiment with cases and illustrate an
explanation of the effects on the graph using
technology. Include recognizing even and odd
functions from their graphs and algebraic
expressions for them.
Translate & Reflect Trig Graphs
pg 915
Sec 14.2
Day 2
6
12
7
F.TF.8 Prove the Pythagorean identity
sin2(θ) + cos2(θ) = 1 and use it to find
sin(θ), cos(θ), or tan(θ) given sin(θ),
cos(θ), or tan(θ) and the quadrant of
the angle.
Verify Trig Identities
pg 924
Sec 14.3
3 days
Curriculum Adjustment
13
S.ID.6a Fit a function to the data; use functions
fitted to data to solve problems in the context of
the data. Use given functions or choose a function
suggested by the context. Emphasize linear and
exponential models.
Write Trig Functions & Models
pg 941
Sec 14.5
1 day
Review
19
20
Review
Review
8
F.TF.8 (See 5/7)
Verify Trig Identities
pg 924
Sec 14.3
Day 2
14
Test
9
F.TF.8 (See 5/7)
Verify Trig Identities
pg 924
Sec 14.3
Day 3
15
Curriculum Adjustment
21
Review
2
F.BF.3 (See 5/5)
F.TF.5 Choose trigonometric functions
to model periodic phenomena with
specified amplitude, frequency, and
midline.
F.IF.7e Graph exponential and
logarithmic functions, showing
intercepts and end behavior, and
trigonometric functions, showing
period, midline, and amplitude.
Translate & Reflect Trig Graphs
pg 915
Sec 14.2
2 days
16
Curriculum Adjustment
22
Semester Test
23
Semester Test
Last Day of School
26
Memorial Day
27
28
29
Record Day OR
Last Day of School if
Snow Day Needed
AI: Alien Invasion
ASTG: And So They Grow
AWLF: Another Way to Look at Factoring
AWQF: Accumulation with Quadratic Function
CTS: Completing the Square
EFE: Exponential Functions Exploration
ENLF: Exponential & Natural Logarithmic Functions
GT: Graphical Transformation
IAUC: Investigating Area Under a Curve
IIN: Introducing Interval Notation
PFC: Parent Function Charades
QO: Quadratic Optimization
RFOP: A Rational Function Optimization Problem
RQ: Random Quadratics
SPG: A Study of Population Growth
SSLE: Solve Systems of Linear Equations
TAPP: The Amusement Park Problem
TPF: Transformations of Piecewise Functions
WTL: Walk the Line
30