Download Teacher: Banks, Barnett Grade: 11 Content Area: Algebra II Week

Teacher: Banks, Barnett
Week
Standard
1, 2, 3, *A.REI.3 (2 yrs),
4
A.SSE.1,
A.SSE.2,
A.SSE.4
Grade: 11
Key Vocabulary
 expression
 term
 factor
 coefficient
 polynomial
 difference of
squares
 geometric
series
5, 6, 7,
8, 9
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A.SSE.2,
A.APR.1,
A.APR.2,
A.APR.3,
A.APR.4,
A.APR. 5,
N.CN.1, N.CN.2,
N.CN.7, N.CN.8,
N.CN.9
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Content Area: Algebra II
Learning Target
I will:
 Evaluate expressions.
 Solve equations and
inequalities with one
variable.
 Recognize different ways
to write equivalent
expressions.
 Find and use the
arithmetic and geometric
sequence formulas.
I will:
system of
 Add, subtract and multiply
equations
polynomials.
Remainder
 Use the Remainder
Theorem
Theorem on polynomials.
zeros of
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Identify zeros of
polynomials
polynomials when they
operations
can be factored.
factoring
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Graph polynomials using
Pythagorean
zeros.
Triples
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Use polynomial identities
Binomial
 Use the Binomial Theorem
Theorem
to expand polynomials.
Pascal's Triangle
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Use complex numbers in
complex
the form a + bi and i² = -1.
numbers (i)
 Use the properties of
identities
equality to add, subtract
Fundamental
and multiply complex
Theorem of
numbers.
Algebra
 Extend polynomial
identities.
 Show that the
Fundamental Theorem of
Algebra is true for
quadratic polynomials.
Resources
 Glencoe Algebra 2 textbook
 Instructor created flipcharts
 thatquiz.org practice activities
 graphing calculators
 graphing software
 Promethean board
Assessment
o Observation
o bellwork
o classroom
assignments
o formative
quizzes
o summative
mini-unit
exams
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o
o
o
Glencoe Algebra 2 textbook
Instructor created flipcharts
thatquiz.org practice activities
graphing calculators
graphing software
Promethean board
Math Factor: Binomial Theorem (Pascal's
Triangle)
A Segment of: Math Factor: Binomial
Theorem (Pascal's Triangle) streaming
video
o
o
Observation
bellwork
classroom
assignments
formative
quizzes
summative
mini-unit
exams
10, 11,
12, 13,
14
A.APR.6,
A.APR.7(+),
A.REI.2,
A.REI.11, F.IF.7
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15, 16,
17, 18,
19
F.TF.1, F.TF.2,
F.TF.5, F.TF.8
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20, 21,
22, 23,
24
A.CED.1,
A.CED.2,
A.CED.3,
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I will:
rational
 Rewrite simple rational
expression
expressions in different
degree
forms.
radical
radical equation  Add, subtract, multiply
and divide rational
extraneous
expressions.
solutions
 Solve simple rational and
intersection
radical equations in one
functions
variable both with and
logarithmic
without extraneous
functions
solutions.
end behavior
 Solve sets of functions by
graphing with technology.
 Analyze functions in
different ways.
 Relate factored functions
to their polynomial graphs.
I will:
radian
 Use the length of the arc
angle
on a circle to find the
arc
radian measure of an
unit circle
angle.
subtend
 Traverse the measures of
trigonometric
angles counterclockwise
functions
around the unit circle.
coordinate
 Choose trigonometric
plane
functions to model
traverse
periodic phenomena when
periodic
given amplitude, midline
phenomena
and frequency.
amplitude
 Prove Pythagorean
frequency
identities.
midline
 Use Pythagorean identity
Pythagorean
proofs to find
identities
trigonometric functions.
proof
I will:
quantities
 Create equations and
scale
inequalities in one variable
constraints
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Glencoe Algebra 2 textbook
Instructor created flipcharts
thatquiz.org practice activities
graphing calculators
graphing software
Promethean board
o
o
o
o
o
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
Glencoe Algebra 2 textbook
Instructor created flipcharts
thatquiz.org practice activities
graphing calculators
graphing software
Promethean board
radian activity on
http://www.onlinemathlearning.com/degr
ees-radians.html
 Glencoe Algebra 2 textbook
 Instructor created flipcharts
 thatquiz.org practice activities
o
o
o
o
o
o
o
o
Observation
bellwork
classroom
assignments
formative
quizzes
summative
mini-unit
exams
Observation
bellwork
classroom
assignments
formative
quizzes
summative
mini-unit
exams
Observation
bellwork
classroom
A.CED.4
25, 26,
27, 28,
29, 30
F.IF.4, F.IF.5,
F.IF.6, F.IF.7b,
F.IF.e, F.IF.8,
F.IF.9, F.BF.1b,
F.BF.3, F.BF.4a,
F.LE.4
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viable
non-viable
axes
function
intercepts
intervals
increasing
decreasing
positive graph
negative graph
relative
maximum
relative
minimum
symmetries
end behavior
periodicity
domain
quantitative
rate of change
square root
defined
function
cube root
and use them to solve
problems.
 Create equations in two or
more variables to show
relationships between
quantities.
 Graph equations on
coordinate axes with labels
and scales.
 Show constraints by
equations or inequalities
and systems.
 Interpret when solutions of
equations/inequalities/syst
ems constraints are viable
or non-viable.
 Solve an equation for a
variable.
I will:
 Use the characteristics of a
function to find the
intercepts, increasing and
decreasing intervals,
positive or negative
correlations, relative
maximums and minimums
and symmetries.
 Find the domains for
functions.
 Find the rate of change of
a function over a given
interval.
 Graph square root, cube
root and piecewisedefined functions.
 Graph exponential and
logarithmic functions.
 Build a function that
models that models the
relationship between two
 graphing calculators
 graphing software
 Promethean board
o
o
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Glencoe Algebra 2 textbook
Instructor created flipcharts
thatquiz.org practice activities
graphing calculators
graphing software
Promethean board
Population Growth activity (network math
folder)
o
o
o
o
o
assignments
formative
quizzes
summative
mini-unit
exams
Observation
bellwork
classroom
assignments
formative
quizzes
summative
mini-unit
exams
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31, 32,
33, 34,
35, 36
S.ID.4, S.IC.1,
S.IC.2, S.IC.3,
S.IC.4, S.IC.5,
S.IC.6,
S.MD.6(+),
S.MD.7(+)
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defined
function
piecewise
defined
function
step functions
absolute value
functions
exponential
functions
logarithmic
functions
inverse
functions
exponential
model
mean
standard
deviation
data set
normal
distribution
population
normal curve
inference
simulation
sample
randomization
probability
control
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quantities.
Build new functions from
existing functions.
Use transformations of
functions to find models.
Construct and compare
linear, quadratic, and
exponential models to
solve problems.
Solve the equation for a
simple function f that has
an inverse and write an
expression for the inverse.
I will:
 Describe the
characteristics of a normal
distribution.
 Use a calculator,
spreadsheet, and table to
estimate areas under the
normal curve. Use the
mean and standard
deviation of a data set to
fit it to a normal
distribution.
 Use a normal distribution
to estimate population
percentages.
 Use various, specified
data-generating
processes/models
 Recognize data that
various models produce.
 Identify data or
discrepancies that provide
the basis for rejecting a
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
Glencoe Algebra 2 textbook
Instructor created flipcharts
thatquiz.org practice activities
graphing calculators
graphing software
Promethean board
o
o
o
o
o
Observation
bellwork
classroom
assignments
formative
quizzes
summative
mini-unit
exams
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statistical model.
Decide if a specified model
is consistent with results
from a given datagenerating process.
Use a simulation model to
generate data for random
sampling, assuming certain
population parameters/
characteristics. Use data
from a sample survey to
estimate a population
mean or proportion.
Interpret the data
generated by a simulation
model for random
sampling in terms of the
context the simulation
models.
Develop a margin of error,
assuming certain
population parameters/
characteristics, through
the use of simulation
models for random
sampling.
Using an established level
of significance, determine
if the difference between
two parameters is
significant.
Use data from a
randomized experiment to
compare two treatments.
Choose appropriate
method to simulate a
randomized experiment.
Establish a reasonable
level of significance.
Evaluate the experimental
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study design, how the data
was gathered, what
analysis was used.
Draw conclusions based on
graphical and numerical
summaries.
Support with graphical and
numerical summaries how
“appropriate” the report
of data was.
Analyze decisions and
strategies using probability
concepts