Download Algebra_II_Q3

ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
Evidence Outcome
3. Expressions can be
represented in multiple,
equivalent forms
a. Perform arithmetic operations on
polynomials.
i. Explain that polynomials
form a system analogous to
the integers, namely, they
are closed under the
operations of addition,
subtraction, and
multiplication; add, subtract,
and multiply polynomials. C
b. Understand the relationship
between zeros and factors of
polynomials.
i. State and apply the
Remainder Theorem. C
3. Expressions can be
represented in multiple,
equivalent forms
ii. 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. C
Use polynomial identities to
solve problems.
i. Prove polynomial identities
and use them to describe
numerical relationships. I
3. Expressions can be
represented in multiple,
equivalent forms
c.
2. Quantitative
relationships in the real
world can be modeled
and solved using
functions
a. Model periodic phenomena with
trigonometric functions.
i. Choose the trigonometric
functions to model periodic
phenomena with specified
amplitude, frequency, and
midline. I
© Learning Keys, 800.927.0478, www.learningkeys.org
TIMELINE: 3rd Quarter
GRADE: High School
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
We will explan that
polynomials are closed
under the operations of
addition, subtraction, and
multiplication; and add,
subtract, and multiply
polynomials.
Appl
Holt McDougal Algebra 2
Page 414 – 417
We will state and apply the
Remainder Theorem.
Appl
Holt McDougal Algebra 2
Page 424, 430
We will use factoring to
identify the zeros of
polynomials and use the
zeros to construct a rough
graph of the function.
Appl
Holt McDougal Algebra 2
Page 333 - 340
We will prove polynomial
identities and use them to
describe numerical
relationships.
Appl
Kuta Software Website–
Algebra 2
trigonometric functions
that model specified
amplitude, frequency,
and midline.
Remainder Theorem
Smartboard tool bar –
imported graphs
Holt McDougal Algebra 2
Page 92, 192
Appl
We will choose the
Academic
Vocabulary
Tangent
Holt McDougal Algebra 2
Page 930
Smartboard tool bar –
imported graphs
Sine
Cosine
Amplitude
Kuta Software WebsitePage 1
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
TIMELINE: 3rd Quarter
GRADE: High School
Evidence Outcome
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic
Vocabulary
Algebra 2
2. Statistical methods
take variability into
account supporting
informed decisions
making through
quantitative studies
designed to answer
specific questions
a. Understand and evaluate
random processes underlying
statistical experiments.
i. Describe statistics as a
process for making
inferences about population
parameters based on a
random sample from that
population. I
ii.
2. Statistical methods
take variability into
account supporting
informed decisions
making through
quantitative studies
designed to answer
specific questions
Decide if a specified model
is consistent with results
from a given datagenerating process. I
b. Make inferences and justify
conclusions from sample
surveys, experiments, and
observational studies.
i. Identify the purposes of and
differences among sample
surveys, experiments, and
observational studies;
explain how randomization
relates to each. C
ii.
Use data from a sample
survey to estimate a
population mean or
© Learning Keys, 800.927.0478, www.learningkeys.org
Random sample
We will describe statistics
as a process for making
inferences about population
parameters based on a
random sample from that
population.
Comp
Holt McDougal Algebra 2
Page 694, 844
We will determine if a
specified model is
consistent with results from
a given data-generating
process.
Comp
Holt McDougal Algebra 2
Page 143, 700
Inference conclusion
We will identify the
purposes of and differences
among sample surveys,
experiments, and
observational studies;
explain how randomization
relates to each.
Analysis
Holt McDougal Algebra 2
Page 828
We will use data from a
sample survey to estimate
a population mean or
Analysis
Holt McDougal Algebra 2
Page 148, 379, 549, 575,
703
Margin of error
Page 2
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
Evidence Outcome
proportion. C
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
We will develop a margin of
error through the use of
simulation models for
random sampling.
Analysis
Holt McDougal Algebra 2
Page 148, 379, 549, 575,
703
iv.
We will use data from a
randomized experiment to
compare two treatments;
use simulations to decide if
differences between
parameters are significant.
Analysis
Holt McDougal Algebra 2
Page 148, 379, 549, 575,
703
We will define and explain
the meaning of significance,
both statistical (using pvalues) and practical (using
effect size).
Analysis
Holt McDougal Algebra 2
Page 148, 379, 549, 575,
703
Analysis
Holt McDougal Algebra 2
Page 148, 379, 549, 575,
703
Use data from a
randomized experiment to
compare two treatments;
use simulations to decide if
differences between
parameters are significant.
C
vi.
Evaluate reports based on
data. C
a. Extend the properties of
exponents to rational
exponents.
i. 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.
C
© Learning Keys, 800.927.0478, www.learningkeys.org
Academic
Vocabulary
proportion.
iii. Develop a margin of error
through the use of
simulation models for
random sampling. C
v. Define and explain the
meaning of significance,
both statistical (using pvalues) and practical (using
effect size). C
1. The complex number
system includes real
numbers and imaginary
numbers
TIMELINE: 3rd Quarter
GRADE: High School
Rational exponents
We will explain how the
properties of interger
exponents extends to
rational exponents,
including radicals.
Comp
Holt McDougal Algebra 2
Pages 21, 34, 610
Complex number
system
Imaginary numbers
Kuta Software Website –
Algebra 2
Radical
Radicand
Page 3
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
Evidence Outcome
ii. Rewrite expressions
involving radicals and
rational exponents using the
properties of exponents. C
1. The complex number
system includes real
numbers and imaginary
numbers
1. The complex number
system includes real
numbers and imaginary
numbers
c. Perform arithmetic operations
with complex numbers.
i. Define the complex number
i such that i2 = –1, and show
that every complex number
has the form a + bi where a
and b are real numbers. C
ii. Use the relation i2 = –1 and
the commutative,
associative, and distributive
properties to add, subtract,
and multiply complex
numbers. C
b. Use properties of rational and
irrational numbers
i. Explain why the sum or
product of two rational
numbers is rational. C
ii. Explain why the sum of a
rational number and an
irrational number is
irrational. C
iii. Explain why the product of
a nonzero rational number
and an irrational number is
© Learning Keys, 800.927.0478, www.learningkeys.org
TIMELINE: 3rd Quarter
GRADE: High School
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
We will use the properties
of exponents to rewrite
expressions involving
radical and rational
exponents.
Comp
Kuta Software Website–
Algebra 2
We will define the complex
number system and show
that every complex number
has the form a + bi where a
and b are real numbers.
Appl
Holt McDougal Algebra 2
Page 350 – 355
We will use the relation i2 =
–1 and the commutative,
associative, and distributive
properties to add, subtract,
and multiply complex
numbers.
Appl
Holt McDougal Algebra 2
Page 350 – 355
Academic
Vocabulary
Holt McDougal Algebra 2
Page 610
Irrational number
We will explain why the
sum of two rational
numbers is rational and
why the product of two
rational numbers is rational.
We will explain why the
sum of a rational number
and an irrational number is
irrational.
We will explain why the
product of a nonzero
rational number and an
Comp
Holt McDougal Algebra 2
Page 577 – 587
Rational number
Comp
Holt McDougal Algebra 2
Page 577 – 587, 441
Nonzero
Comp
Holt McDougal Algebra 2
Page 577 – 587, 441
Page 4
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
Evidence Outcome
irrational. C
4. Attributes of two- and
three-dimensional
objects are measurable
and can be quantified
TIMELINE: 3rd Quarter
GRADE: High School
a. Explain volume formulas and
use them to solve problems.
i. Give an informal argument
for the formulas for the
circumference of a circle,
area of a circle, volume of a
cylinder, pyramid, and cone.
C
ii. Use volume formulas for
cylinders, pyramids, cones,
and spheres to solve
problems. C
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic
Vocabulary
irrational number is
irrational.
Volume
We will explain how to
informally derive the
formulas for the
circumference of a circle,
area of a circle, volume of a
cylinder, pyramid, and
cone.
Appl
We will use volume
formulas for cylinders,
pyramids, cones, and
spheres to solve problems.
Appl
Holt McDougal
Geometry – Page 37
Kuta Software Website–
Algebra 2
Circumference
Area
Smartboard tool bar –
imported graphs
Holt McDougal Geometry
Page 697 - 714
Kuta Software Website–
Algebra 2
Smartboard tool bar –
imported graphs
1. The complex number
system includes real
numbers and imaginary
numbers
1. Functions model
situations where one
quantity determines
another and can be
represented
algebraically,
graphically, and using
tables
d. Use complex numbers in
polynomial identities and equations.
i. Solve quadratic equations
with real coefficients that
have complex solutions. C
ii.
Graph exponential and
logarithmic functions,
showing intercepts and end
behavior, and trigonometric
functions, showing period,
midline, and amplitude. C
Appl
Holt McDougal Algebra 2
Page 350 – 355
We will solve quadratic
equations with real
coefficients that have
complex solutions.
We will graph the three
basic trigonometric
functions, showing period,
midline, and amplitude.
Kuta Software Website–
Algebra 2
Analysis
Holt McDougal Algebra 2
Page 490 – 493
Trigonometric
function
Smartboard tool bar –
imported graphs
Period
Amplitude
Graphing Calculator
Midline
Holt McDougal Algebra 2
© Learning Keys, 800.927.0478, www.learningkeys.org
Page 5
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra II
Grade Level
Expectation
Evidence Outcome
© Learning Keys, 800.927.0478, www.learningkeys.org
TIMELINE: 3rd Quarter
GRADE: High School
Student-Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic
Vocabulary
Page 990 – 1003
Complete the square
Kuta Software Website–
Algebra 2
Symmetry
Trigonometric
function
Page 6