Download 4th 9 weeks

2016.17, Algebra II, Quarter 4
The following practice standards will be used throughout the quarter:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Ongoing Standards
Note to Teachers: The following ongoing standards will be practiced all year long and embedded into your instruction instead of being taught
in isolation.
WCE.AII.1 Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and
symbolic) of non-linear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.
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.
F.BF.1 Write a function that describes a relationship between two quantities.
WCE.AII.2 Graph a variety of functions identifying the domain, range, x-intercept(s), y-intercept, increasing intervals, decreasing intervals, the
maximums, and minimums of a function by looking at its graph.
WCE.AII.3 Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations
which the functions represent.
WCE.AII.4 Multiply polynomials.
**Unless otherwise noted, all resources are from HMH Algebra 2, 2015 Edition.
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Unit 8- Probability
Standards
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”).
Student Friendly “I Can” Statements
I can define a sample space and events within the sample space.
I can identify subsets within a sample space.
I can give examples of unions, intersections and complements of sets
and events.
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.
I can collect data about students in my school.
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.
I can identify two events as independent or not.
I can predict if two events are independent, explain my reasoning, and
verify my statement by calculating probabilities.
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.
I can calculate conditional probability.
I can organize the data in a chart.
I can calculate the probability of independent and dependent events.
I can determine if the events are dependent or independent.
I can calculate simple conditional probability based on the data.
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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.
I can calculate the probability of an event.
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.
I can interpret probability based on the context of the given problem.
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.
I can apply the addition rule to two events and interpret the results in
terms of the context.
I can choose a probability model for a problem situation.
WCE.AII.10 Exhibit knowledge of joint probability.
I can exhibit knowledge of joint probability.
Unit 9 Statistics
S.IC.1 Understand statistics as a process for making inferences about I can recognize that statistics involve drawing conclusions about a
population parameters based on a random sample from that
population based on the results obtained from a random sample of the
population.
population.
S.IC.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?
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S.IC.3 Recognize the purposes of and differences among sample
surveys, experiments, and observational studies; explain how
randomization relates to each.
I can identify situations as sample survey, experiment, or observational
study and can discuss the importance of randomization in these
processes.
I can explain why randomization is used to draw a sample that
represents a population well.
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.
I can estimate the total population values including the margin of error
using sample means.
S.IC.5 Use data from a randomized experiment to compare two
treatments; use simulations to decide if differences between
parameters are significant.
I can compare data sets using graphs and summary statistics.
S.IC.6 Evaluate reports based on data.
I can make data-based decisions.
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.
I can calculate the mean, standard deviation and variance for a set of
data.
I can apply the 68-95-99.7 rule for the normal distribution using
calculators, spreadsheets, and tables to estimate areas.
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Honors Addendum
Note for Teachers of Honors: Do not teach this Honors Addendum at
the end of the quarter.
Embed the Honors Addendum within the regular Scope & Sequence.
I can apply the general Multiplication Rule to calculate the probability of
the intersection of two events using the formula.
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.
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).
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