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PENNSYLVANIA
Date: March 11, 2014 ET
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Topic:
(10B) Probability
Days: 30
Subject(s):
Know:
S.IPM.1 -- Essential
Understand that to
describe a pair of
random processes (such
as tossing a coin and
rolling a number cube),
or one random process
repeated twice (such as
randomly selecting a
student in the class on
two different days), two
probability models can
be combined into a
single model.
S.IPM.2 -- Essential
Understand that when
two probability models
are combined
independently, the
probability that one type
of outcome in the first
model occurs together
with another type of
outcome in the second
model is the product of
the two corresponding
probabilities in the
original models (the
Multiplication Rule).
CC.2.4.HS.B.6 -Essential
Use the concepts of
independence and
conditional probability
to interpret data.
CC.2.4.HS.B.7 -Essential
Apply the rules of
probability to compute
probabilities of
compound events in a
uniform probability
model.
Grade(s):
Understand:
Students will
understand how to find
the probability of
different situations in
real life settings.
Do:
S.PM.5c -- Essential
Determine probabilities of individual outcomes, and
determine the probability of a type or category of
outcome as the fraction of individual outcomes it
includes.
S.IPM.2 -- Essential
Understand that when two probability models are
combined independently, the probability that one type
of outcome in the first model occurs together with
another type of outcome in the second model is the
product of the two corresponding probabilities in the
original models (the Multiplication Rule).
CC.2.4.HS.B.6 -- Essential
Use the concepts of independence and conditional
probability to interpret data.
CC.2.4.HS.B.7 -- Essential
Apply the rules of probability to compute probabilities
of compound events in a uniform probability model.
1 -- Essential
Make sense of problems and persevere in solving
them.
2 -- Essential
Reason abstractly and quantitatively.
3 -- Essential
Construct viable arguments and critique the reasoning
of others.
4 -- Essential
Model with mathematics.
5 -- Essential
Use appropriate tools strategically.
6 -- Essential
Attend to precision.
7 -- Essential
Look for and make use of structure.
Page 1 of 4
PENNSYLVANIA
Date: March 11, 2014 ET
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Topic:
(10B) Probability
Days: 30
Subject(s):
Know:
1 -- Essential
Make sense of problems
and persevere in solving
them.
2 -- Essential
Reason abstractly and
quantitatively.
Grade(s):
Understand:
Do:
8 -- Essential
Look for and express regularity in repeated reasoning.
A1.2.3.3.1 -- Essential
Find probabilities for compound events (e.g., find
probability of red and blue, find probability of red or
blue) and represent as a fraction, decimal, or percent.
3 -- Essential
Construct viable
arguments and critique
the reasoning of others.
4 -- Essential
Model with
mathematics.
5 -- Essential
Use appropriate tools
strategically.
6 -- Essential
Attend to precision.
7 -- Essential
Look for and make use
of structure.
8 -- Essential
Look for and express
regularity in repeated
reasoning.
A1.2.3.3.1 -- Essential
Find probabilities for
compound events (e.g.,
find probability of red
and blue, find
probability of red or
blue) and represent as a
fraction, decimal, or
percent.
Page 2 of 4
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Topic:
PENNSYLVANIA
Date: March 11, 2014 ET
(10B) Probability
Subject(s):
Days: 30
Grade(s):
Which standards are students learning in this unit?
S.PM.7 -- Important
Compare probabilities from a theoretical model to probabilities from a corresponding empirical model for the same
situation. If the agreement is not good, explain possible sources of the discrepancies.
S.PM.5c -- Essential
Determine probabilities of individual outcomes, and determine the probability of a type or category of outcome as the
fraction of individual outcomes it includes.
S.IPM.1 -- Essential
Understand that to describe a pair of random processes (such as tossing a coin and rolling a number cube), or one
random process repeated twice (such as randomly selecting a student in the class on two different days), two probability
models can be combined into a single model.
S.IPM.2 -- Essential
Understand that when two probability models are combined independently, the probability that one type of outcome in
the first model occurs together with another type of outcome in the second model is the product of the two
corresponding probabilities in the original models (the Multiplication Rule).
CC.2.4.HS.B.6 -- Essential
Use the concepts of independence and conditional probability to interpret data.
CC.2.4.HS.B.7 -- Essential
Apply the rules of probability to compute probabilities of compound events in a uniform probability model.
1 -- Essential
Make sense of problems and persevere in solving them.
2 -- Essential
Reason abstractly and quantitatively.
3 -- Essential
Construct viable arguments and critique the reasoning of others.
4 -- Essential
Model with mathematics.
5 -- Essential
Use appropriate tools strategically.
6 -- Essential
Attend to precision.
7 -- Essential
Look for and make use of structure.
Page 3 of 4
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Topic:
PENNSYLVANIA
Date: March 11, 2014 ET
(10B) Probability
Subject(s):
Days: 30
Grade(s):
8 -- Essential
Look for and express regularity in repeated reasoning.
A1.2.3.3.1 -- Essential
Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and
represent as a fraction, decimal, or percent.
Page 4 of 4
PENNSYLVANIA
Date: March 11, 2014 ET
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Topic:
(10B) Probability
Days: 30
Subject(s):
Grade(s):
Key Learning: Students will understand how to find the probability of different situations in real life settings.
Unit Essential Question(s):
How can you calculate probability in various
contexts?
Concept:
Probability and Odds
Concept:
Concept:
Permutations and Combinations
Compound events
S.PM.5c, S.PM.7, CC.2.4.HS.B.6, 1, 5
CC.2.4.HS.B.6, 1, 5
S.IPM.2, S.IPM.1, CC.2.4.HS.B.6, CC.2.4.HS.B.7, 1, 5
Lesson Essential Question(s):
How are probability and odds related? (A)
Lesson Essential Question(s):
How do you choose between using
a permutation or combination? (A)
Lesson Essential Question(s):
How do you calculate the probability of more
than one event occuring? (A)
Vocabulary:
permutation, combination, factorial
Vocabulary:
independent events, dependent events,
compound events
S.PM.5c
Vocabulary:
odds, outcome, event, sample space, theoretical
probability, experimental probability
Additional Information:
Attached Document(s):
Page 1 of 1
Susquenita Curriculum
Course: .PACC Intermediate Algebra
Curriculum:
Vocab Report for Topic:
(10B) Probability
Subject(s):
PENNSYLVANIA
Date: March 11, 2014 ET
Days: 30
Grade(s):
Concept: Probability and Odds
odds outcome event sample space theoretical probability experimental probability -
Concept: Permutations and Combinations
permutation combination factorial -
Concept: Compound events
independent events dependent events compound events -
Page 1 of 1