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PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Topic:
08 Hypothesis Testing with Two Samples
Days: 15
Subject(s): Math
Know:
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.
Grade(s): 10th, 11th, 12th
Understand:
Hypothesis Testing for
two variables is used to
check the validity of a
claim regarding two
independent or
dependent events.
Do:
S.IC.8 -- Essential
Evaluate reports based on data.
S.ES.5 -- Compact
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.
1 -- Essential
Make sense of problems and persevere in solving
them.
4 -- Essential
Model with
mathematics.
2 -- Essential
Reason abstractly and quantitatively.
5 -- Essential
Use appropriate tools
strategically.
3 -- Essential
Construct viable arguments and critique the reasoning
of others.
6 -- Essential
Attend to precision.
4 -- Essential
Model with mathematics.
7 -- Essential
Look for and make use
of structure.
5 -- Essential
Use appropriate tools strategically.
8 -- Essential
Look for and express
regularity in repeated
reasoning.
CC.2.4.HS.B.1 -Essential
Summarize, represent,
and interpret data on a
single count or
measurement variable.
6 -- Essential
Attend to precision.
7 -- Essential
Look for and make use of structure.
8 -- Essential
Look for and express regularity in repeated reasoning.
CC.2.4.HS.B.1 -- Essential
Summarize, represent, and interpret data on a single
count or measurement variable.
Page 1 of 3
PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Topic:
08 Hypothesis Testing with Two Samples
Days: 15
Subject(s): Math
Know:
CC.2.4.HS.B.5 -Essential
Make inferences and
justify conclusions based
on sample surveys,
experiments, and
observational studies.
Grade(s): 10th, 11th, 12th
Understand:
Do:
CC.2.4.HS.B.5 -- Essential
Make inferences and justify conclusions based on
sample surveys, experiments, and observational
studies.
.
Page 2 of 3
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Topic:
PENNSYLVANIA
Date: March 12, 2014 ET
08 Hypothesis Testing with Two Samples
Subject(s): Math
Days: 15
Grade(s): 10th, 11th, 12th
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.IC.8 -- Essential
Evaluate reports based on data.
S.ES.5 -- Compact
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.
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.
8 -- Essential
Look for and express regularity in repeated reasoning.
CC.2.4.HS.B.1 -- Essential
Summarize, represent, and interpret data on a single count or measurement variable.
CC.2.4.HS.B.5 -- Essential
Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.
Page 3 of 3
PENNSYLVANIA
Date: March 12, 2014 ET
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Topic:
08 Hypothesis Testing with Two Samples
Days: 15
Subject(s): Math
Grade(s): 10th, 11th, 12th
Key Learning: Hypothesis testing can be used to compare two populations
Unit Essential Question(s):
How can hypothesis testing be used to determine if differences in
samples represent actual differences in populations?
Concept:
Concept:
Concept:
Large Independent Samples
Small Independent Samples
Dependent Sampels
S.ES.5, 2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.PM.7
2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.ES.5, S.PM.7
2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.IC.8, S.ES.5, S.PM.7
2.2.11.D, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H 2.2.11.F, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H
Lesson Essential Question(s):
How do you perform a two-sample z-test for the
difference between two means using large
independent samples? (A)
S.IC.8, S.PM.7
2.2.11.F, 2.4.11.A, 2.4.11.B, 2.4.11.C, 2.5.11.B, 2.6.11.H
Lesson Essential Question(s):
Lesson Essential Question(s):
How do you perform a two-sample t-test for the How do you decide whether two samples are
difference between two means using small
independent or dependent? (A)
independent samples? (A)
S.IC.8, S.ES.5, S.PM.7
S.IC.8, S.ES.5, S.PM.7
How do you perform a t-test to test the mean of
the differences for a population of paired data?
(A)
S.IC.8, S.ES.5, S.PM.7
Vocabulary:
independent, 2-sample z-test
Vocabulary:
pooled
Vocabulary:
dependent, paired samples
Concept:
Concept:
Concept:
Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:
Vocabulary:
Difference Between Proportions
2, 3, CC.2.4.HS.B.1, CC.2.4.HS.B.5, S.PM.7, S.IC.8, S.ES.5
2.2.11.f, 2.4.11.B, 2.5.11.B, 2.6.11.B, 2.6.11.H
Lesson Essential Question(s):
How do you perform a z-test for the difference
between two population proportions? (A)
S.PM.7, S.IC.8, S.ES.5
Vocabulary:
Page 1 of 2
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Topic:
08 Hypothesis Testing with Two Samples
Subject(s): Math
PENNSYLVANIA
Date: March 12, 2014 ET
Days: 15
Grade(s): 10th, 11th, 12th
Additional Information:
graphing calculator computer software
Attached Document(s):
Page 2 of 2
Susquenita Curriculum
Course: .PACC Probability and Statistics
Curriculum:
Vocab Report for Topic:
08 Hypothesis Testing with Two Samples
Subject(s): Math
PENNSYLVANIA
Date: March 12, 2014 ET
Days: 15
Grade(s): 10th, 11th, 12th
Concept: Large Independent Samples
independent 2-sample z-test -
Concept: Small Independent Samples
pooled -
Concept: Dependent Sampels
dependent paired samples -
Page 1 of 1