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“ALGEBRA III” – UNIT 10 – Statistics, Sequences & Series
High School Mathematics
“Intermediate Algebra- A Graphing Approach”
Approximately: 7-9 days
QCC STANDARD
5- Identifies arithmetic and geometric
sequences, finds specified terms of such
sequences, determines the sequence given the
first term and either the common difference of
the common ratio
6- Finds the sum of the first n terms of an
arithmetic or geometric series
- Finds the sum of an infinite series
7- Determines the arithmetic and geometric
means
8. Uses the binomial Theorem to expand and
simplify binomial expressions
41 - Organizes, summarizes, characterizes, and
interprets data from practical situations using
relevant data sets by constructing tables, graphs,
and charts including frequency distributions,
histograms, line plots, stem-and-leaf plots, box
plots, and scatter plots for bivariate data.
42 - Summarizes data using measures of central
tendency (median, mean, and mode), and
measures of variability (range, interquartile
range, and standard deviation).
43 - Uses statistical reasoning techniques
appropriately and recognizes common misuses
of statistics.
44 - Identifies common statistical distributions
such as the normal distribution.
45 - Finds the probability of an event by
determining the sample space of all possible
outcomes and the number of successful
outcomes.
46 - Finds the probability of mutually-exclusive
events occurring.
ESSENTIAL
QUESTION
DEPTH for
MASTERY
Sections
What is the difference
between a sequence and a
series?
All
12.1,12.2
How do you find a
specific term in a series?
All
12.1,12.2
What is the “mean” of all
this?
How does Pascal’s
Triangle relate to the
Binomial Theorem?
All
All
COMMENTS
Supplemental materials
12.3
How do you determine
data from different
graphs?
All
Supplemental Materials
How do you summarize
data from stats?
All
Supplemental Materials
What are misuses of
stats?
All
Supplemental Materials
What is normal
distribution?
All
Supplemental Materials
What is the probability of
a possible outcome of an
event?
All
Supplemental Materials
What are mutually
exclusive events?
All
Supplemental Materials
QCC STANDARD
47 - Applies fundamental counting principles.
48 - Identifies and discriminates between
permutations and combinations.
49 - Finds the number of permutations and
number of combinations of n things taken r at a
time.
50 - Distinguishes between odds, probabilities,
and chance and finds the odds associated with
given events
ESSENTIAL
QUESTION
What are the counting
principles?
What are permutations
and combinations?
How do you find the
number of permutations
and number of
combinations of n things
taken r at a time?
What are the odds of a
given event?
DEPTH for
MASTERY
Sections
All
Supplemental Materials
All
12.4
All
12.4
All
COMMENTS
Supplemental Materials