Partners for Student Success Honors Algebra II Unit 4

Partners for Student Success
Honors Algebra II
Unit 4: Statistics & Probability
In order for your child to be successful, it is important to be consistent with the mathematical vocabulary and
processes that will be implemented this year in Honors Algebra II. You may find this resource helpful when
supporting your child at home.
Unit Concepts
Concept
Explanation
Union
A∪B
The union (denoted by ∪) of
two sets A & B is the set of
elements in either A or B.
Intersection
A∩B
The intersection (denoted by
∩) of two sets A & B is the
set of all elements in both A
and B.
Complement
“Prime”
Everything in the universe
outside of A; often thought of
as “not A”
Addition Rule
Used to calculate the
probability of the event
"A or B", provided that we
know the probability of A and
the probability of B.
Combinations/
Permutation
Examples
P(A or B) = P(A) + P(B) – P(A and B).
An ordering of objects. The
number of permutations of r
objects taken from a group of
n distinct objects.
Combinations- Order is not
important.
Permutations- Order is
important.
Cecil County Public Schools
2014-15
1
Honors Algebra II
Unit 4 Partners for Student Success
Independent
Event
Two events are independent if
the occurrence of one has no
effect on the occurrence of the
other.
Standard
Normal
Distribution
“Bell Curve”
Distribution of data that
illustrates what percentage of
data falls within a specified
standard deviation of the
mean.
Standard
Deviation
σ
The standard deviation is a
measure of the spread of the
data away from the mean.
Z-Score
The number z of standard
deviations that a data value
lies above or below the mean
of the data set.
Skewed
Distribution
Skewness is a measure of the
extent to which a probability
distribution "leans" to one side
of the mean.
Example: If a coin is tossed, the outcome
of the first toss (heads or tails) has no
effect on the outcome of the second toss.
If A & B are both independent events, then the
probability that both A and B occur is:
For the data set x1, x2, …, xn, the standard deviation
is given by:
z
xx
, where x is the mean
σ
Additional Resources
 www.corestandards.org
o View the current math standards. Click “Mathematics Standards” to download the pdf document.
 www.ixl.com/math/standards/common-core
o Click “High School” to find interactive practice opportunities aligned with each math standard.
 www.studyjams.com
o Using the search bar, find interactive examples and opportunities for practice for any given concept.
 www.khanacademy.org
o Using the search bar, find videos and examples on several math concepts throughout the year
 http://www.shmoop.com/common-core-standards
o Using the anchor standard, subtopic, and standard to unpack each standard.
Cecil County Public Schools
2014-15
2
Honors Algebra II
Unit 4 Partners for Student Success