MATHEMATICS STANDARDS
GRADES 68
MATH GRADE 7: STATISTICS PT. 2
Investigate
chance processes and develop, use, and evaluate probability models.
RESOURCES
7.SP.5.
Understand that the probability of a chance
event is a number between 0 and 1 that expresses the likelihood of the event
occurring. Larger numbers indicate greater likelihood. A probability near 0
indicates an unlikely event, a probability around 1/2 indicates an event that
is neither unlikely nor likely, and a probability near 1 indicates a likely
event.
What
is Probablility?
7.SP.6.
Approximate the probability of a chance event
by collecting data on the chance process that produces it and observing its
longrun relative frequency, and predict the approximate relative frequency
given the probability. For
example, when rolling a number cube 600 times, predict that a 3 or 6 would be
rolled roughly 200 times, but probably not exactly 200 times.
7.SP.7.
Develop a probability model and use it to
find probabilities of events. Compare probabilities from a model to observed
frequencies; if the agreement is not good, explain possible sources of the
discrepancy.
 Develop a uniform
probability model by assigning equal probability to all outcomes, and
use the model to determine probabilities of events. For example, if a student is
selected at random from a class, find the probability that Jane will be
selected and the probability that a girl will be selected.
 Develop a probability
model (which may not be uniform) by observing frequencies in data
generated from a chance process. For example, find the approximate probability that a
spinning penny will land heads up or that a tossed paper cup will land
openend down. Do the outcomes for the spinning penny appear to be
equally likely based on the observed frequencies?
 Marbles
 Experimental Probability
 Math is
Fun: DATA
 Probability of Events
 Math Goodies
 BrainPop
 Math is Fun: Advanced
7.SP.8.
Find probabilities of compound events using
organized lists, tables, tree diagrams, and simulation.
 Understand that, just
as with simple events, the probability of a compound event is the
fraction of outcomes in the sample space for which the compound event
occurs.
 Represent sample
spaces for compound events using methods such as organized lists, tables
and tree diagrams. For an event described in everyday language (e.g.,
“rolling double sixes”), identify the outcomes in the sample space which
compose the event.
 Design and use a
simulation to generate frequencies for compound events. For example, use random
digits as a simulation tool to approximate the answer to the question:
If 40% of donors have type A blood, what is the probability that it will
take at least 4 donors to find one with type A blood?
 Tree Diagram Lesson
 Tree Diagram Lesson 2
 Relative Frequency
 Table example
 List Example
 Throwing Dice Theory
 Random.org
 Rolling the Dice
 Learnzillion
 Virtual Nerd
 YouTube Lesson
Investigate
chance processes and develop, use, and evaluate probability models.

RESOURCES


7.SP.5.

Understand that the probability of a chance
event is a number between 0 and 1 that expresses the likelihood of the event
occurring. Larger numbers indicate greater likelihood. A probability near 0
indicates an unlikely event, a probability around 1/2 indicates an event that
is neither unlikely nor likely, and a probability near 1 indicates a likely
event.

What
is Probablility?

7.SP.6.

Approximate the probability of a chance event
by collecting data on the chance process that produces it and observing its
longrun relative frequency, and predict the approximate relative frequency
given the probability. For
example, when rolling a number cube 600 times, predict that a 3 or 6 would be
rolled roughly 200 times, but probably not exactly 200 times.


7.SP.7.

Develop a probability model and use it to
find probabilities of events. Compare probabilities from a model to observed
frequencies; if the agreement is not good, explain possible sources of the
discrepancy.


7.SP.8.

Find probabilities of compound events using
organized lists, tables, tree diagrams, and simulation.


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