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Elkhorn Public Schools |
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Math |
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Mathematics - Statistics |
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1a
The learner will be able to
distinguish between a population and a sample.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) 12.5.1 |
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1b
The learner will be able to
distinguish between a parameter and a statistic.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) |
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1c
The learner will be able to
distinguish between qualitative and quantitative data.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) 12.5.1 |
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1d
The learner will be able to
classify data with respect to the four levels of measurement-nominal, ordinal, interval and ratio.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) |
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1e
The learner will be able to
collect data by taking a census, using sampling, a simulation, or performing an experiment.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) 12.5.1 |
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1f
The learner will be able to
create a sample using random sampling, statified sampling, cluster sampling, and systematic sampling.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) 12.5.6 |
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1g
The learner will be able to
identify a biased sample.
| Strand |
Scope |
Source |
| Sampling Techniques |
Master |
Elkhorn Public Schools(a) 12.5.1 |
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2a
The learner will be able to
find the range and standard deviation.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a)-12.5.5 |
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2b
The learner will be able to
find the empirical rule.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.5 |
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2c
The learner will be able to
find and apply Chebychev's theorem to interpret standard deviation.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.4 |
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2d
The learner will be able to
find and apply the first , second , and third quartiles.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.5 |
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2e
The learner will be able to
find the interquartile range.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.4 |
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2f
The learner will be able to
represent the data graphically using a box and whisker plot.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.5 |
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2g
The learner will be able to
find and interpret the z-score.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) |
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2h
The learner will be able to
construct a frequency distribution including limits, boundaries, midpoints, relative frequencies, and cumulative frequencies.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) |
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2i
The learner will be able to
construct a frequency histogram.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.5 |
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2j
The learner will be able to
construct a relative frequency histogram and ogives chart.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.5 |
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2k
The learner will be able to
graph and interpret the data using stem and leaf plots , scatter plots, pie charts, and pareto charts.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) |
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2l
The learner will be able to
find the mean, median, and mode of a population sample.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) 12.5.4 |
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2m
The learner will be able to
find a weighted mean of a set and the mean of a frequency distribution.
| Strand |
Scope |
Source |
| Central tendency |
Master |
Elkhorn Public Schools(a) |
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3a
The learner will be able to
identify the sample space of a probability experiment and to identify simple events.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3b
The learner will be able to
distinguish among classical probability, empirical probability, and subjective probability.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3c
The learner will be able to
distinguish between independent and dependent events.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.6 |
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3d
The learner will be able to
find the multiplication rule to find the probability of two events.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3e
The learner will be able to
determine if two events are mutually exclusive.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3f
The learner will be able to
the addition rule to find the probability.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3g
The learner will be able to
use the fundamental counting principle to find the number of ways two or more events can occur.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3h
The learner will be able to
find the number of ways a group of objects can be arranged in order and the number of ways to choose several objectives from a group without regard to order.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.3 |
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3i
The learner will be able to
use the counting principles to find probabilities.
| Strand |
Scope |
Source |
| types of probability |
Master |
Elkhorn Public Schools(a) 12.5.6 |
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4a
The learner will be able to
distinguish between discrete random variables and continuous variables.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4b
The learner will be able to
determine if a distribution is a probability distribution.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4c
The learner will be able to
construct a discrete probability distribution and its graph, and the mean, variance and standard deviation of a discrete probability distribution.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4d
The learner will be able to
find the expected value of a discrete probability distribution.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4e
The learner will be able to
determine if a probability experiment is a binomial experiment.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4f
The learner will be able to
find binomial probabilities using the binomial probability formula , a binomial probability table and technology.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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4i
The learner will be able to
find the probabilities using the poisson distribution.
| Strand |
Scope |
Source |
| Discrete Probability Distributions |
Master |
Elkhorn Public Schools(a) |
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5a
The learner will be able to
interpret graphs of normal probability distribution.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5b
The learner will be able to
estimate areas under a normal curve and use them to estimate probabilities for random variables with normal distribution.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5c
The learner will be able to
find and interpret z scores.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5d
The learner will be able to
find probabilities for normally distributed variables.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5e
The learner will be able to
find a z score given the area under the normal curve.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5f
The learner will be able to
transform a z score to an x value.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5g
The learner will be able to
find a specific data value of a normal distribution given the probability.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5g
The learner will be able to
find a specific data value of a normal distribution given the probability.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5h
The learner will be able to
find sampling distribution and verify their properties.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5i
The learner will be able to
interpret the central limit theorem.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) |
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5j
The learner will be able to
use scatter diagrams to decide whether there is a linear correlation between two variables.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) 12.5.2 |
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5k
The learner will be able to
the learner will calculate mathematical models and will use them to predict other values when given data.
| Strand |
Scope |
Source |
| Normal Probability Distribution |
Master |
Elkhorn Public Schools(a) 12.5.2 |
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