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STANDARDS

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US-VA

Math

Virginia Math

Grade 5: Probability and Statistics

5.PS.1

The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on line plots (dot plots) and stem-and-leaf plots.

5.PS.1.a

Formulate questions that require the collection or acquisition of data.
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5.PS.1.b

Determine the data needed to answer a formulated question and collect or acquire existing data (limited to 30 or fewer data points) using various methods (e.g., polls, observations, measurements, experiments).
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5.PS.1.c

Organize and represent a data set using a line plot (dot plot) with a title, labeled axes, and a key, with and without the use of technology tools. Line plots (dot plots) may contain whole numbers, fractions, or decimals.
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5.PS.1.d

Organize and represent numerical data using a stem-and-leaf plot with a title and key, where the stems are listed in ascending order and the leaves are in ascending order, with or without commas between the leaves.
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5.PS.1.e

Analyze data represented in line plots (dot plots) and stem-and-leaf plots and communicate results orally and in writing:

5.PS.1.e.i

describe the characteristics of the data represented in a line plot (dot plot) and stem-and-leaf plot as a whole (e.g., the shape and spread of the data);
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5.PS.1.e.ii

make inferences about data represented in line plots (dot plots) and stem-and-leaf plots (e.g., based on a line plot (dot plot) of the number of books students in a bus line have in their backpack, every student will have from two to four books in their backpack);
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5.PS.1.e.iii

identify parts of the data that have special characteristics and explain the meaning of the greatest, the least, or the same (e.g., the stem-and-leaf plot shows that the same number of students scored in the 90s as scored in the 70s);
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5.PS.1.e.iv

draw conclusions about the data and make predictions based on the data to answer questions; and
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5.PS.1.e.v

solve single-step and multistep addition and subtraction problems using data from line plots (dot plots) and stem-and-leaf plots.
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5.PS.2

The student will solve contextual problems using measures of center and the range.

5.PS.2.a

Describe mean as fair share.
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5.PS.2.b

Describe and determine the mean of a set of data values representing data from a given context as a measure of center.
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5.PS.2.c

Describe and determine the median of a set of data values representing data from a given context as a measure of center.
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5.PS.2.d

Describe and determine the mode of a set of data values representing data from a given context as a measure of center.
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5.PS.2.e

Describe and determine the range of a set of data values representing data from a given context as a measure of spread.
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5.PS.3

The student will determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle.

5.PS.3.a

Determine the probability of an outcome by constructing a sample space (with a total of 24 or fewer equally likely possible outcomes), using a tree diagram, list, or chart to represent and determine all possible outcomes.
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5.PS.3.b

Determine the number of possible outcomes by using the Fundamental (Basic) Counting Principle.
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