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| Grade 5
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| Mathematics, Approved 2003
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| 4
| Data |
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Standard
Benchmark
Indicator | Description | Lesson Plans | Thinkfinity | Resources |
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4
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The student uses concepts and procedures of data analysis in a variety of situations.
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4.1
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The student applies the concepts of probability to draw conclusions and to make predictions and decisions including the use concrete objects in a variety of situations.
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4.1.A1
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conducts an experiment or simulation with a simple event including the use of concrete materials; records the results in a chart, table, or graph; uses the results to draw conclusions about the event; and makes predictions about future events (2.4.A1j-k).
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4.1.K1
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recognizes that all probabilities range from zero (impossible) through one (certain) (2.4.K1i) ($).
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4.1.K2
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lists all possible outcomes of a simple event in an experiment or simulation in an organized manner including the use of concrete objects (2.4.K1g-j).
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4.1.A2
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uses the results from a completed experiment or simulation of a simple event to make predictions in a variety of real-world situations (2.4.A1j-k), e.g., the manufacturer of Crunchy Flakes puts a prize in 20 out of every 100 boxes. What is the probability that a shopper will find a prize in a box of Crunchy Flakes, if they purchase 10 boxes?
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4.1.A3
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compares what should happen (theoretical probability/expected results) with what did happen (experimental probability/empirical results) in an experiment or simulation with a simple event (2.4.A1j).
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4.1.K3
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recognizes a simple event in an experiment or simulation where the probabilities of all outcomes are equal (2.4.K1i).
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4.1.K4
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represents the probability of a simple event in an experiment or simulation using fractions (2.4.K1c).
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4.2
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The student collects, organizes, displays, explains, and interprets numerical (rational numbers) and non numerical data sets in a variety of situations with a special emphasis on measures of central tendency.
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4.2.A1
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interprets and uses data to make reasonable inferences, predictions, and decisions, and to develop convincing arguments from these data displays (2.4.A1k) ($):
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4.2.A1A
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graphs using concrete materials,
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4.2.A1B
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pictographs,
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4.2.A1C
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frequency tables,
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4.2.A1D
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bar and line graphs,
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4.2.A1E
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Venn diagrams and other pictorial displays,
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4.2.A1F
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line plots,
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4.2.A1G
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charts and tables,
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4.2.A1H
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circle graphs.
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4.2.K1
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organizes, displays, and reads numerical (quantitative) and non-numerical (qualitative) data in a clear, organized, and accurate manner including a title, labels, categories, and whole number and decimal intervals using these data displays (2.4.K1j) ($):
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4.2.K1A
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graphs using concrete objects,
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4.2.K1B
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pictographs,
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4.2.K1C
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frequency tables,
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4.2.K1D
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bar and line graphs,
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4.2.K1E
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Venn diagrams and other pictorial displays, e.g., glyphs,
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4.2.K1F
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line plots,
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4.2.K1G
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charts and tables,
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4.2.K1H
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circle graphs,
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4.2.K1I
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single stem-and-leaf plots.
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4.2.K2
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collects data using different techniques (observations, polls, tallying, interviews, surveys, or random sampling) and explains the results (2.4.K1j) ($).
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4.2.A2
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uses these statistical measures of a whole number data set to make reasonable inferences and predictions, answer questions, and make decisions (2.4.A1a) ($):
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4.2.A2A
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minimum and maximum values,
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4.2.A2B
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range,
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4.2.A2C
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mode,
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4.2.A2D
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median,
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4.2.A2E
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mean when the data set has a whole number mean.
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4.2.A3
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recognizes that the same data set can be displayed in various formats and discusses why a particular format may be more appropriate than another (2.4.A1k) ($).
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4.2.K3
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identifies, explains, and calculates or finds these statistical measures of a whole number data set of up to twenty whole number data points from 0 through 1,000 (2.4.K1a) ($):
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4.2.K3A
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minimum and maximum values,
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4.2.K3B
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range,
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4.2.K3C
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mode (no-, uni-, bi-),
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4.2.K3D
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median (including answers expressed as a decimal or a fraction without reducing to simplest form),
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4.2.K3E
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mean (including answers expressed as a decimal or a fraction without reducing to simplest form).
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4.2.A4
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recognizes and explains the effects of scale and interval changes on graphs of whole number data sets (2.4.A1k).
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