1.2 Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, sizes, or colors.
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Charts, Data, Function Tables and Graphs
1.1 Record numerical data in systematic ways, keeping track of what has been counted.
1.2 Represent and compare data (e.g., largest, smallest, most often, least often) by using
pictures, bar graphs, tally charts, and picture graphs.
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Properties
2.0
Students sort objects and create and describe patterns by numbers, shapes, sizes, rhythms, or colors:
2.1 Describe, extend, and explain ways to get to a next element in simple repeating
patterns (e.g., rhythmic, numeric, color, and shape)..
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Charts, Data, Function Tables and Graphs
1.21 Represent the same data set in more than one way (e.g., bar graphs and charts with tallies).
1.31 Identify features of data sets (range and mode).
1.41 Ask and answer simple questions related to data representations.
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Statistics, Data Analysis and Probability
Probability
Key Standard
1.14 Identify whether common events are certain, likely, unlikely, or improbable.
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1.21 Record the possible outcomes for a simple event (e.g., tossing a coin) and systematically keep track of the outcomes when the event is repeated many times.
1.31 Summarize and display the results of probability experiments in a clear and organized way (e.g., use a bar graph or a line plot).
1.41 Use the results of probability experiments to predict future events (e.g., use a line plot to predict the temperature forecast for the next day).
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Charts, Data, Function Tables and Graphs
1.11 Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.
Key Standard
1.25Identify the mode(s) for sets of categorical data and the mode(s), median, and any apparent outliers for numerical data sets.
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1.33 Interpret one- and two-variable data graphs to answer questions about a situation.
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Probability
2.0 Students make predictions for simple probability situations:
2.13 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).
2.23 Express outcomes of experimental probability situations verbally and numberically (e.g. 3 out of 4, 3/4)
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Charts, Data, Function Tables and Graphs
1.11/3 Know the concepts of mean, median, and mode; compute and compare simple examples to show that they may differ.
1.21/3 Organize and display single-variable data in appropriate graphs and representations
(e.g., histogram, circle graphs) and explain which types of graphs are appropriate
for various data sets.
Charts, Data, Function Tables and Graphs
1.42 1/2 Identify ordered pairs of data from a graph and interpret the meaning of the data
in terms of the situation depicted by the graph.
1.5 1/2 Know how to write ordered pairs correctly; for example, (x, y).
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compare
and rank
1.31/3 Use fractions and percentages to compare data sets of different sizes.
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Charts, Data, Function Tables and Graphs
1.421/2 Identify ordered pairs of data from a graph and interpret the meaning of the data
in terms of the situation depicted by the graph.
1.5 1/2 Know how to write ordered pairs correctly; for example, (x, y).
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Charts, Data, Function Tables and Graphs
Key Standard
1.16 Compute the range, mean, median, and mode of data sets.
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1.21 Understand how additional data added to data sets may affect these computations of measures of central tendency.
1.31 Understand how the inclusion or exclusion of outliers affects measures of central tendency.
1.41 Know why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context.
2.0 Students use data samples of a population and describe the characteristics and limitations of the samples:
2.11 Compare different samples of a population with the data from the entire population
and identify a situation in which it makes sense to use a sample.
Key Standard
2.26 Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative
for a population.
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2.3 1 Analyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached.
2..41 Identify data that represent sampling errors and explain why the sample (and the display) might be biased.
2.51/3 Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims.
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Probability
3.0 Students determine theoretical and experimental probabilities and use these to make predictions about events:
3.1 1 Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome..
3.2 1 Use data to estimate the probability of future events (e.g., batting averages or number of accidents per mile driven).
3.3 1 Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring.
3..41 Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.
3.5 1/3 Understand the difference between independent and dependent events.
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