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# Mathematics Curriculum Framework - November 2000

## Learning Standards by Strand

### Data Analysis, Statistics, and Probability for Grades 3-4

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
Select and use appropriate statistical methods to analyze data
Develop and evaluate inferences and predictions that are based on data
Understand and apply basic concepts of probability

#### Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

4.D.1
Collect and organize data using observations, measurements, surveys, or experiments, and identify appropriate ways to display the data.
4.D.2
Match a representation of a data set such as lists, tables, or graphs (including circle graphs) with the actual set of data.
4.D.3
Construct, draw conclusions, and make predictions from various representations of data sets, including tables, bar graphs, pictographs, line graphs, line plots, and tallies.
4.D.4
Represent the possible outcomes for a simple probability situation, e.g., the probability of drawing a red marble from a bag containing three red marbles and four green marbles.
4.D.5
List and count the number of possible combinations of objects from three sets, e.g., how many different outfits can one make from a set of three shirts, a set of two skirts, and a set of two hats?
4.D.6
Classify outcomes as certain, likely, unlikely, or impossible by designing and conducting experiments using concrete objects such as counters, number cubes, spinners, or coins.

#### Exploratory Concepts and Skills

• Explore the concepts of median, mode, maximum and minimum, and range.
• Discuss what data-collection methods are appropriate for various types of investigations.
• Explore situations that involve probabilities of equally likely events.
• Investigate the construction of simple circle graphs.

Data Analysis, Statistics, and Probability