School Administrative District #4

Unity of purpose

CORE CURRICULUM: SCOPE AND SEQUENCE

Department: Mathematics

CONTENT STANDARD: DATA ANALYSIS AND STATISTICS

Students will understand and apply concepts of data analysis. Individuals are faced with massive quantities of information which must be selected, sorted, and analyzed to reach conclusions. Sound decision making requires the ability to collect data effectively, organize data, discover patterns, summarize trends, make inferences, draw conclusions, and make predictions. The ethical use of statistics is a paramount concern in the Information Age.

 

Performance Indicators: The learner will·

Kindergarten

1.        Review and extend prior learning

2.        Gather data relating to familiar experiences by counting and tallying

3.        Display objects and information, using object and picture graphs and tables

Grade 1

1.        Review and extend prior learning

2.        Investigate, identify, and describe various forms of data collection in his/her world

3.        Interpret information displayed in an object or picture graph, using the vocabulary more, less, fewer, greater than, less than.

Grade 2

1.        Review and extend prior learning

2.        Read, construct, and interpret a simple picture and bar graph

3.        Formulate and solve problems by collecting, arranging, and interpreting data

Grade 3

1.        Review and extend prior learning

2.        Given grid paper, collect data on a given topic of his/her choice and construct a bar graph (with title and key) showing the results

3.        Make generalizations and draw conclusions using various types of graphs, charts, and tables

Grade 4

1.        Review and extend prior learning

2.        Collect, organize, display, and interpret data in a variety of graphical forms

á         Bar graph

á         Line graph

Grade 5

1.        Review and extend prior learning

2.        Collect, organize, display, and interpret data in a variety of graphical forms

á         Table

á         Chart

á         Double bar graph

á         Double line graph

Grade 6

1.        Review and extend prior learning

2.        Collect, organize, display, and interpret data in a variety of graphical forms

á         Circle graph (halves, fourths, and eighths)

á         Stem-and-leaf plot

3.        Find the mean, median, mode, and range of a set of data

Grade 7

1.        Review and extend prior learning

2.        Collect, organize, display, and interpret data in a variety of graphical forms

á         Frequency distribution

á         Box-and-whisker plot

á         Line plot

á         Scatter plot

3.        Describe the mean, median, and mode as measures of central tendency and determine their meaning for a set of data

Grade 8

1.        Review and extend prior learning

2.        Collect, organize, display and interpret data in a variety of graphical forms

á         Spreadsheet

3.        Create and solve problems involving the mean, median, mode, and range of a set of data

4.        Use information displayed in various graphical forms to make comparisons, predictions, and inferences

5.        Use a matrix to organize and describe data

Grade 9

1.        Review and extend prior learning

2.        Manipulate large, realistic sets of data

3.        Use information displayed in various graphical forms to make comparisons, predictions, and inferences to analyze presentations for bias or deceptiveness

Grade 10

1.        Review and extend prior learning

Grade 11

1.        Review and extend prior learning

Grade 12

NOTE: The following performance indicators apply to only those students taking Functions, Statistics, and Trigonometry (FST).

1.        Review and extend prior learning

2.        Demonstrate an understanding of

á         Correlation

á         Standard deviation/dispersion of data

á         Variance

á         Inferential statistics

á         Descriptive statistics

á         Outliers

á         Quartiles

á         Data

á         One variable

á         Two variables

á         Clusters and gaps

á         Interquartile range

á         Randomness

á         Median-fit line

3.        Demonstrate an understanding of the idea of random sampling and recognize his/her role in statistical claims and designs for data collection

4.        Revise studies to improve their validity in terms of better sampling, better controls, or better data-analysis techniques

5.        Collect, organize, display, and interpret data in a variety of graphical forms

á         Histogram

á         Normal distributions

á         Student's T and chi square

6.        Use summation notation to represent a sum, variance, or standard deviation