Math Curriculum - Data Analysis & Probability

math graphic

Data Analysis and Probability K-3, 4-6, 7-12
.
Data Analysis and Probability K-3 (printable PDF)
Essential Skills:
1. Select and use appropriate statistical methods to analyze data
2. Develop and evaluate inferences and predictions that are based on data
3. Understand and apply basic concepts of probability
4. Use paper and pencil to demonstrate skills prior to using technology
.
Kindergarten
Important to Know
• Use concrete materials to collect, organize, and describe data about themselves and their surroundings
• Represent data using concrete objects, pictures, and graphs
• Given a graph, answer orally “How many…?”
• Given concrete materials in a pattern, make a reasonable prediction
.
Grade 1
Important to Know
• Sort and classify objects according to two attributes
• Represent data using concrete objects, pictures, graphs, and Venn Diagrams
• Use tallies
• Create and interpret picture graphs
• Use vocabulary “more likely” and “less likely” to describe the likelihood of events in their lives
.
Grade 2
Important to Know
• Sort and classify objects according to two attributes and organize data about the objects
• Create, read, compare/contrast picture and bar graphs
• Translate tallies to graphs
• Use “more likely” and “less likely” to describe the likelihood of events in their lives and validate responses with “because” statements
.
Grade 3
Important to Know
• Read and interpret pictographs in which pictures represent more than a single unit
• Design an investigation to address a question about themselves and their class
• Collect data using observations and surveys
• Create picture, bar and informal pie graphs
• Use graphs to make identifications, comparisons, and predictions
• Match data to appropriate graph
• Make predictions regarding likelihood of events based on collected data
.
Data Analysis and Probability 4-6 (printable PDF)
.Essential Skills:
1. Select and use appropriate statistical methods to analyze data.
2. Develop and evaluate inferences and predictions that are based on data.
3. Understand and apply basic concepts of probability.
4. Use paper and pencil to demonstrate skills prior to using technology.
.
Grade 4
Important to Know
• Design an investigation to address a formulated question
• Collect data using observations, surveys, or experiments
• Represent data using tables, time lines, bar graphs and line graphs
• Recognize the difference in representing data by categories and numerically
• Make a graph using graph paper with horizontal and vertical axes and label them correctly.
• Make a bar graph, plot and read the value of bars between two numbers on the numerical axis
• Given a set of data and definitions, find the mode
• Compare a pictograph, a bar graph and a line graph of the same data and determine which graph best represents the data so that others will understand it
• Make a prediction and design a study to investigate the prediction
• Predict the probability of outcomes of simple experiments. Test the predictions with concrete materials
.
Grade 5
Important to Know
• Make a graph with horizontal and vertical axes. Determine what the values along each axis need to be and label the axes accordingly
• Demonstrate an understanding that the marks on the horizontal and vertical axes of a graph need to be equidistant and the numbers equally sequenced.
• After creating a bar, line, or circle graph, make conclusions about what the graph depicts.
• Find and describe the range, mean, mode, and median of a set of data
• Determine the probability of a given event using concrete materials
• Predict the probability of outcomes of simple experiments. Test the predictions with concrete materials.
.
Grade 6
Important to Know
• After creating a bar or line graph, make conclusions from the information given in the graph
• Calculate and compare the mean, median, mode and range of a given set of numbers and choose which is most representative of the data.
• Demonstrate that the probability of an event can be represented by a number from 0 through 1 (from impossible to certain)

• Given experimental or theoretical probability, make predictions.
• Predict the probability of outcomes of simple experiments and test the predictions
• Propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions.

.
Data Analysis and Probability 7-12 (printable PDF)
.Essential Skills:
1. Select and use appropriate statistical methods to analyze data
2. Develop and evaluate inferences and predictions that are based on data
3. Understand and apply basic concepts of probability
4. Use paper and pencil to demonstrate skills prior to using technology
.
Grade 7
Important to Know
• Select, create, and use appropriate graphical representations of data including double bar and stacked bar graphs
• Use mean, median, mode in problem solving and data analysis
• Represent probability as a ratio from 0 through 1
• Compare probable outcomes within an experiment
• Use theoretical and experimental probability to form predictions
.
Grade 8
Important to Know
• Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population
• Select, create, and use appropriate graphical representations of data, including circle graphs, box plots, scatterplots and stem and leaf plots
• Find, use, and interpret measures of central tendency and measures of variation, including interquartile range
• Use geometric probability to solve a problem
• Use theoretical and experimental probability to form predictions
.
Grade 9
Important to Know
• Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population
• Understand histograms, parallel box plots, and scatterplots and use them to display data
• Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each
• Use theoretical and experimental probability to form predictions
.
Grade 10
Important to Know
• Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each
• Know the characteristics of well-designed studies including the role of randomization in surveys and experiments
• Use theoretical and experimental probability to form predictions
.
Grade 11
Important to Know
• Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each
• Know the characteristics of well-designed studies including the role of randomization in surveys and experiments
• Use theoretical and experimental probability to form predictions
.
Grade 12
Important to Know
• Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each
• Know the characteristics of well-designed studies including the role of randomization in surveys and experiments
• Use theoretical and experimental probability to form predictions
• Understand the meaning of measurement data and categorical data, of univariate and bivariate data, and of the term variable
• For univariate measurement data display the distribution, describe its shape, and select and calculate summary statistics
• For bivariate measurement data display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools
• Display and discuss bivariate data where at least one variable is categorical
• Recognize how linear formations of univariate data affect shape, center, and spread
• Identify trends in bivariate data and find functions that model the data or transform the data so that they can be modeled

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			Data Analysis and Probability K-3, 4-6, 7-12 . Data Analysis and Probability K-3 (printable PDF) Essential Skills: 1. Select and use appropriate statistical methods to analyze data 2. Develop and evaluate inferences and predictions that are based on data 3. Understand and apply basic concepts of probability 4. Use paper and pencil to demonstrate skills prior to using technology . Kindergarten Important to Know • Use concrete materials to collect, organize, and describe data about themselves and their surroundings • Represent data using concrete objects, pictures, and graphs • Given a graph, answer orally “How many…?” • Given concrete materials in a pattern, make a reasonable prediction . Grade 1 Important to Know • Sort and classify objects according to two attributes • Represent data using concrete objects, pictures, graphs, and Venn Diagrams • Use tallies • Create and interpret picture graphs • Use vocabulary “more likely” and “less likely” to describe the likelihood of events in their lives . Grade 2 Important to Know • Sort and classify objects according to two attributes and organize data about the objects • Create, read, compare/contrast picture and bar graphs • Translate tallies to graphs • Use “more likely” and “less likely” to describe the likelihood of events in their lives and validate responses with “because” statements . Grade 3 Important to Know • Read and interpret pictographs in which pictures represent more than a single unit • Design an investigation to address a question about themselves and their class • Collect data using observations and surveys • Create picture, bar and informal pie graphs • Use graphs to make identifications, comparisons, and predictions • Match data to appropriate graph • Make predictions regarding likelihood of events based on collected data . Data Analysis and Probability 4-6 (printable PDF) .Essential Skills: 1. Select and use appropriate statistical methods to analyze data. 2. Develop and evaluate inferences and predictions that are based on data. 3. Understand and apply basic concepts of probability. 4. Use paper and pencil to demonstrate skills prior to using technology. . Grade 4 Important to Know • Design an investigation to address a formulated question • Collect data using observations, surveys, or experiments • Represent data using tables, time lines, bar graphs and line graphs • Recognize the difference in representing data by categories and numerically • Make a graph using graph paper with horizontal and vertical axes and label them correctly. • Make a bar graph, plot and read the value of bars between two numbers on the numerical axis • Given a set of data and definitions, find the mode • Compare a pictograph, a bar graph and a line graph of the same data and determine which graph best represents the data so that others will understand it • Make a prediction and design a study to investigate the prediction • Predict the probability of outcomes of simple experiments. Test the predictions with concrete materials . Grade 5 Important to Know • Make a graph with horizontal and vertical axes. Determine what the values along each axis need to be and label the axes accordingly • Demonstrate an understanding that the marks on the horizontal and vertical axes of a graph need to be equidistant and the numbers equally sequenced. • After creating a bar, line, or circle graph, make conclusions about what the graph depicts. • Find and describe the range, mean, mode, and median of a set of data • Determine the probability of a given event using concrete materials • Predict the probability of outcomes of simple experiments. Test the predictions with concrete materials. . Grade 6 Important to Know • After creating a bar or line graph, make conclusions from the information given in the graph • Calculate and compare the mean, median, mode and range of a given set of numbers and choose which is most representative of the data. • Demonstrate that the probability of an event can be represented by a number from 0 through 1 (from impossible to certain) • Given experimental or theoretical probability, make predictions. • Predict the probability of outcomes of simple experiments and test the predictions • Propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions. . Data Analysis and Probability 7-12 (printable PDF) .Essential Skills: 1. Select and use appropriate statistical methods to analyze data 2. Develop and evaluate inferences and predictions that are based on data 3. Understand and apply basic concepts of probability 4. Use paper and pencil to demonstrate skills prior to using technology . Grade 7 Important to Know • Select, create, and use appropriate graphical representations of data including double bar and stacked bar graphs • Use mean, median, mode in problem solving and data analysis • Represent probability as a ratio from 0 through 1 • Compare probable outcomes within an experiment • Use theoretical and experimental probability to form predictions . Grade 8 Important to Know • Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population • Select, create, and use appropriate graphical representations of data, including circle graphs, box plots, scatterplots and stem and leaf plots • Find, use, and interpret measures of central tendency and measures of variation, including interquartile range • Use geometric probability to solve a problem • Use theoretical and experimental probability to form predictions . Grade 9 Important to Know • Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population • Understand histograms, parallel box plots, and scatterplots and use them to display data • Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each • Use theoretical and experimental probability to form predictions . Grade 10 Important to Know • Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each • Know the characteristics of well-designed studies including the role of randomization in surveys and experiments • Use theoretical and experimental probability to form predictions . Grade 11 Important to Know • Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each • Know the characteristics of well-designed studies including the role of randomization in surveys and experiments • Use theoretical and experimental probability to form predictions . Grade 12 Important to Know • Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each • Know the characteristics of well-designed studies including the role of randomization in surveys and experiments • Use theoretical and experimental probability to form predictions • Understand the meaning of measurement data and categorical data, of univariate and bivariate data, and of the term variable • For univariate measurement data display the distribution, describe its shape, and select and calculate summary statistics • For bivariate measurement data display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools • Display and discuss bivariate data where at least one variable is categorical • Recognize how linear formations of univariate data affect shape, center, and spread • Identify trends in bivariate data and find functions that model the data or transform the data so that they can be modeled




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