Core Ideas

• Students collect, organize, display, and interpret data about themselves and their surroundings.
• Collect information from group-generated survey question.
• Represent data using pictures, bar graphs, tally charts, Venn diagrams, and pictographs.
• Describe parts of the data and the set of data as a whole to determine what the data shows.

Core Ideas

• Collect, organize, display, and interpret data about themselves and their surroundings.
• Write a survey question for a given situation.
• Represent and interpret data using pictographs, bar graphs, tally charts, Venn diagrams, and other representations.
• Describe and compare data using qualitative and quantitative measures.
• Represent the same data in more than one way.

MARS Tasks

Our Pets

• Task
• Rubric
• Core Mathematical Ideas and Challenges
• Questions for Teacher Reflection
• Discussion of Successful Examples of Student Work
• Discussion of Student Misconceptions
• Graph and Analysis of the MARS Task Data
• Summary of Student Understandings and Misunderstandings
• Implications for Instruction
• Entire "Our Pets" Toolkit Packet (large file)

Core Ideas

• Collect, organize, display, and interpret data about themselves and their surroundings.
• Describe important features of a set of data (maximum, minimum, increasing, decreasing, most, least, and comparison).
• Represent data using tables, line plots, bar graphs, and pictographs.

Core Ideas

• Collect, organize, represent, and interpret numerical and categorical data, and clearly communicate their findings. Understand and apply basic concepts of probability.
• Represent data using tables, charts, line plots, and bar graphs.
• Interpret data to answer questions about a situation.
• Describe the shape and important features of a set of data.
• Describe events as likely or unlikely and discuss the degree of likelihood (using such words as certain, equally likely, and impossible).
• Predict the probability of simple experiments and express the results numerically (e.g. 3 out of 4).

MARS Tasks

Votes

• Task
• Rubric
• Core Mathematical Ideas and Challenges
• Questions for Teacher Reflection
• Discussion of Successful Examples of Student Work
• Discussion of Student Misconceptions
• Graph and Analysis of the MARS Task Data
• Summary of Student Understandings and Misunderstandings
• Implications for Instruction
• Entire "Votes" Toolkit Packet (large file)

Core Ideas

• Display, analyze, compare, and interpret different data sets.
• Compare different sets of data.
• Use measures of center (mean, median, and mode) and understand what each does and does not indicate about the data set.
• Compare different representations of the same data and evaluate how well each representation shows important aspects of the data.
• Organize and display data in appropriate graphs and representations (e.g., histograms and line graphs) and explain which types of graphs are appropriate for different kinds of data sets.)

MARS Tasks

Bar Charts

• Task
• Rubric
• Core Mathematical Ideas and Challenges
• Questions for Teacher Reflection
• Discussion of Successful Examples of Student Work
• Discussion of Student Misconceptions
• Graph and Analysis of the MARS Task Data
• Summary of Student Understandings and Misunderstandings
• Implications for Instruction
• Entire "Bar Charts" Toolkit Packet (large file)

Core Ideas

• Formulate questions that can be addressed with data and collect, organize, analyze, and display relevant data to answer them.
• 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 box plots and scatterplots.
• Find, use, and interpret measures of center and spread, including interquartile range.
• Discuss and understand the correspondence between data sets and their graphical representations, especially box plots and scatterplots.
• Make conjectures about possible relationships between two characteristics of a population on the basis of scatterplots of the data, including correlations and approximate lines of fit.

Core Ideas

• Select and use appropriate statistical methods to analyze data and understand and apply basic concepts of probability.
• Understand the relationship between two sets of data (bivariate), display such data in a scatterplot, and describe trends and shape of the plot including correlations (positive, negative, or no) and lines of best fit.
• Make inferences based on the data and evaluate the validity of conclusions drawn.
• Compute and interpret the expected value of random variables in simple cases.
• Understand the concepts of conditional probability and independent events and compute the probability of a compound event.

Core Ideas

• Select and use appropriate statistical methods to analyze data and understand and apply concepts of probability.
• Find, use, and interpret measures of center and spread, including standard deviation.
• For bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools.
• Evaluate studies that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions.
• Apply the concept of expected value in problem situations.
• Use and interpret problems involving probability in terms of areas of geometric figures.