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Math Grade 8 Standards

Idaho Department of Education
Content Standards
Objective Sub Objectives Task Analysis Essential Vocabulary Sample Assessment Resources
Standard 5: Data Analysis, Probability, and Statistics
Goal 5.1: Understand data analysis 8.M.5.1.1 Analyze and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs , line plots, bar graphs, histograms, circle graphs , and stem-and-leaf plots.

CL: D, E
Calc: CR
Content Limit: Graphics may have at most ten data categories. Circle graphs may have at most eight sectors. Scales are in increments appropriate to the application. Histogram intervals must be consistent.

• Analyze and interpret tables, charts, and graphs, including frequency tables, scatter plots, broken line graphs, line plots, bar graphs, histograms, circle graphs, and stem-and-leaf plots • Discuss and identify the correspondence between data sets and their graphical representations outlier • frequency table • histogram • scatter plot • broken line graph • line plot • circle graph • stem-and-leaf plot    
  8.M.5.1.2 Explain and justify conclusions drawn from tables , charts, and graphs.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Explain and justify conclusions drawn from tables, charts, and graphs • Identify the relationship between data sets in tables, charts or graphs

• Determine and discuss any positive or negative correlation

• Support conclusions using mathematical reasoning

positive/ negative correlation    
8.M.5.1.3 Use appropriate vocabulary and notations.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Use appropriate vocabulary and notations • Communicate using correct mathematical terminology      
Goal 5.2: Collect, organize, and display data. 8.M.5.2.1 Collect, organize, and display data with appropriate notation in tables, charts, and graphs, including scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots.

CL: C
Calc: CN
Content Limit: Given data, choose a display. Displays limited to scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots. ‘Collect’ to be assessed in classroom, not on the ISAT.

• Collect, organize, and display data with appropriate notation in tables, charts, and graphs, including scatter plots, broken line graphs, line plots, bar graphs, histograms, and stem-and-leaf plots • Select appropriate graphical representation for given data

• Organize data as needed to create visual displays

• Discuss benefits of various types of graphs

• Draw, label, and create selected graphical representation for data

     
Goal 5.3: Apply simple statistical measurements. 8.M.5.3.1 Choose and calculate the appropriate measure of central tendency – mean, median, and mode.

CL: C
Calc: YES
Content Limit: Items should be set in a real -world context. Items may assess finding the range, mean, median, or mode of a set of data presented in a chart, table, graph, or plot (e.g., scatter plot, line plot, or stem-and-leaf plot). Items that assess understanding of these concepts may ask students to draw conclusions from an analysis of range and/or central tendency measures. Data set should include no more than 12 data points. Data set may have an even or an odd number of data points and does not need to be in numeric order. No more than three categories of information should be used in data sets.

• Choose and calculate the appropriate measure of central tendency – mean, median, mode and range • Calculate mean, median, mode and range of data sets

• Choose measure of central tendency which best represents data

mean • median • mode • range • central tendency    
  8.M.5.3.2 Explain the significance of distribution of data, including range, frequency, gaps, and clusters.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Explain the significance of distribution of data, including range, frequency, gaps, and clusters • Cite any trends which appear in data

• Analyze the significance of these trends

frequency • clusters • distribution • gaps    
Goal 5.4: Understand basic concepts of probability. 8.M.5.4.1 Model situations of probability using simulations.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Model situations of probability using simulations • Perform experiments and simulations and draw conclusions about probability probability • experimental/theoretical • probability • event    
  8.M.5.4.2 Recognize equally likely outcomes .

CL: C, D
Calc: CN
Content Limit: Items describe familiar situations such as spinning a spinner, rolling one or two dice (does not include sum of two dice ), or drawing different colored objects from a container. Equally likely outcomes must pertain to the same event.

• Recognize equally likely outcomes • Compare and predict outcomes of common situations involving equally likely outcomes equally likely outcome • random    
8.M.5.4.3 Explain that probability ranges from 0% to 100% and identify a situation as having high or low probability .

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Explain that probability ranges from 0% to 100% and identify a situation as having high or low probability • Compare fraction, percent & decimal representations of probability

• Recognize and compare the range of possible outcomes

     
8.M.5.4.4 Use the language of probability.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Use the language of probability • Define probability terms • Take care in using chances versus odds in probability

• Favorable outcome

   
Goal 5.5: Make predictions or decisions based on data. 8.M.5.5.1 Make predictions based on experimental and theoretical probabilities.

CL: D, E
Calc: YES
Content Limit: Items may include combinations of events (e.g., rolling a number cube then spinning a spinner or drawing two cards without replacement). Items may not include conditional probability. Items may require comparison between experimental and theoretical probabilities.

• Make predictions based on experimental and theoretical probabilities • Distinguish between experimental and theoretical probability

• Calculate theoretical probability

• Perform experiments, collect data, and find experimental probability

• Predict future outcomes based on probabilities

• Calculate the probability of compound events (with or without replacement)

experimental/theoretical • probability • simple/compound event • replacement    
  8.M.5.5.2 Conduct statistical experiments and interpret results using tables, charts, or graphs.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Conduct statistical experiments and interpret results using tables, charts, or graphs • Perform probability experiments

• Collect and organize data using tables, charts or graphs

• Draw conclusions from the data

     
8.M.5.5.3 Use appropriate vocabulary and notations.

CL:
Calc:
Content Limit: Assessed in the classroom, not on the ISAT.

• Use appropriate vocabulary and notations • Communicate using correct mathematical terminology      
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