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Grade 6 Mathematics Item Specification C1 TJ Grade 6 Math C1 TJ Claim 1: Concepts and Procedures Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency. Content Domain: Statistics and Probability Target J [a]: Summarize and describe distributions. (DOK 1, 2) Tasks for this target will ask students to create number lines, dot plots, histograms, and box plots. The reporting of quantitative measures (median and/or mean, interquartile range and/or mean absolute deviation) may be included in these tasks or delivered as separate tasks. Other tasks for this target quantitative measures. Standards: DOK Target(s): Evidence Required: will ask students to match the shape of a data distribution to its 6.SP.4, 6.SP.5 1, 2 1. The student displays numerical data in number lines, dot plots, histograms, and box plots. 2. The student summarizes numerical data sets by determining quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation). 3. Allowable Item Types*: Task Models: The student summarizes numerical data sets by describing any overall pattern and any striking deviations from the overall pattern in reference to the quantitative measures. 4. The student summarizes numerical data sets by relating the choice of measures of center and variability to the shape of the data distribution. SR, CR, TE 1. CR (DOK 2) Prompt Features: The student is prompted to construct number lines, dot plots, histograms, or box plots that display a set of numerical data. Stimulus: The student is presented with a set of numerical data. 1. TE (DOK 2) Prompt Features: The student is prompted to generate number lines, dot plots, histograms, or box plots that display a set of numerical data. Stimulus: The student is presented with a set of numerical data. Interaction: The student uses a graphing tool to display the numerical data. 2. SR (DOK 1, 2) Prompt Features: The student is prompted to identify Version 1.0 Grade 6 Mathematics Item Specification C1 TJ quantitative values for the measures of center (median and/or mean) and/or variability (interquartile range and/or mean absolute deviation) for given sets of numerical data. Stimulus: The student is presented with sets of numerical data. 2. CR (DOK 1, 2) Prompt Features: The student is prompted to determine quantitative values for the measures of center (median and/or mean) and/or variability (interquartile range and/or mean absolute deviation) for given sets of numerical data. Stimulus: The student is presented with sets of numerical data. 3. SR (DOK 2) Prompt Features: The student is prompted to identify whether statements describe any overall pattern and any striking deviations from the overall pattern in reference to the quantitative measures for given sets of numerical data. Stimulus: The student is presented with sets of numerical data. 3. CR (DOK 2) Prompt Features: The student is prompted to write statements that describe any overall pattern and any striking deviations from the overall pattern in reference to the quantitative measures for given sets of numerical data. Stimulus: The student is presented with sets of numerical data. 4. SR (DOK 1) Prompt Features: The student is prompted to identify whether statements relate the choice of measures of center and variability to the shape of the data distribution for given sets of numerical data. Stimulus: The student is presented with sets or graphs of numerical data. Allowable Stimulus Materials: Allowable Disciplinary Vocabulary: Allowable Tools: Target-Specific Attributes: 4. CR (DOK 2) Prompt Features: The student is prompted to write statements that relate the choice of measures of center and variability to the shape of the data distribution for given sets of numerical data. Stimulus: The student is presented with sets or graphs of numerical data. number line diagrams, dot plots, histograms, box plots variability, interquartile range, mean absolute deviation, center, spread, mean, median, shape pertaining to statistics For some items, calculators and spreadsheet software may be used. For TE items, computer graphing software may be necessary. Version 1.0 Grade 6 Mathematics Item Specification C1 TJ Key Nontargeted Constructs: Accessibility Concerns: It will be a challenge to assess blind or low-vision students on number line diagrams, dot plots, histograms, and box plots. Sample Items: MAT.06.TE.1.000SP.J.171 *SR = selected-response item; CR = constructed-response item; TE = technology-enhanced item; ER = extended-response item; PT = performance task Version 1.0