Grade 7 - Claim 1 - Target G
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Target G
Use random sampling to draw inferences about a population.
Sample Item
Grade 7Test
Claim 1
Concepts and Procedures
Standards
SP-1
Understand that statistics can be used to gain information about a population by examining a sample...
SP-2
Use data from a random sample to draw inferences about a population with an unknown characteristic...
Clarifications
Tasks for this target will ask students to evaluate statements about a sample relative to a population.
Range Achievement Level Descriptors
Evidence Required
1
The student determines whether a sample is representative of a population.
2
The student draws inferences about a population using data from a random sample.
Item Guidelines
Depth of Knowledge
M-DOK1
Recall includes the recall of information such as fact, definition, term, or a simple procedure, as well as performing a simple algorithm or applying a formula. That is, in mathematics a one-step, well-defined, and straight algorithmic procedure should be...
M-DOK2
Skill/Concept includes the engagement of some mental processing beyond a habitual response. A Level 2 assessment item requires students to make some decisions as to how to approach the problem or activity, whereas Level 1 requires students to demonstrate a...
Allowable Item Types
- Multiple Choice, single correct response
Allowable Stimulus Materials
tables, lists, dot plots, histograms
Key/Construct Relevant Vocabulary
random sample, representative sample, inference, validity, variation, data sets, prediction
Allowable Tools
Calculator
Target-Specific Attributes
None
Accessibility
Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items. Language Key Considerations: Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the...
Development Notes
Other tasks will require students to explain variability in estimates or predictions using data from multiple samples of the same size in Claims 2-4.
Task Models
Task Model 1
Item Types
Multiple Choice, single correct responseDepth of Knowledge
M-DOK1Standards
SP-1
Target Evidence Statement
The student determines whether a sample is representative of a population.
Allowable Tools
Calculator
Task Description
Prompt Features: The student is prompted to identify whether a method to collect a sample is more likely to produce a representative sample. Stimulus Guidelines: Context should be familiar to students 12–14 years old. Descriptions should include...
Stimulus
The student is presented with a context where a sample is taken from a population.
Example 1
Example Stem: David wants to estimate the number of students from his seventh grade class whose favorite subject is math. He plans to ask 20 students and wants the best chance that it will be representative of his seventh grade class. From which of the following groups should he randomly select his sample?
A. Students in a math class.
B. Students on a school bus.
C. Students in a seventh grade assembly.
D. Students in the cafeteria.
Answer Choices: Answer choices should be statements relating to samples that represent the population. Distractors should include statements where the sample does not represent the population such as biased samples, or samples that are too general.
Rubric: (1 point) Student selects the correct answer choice (e.g., C).