Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Also Assesses:
MAFS.7.SP.1.1 Understand that statistics can be used to gain information about a
population by examining a sample of the population; generalizations about a
population from a sample are valid only if the sample is representative of that
population. Understand that random sampling tends to produce representative
samples and support valid inferences.
 Assessment Limits :
Context must be grade appropriate
 Calculator :
Netural
 Context :
Required
 Test Item #: Sample Item 1
 Question: A middle school has
 220 students in grade 6;
 170 students in grade 7; and
 100 students in grade 8.
The media specialist wants to know which books are the most popular among the students in her school. Since she cannot ask all the students, she will survey a group of them.
Which sample can best help the media specialist draw conclusions about the preferences of all the students in the school?
 Difficulty: N/A
 Type: MC: Multiple Choice
 Test Item #: Sample Item 2
 Question:
A company plans to ship 2,000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have an incorrect weight.
Based on this data, how many packages out of the 2,000 should be predicted to have an incorrect weight?
 Difficulty: N/A
 Type: EE: Equation Editor
 Test Item #: Sample Item 3
 Question: A chocolate company produces 2 types of chocolate: type A and type B. The company
selects 25 random packages of each type to check their weight and finds that one
package of type A has an incorrect weight and 3 packages of type B have an incorrect
weight.
How many packages should the company predict have an incorrect weight when it checks 2000 of each type?
 Difficulty: N/A
 Type: EE: Equation Editor
 Test Item #: Sample Item 4
 Question: A chocolate company selects 50 random packages and checks their weight. It finds that
2 packages have an incorrect weight.
How many packages out of 2000 should the company predict have an incorrect weight?
 Difficulty: N/A
 Type: EE: Equation Editor
Related Courses
Related Access Points
Related Resources
Assessments
Formative Assessments
Lesson Plans
Original Student Tutorial
Perspectives Video: Experts
Perspectives Video: Professional/Enthusiasts
Perspectives Video: Teaching Ideas
ProblemSolving Tasks
Text Resource
MFAS Formative Assessments
Students are asked to use data from a random sample to draw an inference about a population.
Students are asked to use data from a random sample to estimate a population parameter and explain what might be done to increase confidence in the estimate.
Original Student Tutorials Mathematics  Grades 68
Compare multiple samples of lionfish to make generalizations about the population by analyzing the samples’ Mean Absolute Deviations and their distributions in this interactive tutorial.
Student Resources
Original Student Tutorial
Compare multiple samples of lionfish to make generalizations about the population by analyzing the samples’ Mean Absolute Deviations and their distributions in this interactive tutorial.
Type: Original Student Tutorial
Perspectives Video: Expert
How do scientists collect information from the world? They sample it! Learn how scientists take samples of phytoplankton not only to monitor their populations, but also to make inferences about the rest of the ecosystem!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
ProblemSolving Tasks
This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members. Variation 2 leads students through a physical simulation for generating sample proportions by sampling, and resampling, marbles from a box.
Type: ProblemSolving Task
This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). There are two important goals in this task: seeing the need for random sampling and using randomization to investigate the behavior of a sample statistic. These introduce the basic ideas of statistical inference and can be accomplished with minimal knowledge of probability.
Type: ProblemSolving Task
Parent Resources
Perspectives Video: Expert
How do scientists collect information from the world? They sample it! Learn how scientists take samples of phytoplankton not only to monitor their populations, but also to make inferences about the rest of the ecosystem!
Download the CPALMS Perspectives video student note taking guide.
Type: Perspectives Video: Expert
ProblemSolving Tasks
This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members. Variation 2 leads students through a physical simulation for generating sample proportions by sampling, and resampling, marbles from a box.
Type: ProblemSolving Task
This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). There are two important goals in this task: seeing the need for random sampling and using randomization to investigate the behavior of a sample statistic. These introduce the basic ideas of statistical inference and can be accomplished with minimal knowledge of probability.
Type: ProblemSolving Task