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Mathematics - Secondary Curriculum Mathematics Grade 7
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Use random sampling to draw inferences about a population (Standards 7.SP.1-2). Draw informal comparative inferences about two populations (Standards 7.SP.3-4). Investigate chance processes and develop, use, and evaluate probability models (Standards 7.SP.5-8).

Standard 7.SP.4

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

  • Chapter 7 - Mathematical Foundation (UMSMP)
    This is Chapter 7 of the Utah Middle School Math: Grade 7 textbook. It provides a Mathematical Foundation for Expressions and Equations II - Real-world equations, Inequalities.
  • Chapter 7 - Student Workbook (UMSMP)
    This is Chapter 7 of the Utah Middle School Math: Grade 7 student workbook. It focuses on Probability and Statistics.
  • Designing Experiments: Physicians' Health Study
    How do scientists and doctors use data to deal with and control disease? This video from Annenberg's Learners Learning Math show how data was used to design an trial dealing with epidemiology. Students then apply their new understanding to take part in an experiment and design a trial of their own. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Estimation from Random Sampling
    By taking random samples of the number of penguins in a sub-region in this interactive students understand how those samples can be used to estimate the total penguin population in the region. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Grade 7 Math Module 5: Statistics and Probability (EngageNY)
    In this module, students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. Probability provides a foundation for the inferential reasoning developed in the second half of this module. Additionally, students build on their knowledge of data distributions that they studied in Grade 6, compare data distributions of two or more populations, and are introduced to the idea of drawing informal inferences based on data from random samples.
  • Grade 7 Unit 5: Inferences (Georgia Standards)
    The units in this instructional framework emphasize key standards that assist students in developing a deeper understanding of numbers. They have learned to recognize and express different representations of rational numbers. Now they will learn how to apply the statistical aspect of mathematics to the measures of center, variability and population. The Big Ideas that are expressed in this unit are integrated with such routine topics as estimation, mental and basic computation. All of these concepts need to be reviewed throughout the year.
  • Line Plot Representation of Deviation from the Mean
    The concepts of means and deviations are the focus of this interactive from Annenberg. Students manipulate dots on a line graph to experiments with deviation. The classroom activity helps them understand positive and negative deviation. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Student Task: Temperatures
    In this task, students will use graphs and box diagrams to compare temperatures in California and Washington

UEN logo - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.