Students investigate how to use sampling to make inferences about larger populations of interest, engaging in hands-on activities to select random samples and to compare samples of different sizes.
Math
Unit 7
7th Grade
In Unit 7, seventh-grade students investigate how they can use sampling to make inferences about larger populations of interest. They begin the unit by understanding that random sampling tends to produce the most representative and “fair” samples and that the size of the sample can make a difference in the accuracy of predictions and the variability of results. Students engage in hands-on activities to select random samples and to compare samples of different sizes. Students also calculate measures of center and variability of samples, most notably, the mean and the mean absolute deviation, or MAD, and use these measures to compare across different populations (MP.2). Throughout the unit, students reason about data, make connections, and defend their reasoning by constructing arguments (MP.3). Students also re-engage in the major work of the grade, particularly their work with ratios and proportions, when they use proportional reasoning to estimate population characteristics based on sample statistics.
In sixth grade, students began their study of statistics by understanding what makes a statistical question. They studied shapes of distributions of data and calculated measures of center and spread. Students made connections between the data and the contexts they represented, ensuring the numerical aspects of statistics were not separated from the statistical question that drove the analysis. All of these understandings will support seventh-grade students in their work in this unit.
In eighth grade, students will shift to study patterns of association in bivariate data. They will collect data to represent two categorical variables and analyze the results to determine if there are associations or tendencies between the variables. Later in high school, students will delve deeply into statistics and, using their understanding of mean and MAD, they will use mean and standard deviation to fit data to normal distributions.
Note: In December 2022, this unit was revised slightly to align more closely with the Common Core State Standards for Mathematics (CCSSM). The revision involved shifting when the concept of mean absolute deviation (MAD) was introduced from seventh grade to sixth grade. As a result, the introductory lesson on MAD was removed from this unit and placed in sixth grade. Students have a chance to review MAD in Lesson 4 before they use it to compare two populations in Topic C.
Pacing: 11 instructional days (9 lessons, 1 flex day, 1 assessment day)
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The following assessments accompany Unit 7.
Have students complete the Pre-Unit Assessment and Pre-Unit Student Self-Assessment before starting the unit. Use the Pre-Unit Assessment Analysis Guide to identify gaps in foundational understanding and map out a plan for learning acceleration throughout the unit.
Have students complete the Mid-Unit Assessment after lesson 4.
Use the resources below to assess student mastery of the unit content and action plan for future units.
Use student data to drive your planning with an expanded suite of unit assessments to help gauge studentsâ€™ facility with foundational skills and concepts, as well as their progress with unit content.
To see all the materials needed for this course, view our 7th Grade Course Material Overview.
distribution
interquartile range
measure of center
mean absolute deviation (MAD)
mean (average)
population characteristic
population
population proportion
random sample
range
representative sample
sample population
sample statistic
sample proportion
statistical question
To see all the vocabulary for Unit 7, view our 7th Grade Vocabulary Glossary.
Topic A: Understanding Populations and Samples
Topic B: Using Sample Data to Draw Inferences About a Population
Topic C: Using Sample Data to Compare Two or More Populations
Key
Major Cluster
Supporting Cluster
Additional Cluster
CCSS.MATH.PRACTICE.MP1 — Make sense of problems and persevere in solving them.
CCSS.MATH.PRACTICE.MP2 — Reason abstractly and quantitatively.
CCSS.MATH.PRACTICE.MP3 — Construct viable arguments and critique the reasoning of others.
CCSS.MATH.PRACTICE.MP4 — Model with mathematics.
CCSS.MATH.PRACTICE.MP5 — Use appropriate tools strategically.
CCSS.MATH.PRACTICE.MP6 — Attend to precision.
CCSS.MATH.PRACTICE.MP7 — Look for and make use of structure.
CCSS.MATH.PRACTICE.MP8 — Look for and express regularity in repeated reasoning.
Unit 6
Geometry
Unit 8
Probability