Curriculum / Math / 7th Grade / Unit 7: Statistics / Lesson 1
Math
Unit 7
7th Grade
Lesson 1 of 9
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Understand and identify populations and sample populations for statistical questions.
The core standards covered in this lesson
7.SP.A.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.
The foundational standards covered in this lesson
6.SP.A.1 — Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages.
6.SP.B.5 — Summarize numerical data sets in relation to their context, such as by:
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
In sixth grade, students studied statistical questions, understanding that statistical questions anticipate variety in the data. This is the first time students investigate the taking of a sample of a population in order to answer a statistical question.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Investigate the statistical question:
On average, how many hours of sleep did the students in your class get last night?
a. What is the population for this question?
b. How can you collect the data?
c. A population characteristic is determined by using data from an entire population. Based on your data collection, will your answer to this question be a population characteristic? Why or why not?
Investigate the statistical questions:
Question 1: On average, how many hours of sleep did all of the students in your school get last night?
Question 2: On average, how many hours of sleep did the residents of your city or town get last night?
a. What are the populations for each question?
b. Will you collect data for the entire population or a sample of the population for each question? How will you collect the data?
c. A sample statistic is determined by using data from a sample of a population. Based on your data collection, will your answers to these questions be sample statistics or population characteristics? Why?
For each statistical question below:
a. How many movies do students in your class see in a month?
b. What is the median price of a two-bedroom condo or house in your city or town?
c. How many pets do people own in your neighborhood?
d. What is the typical life span of a particular brand of flashlight battery?
Grade 7 Mathematics > Module 5 > Topic C > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Lin wants to know how many games teenagers in the United States have on their phones.
a. What is the population for Lin’s question?
b. Explain why collecting data for this population would be difficult.
c. Give an example of a sample Lin could use to help her answer her question.
Grade 7 Unit 8 Lesson 12 Teacher Version is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed March 29, 2018, 12:30 p.m..
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 2
Topic A: Understanding Populations and Samples
7.SP.A.1
Describe sampling methods that result in representative samples.
Generate a random sample for a statistical question.
7.SP.A.1 7.SP.A.2
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Topic B: Using Sample Data to Draw Inferences About a Population
Analyze data sets using measures of center and measures of variability
7.SP.B.3 7.SP.B.4
Determine the impact of sample size on variability and prediction accuracy.
7.SP.A.2
Estimate population proportions using sample data.
Topic C: Using Sample Data to Compare Two or More Populations
Compare different populations by analyzing visual data distributions.
Compare populations by analyzing numerical data.
Identify meaningful differences between populations using the mean and mean absolute deviation (MAD) of samples.
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