# MAFS.912.S-IC.2.4

Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
General Information
Subject Area: Mathematics
Domain-Subdomain: Statistics & Probability: Making Inferences & Justifying Conclusions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Make inferences and justify conclusions from sample surveys, experiments, and observational studies. (Algebra 2 - Major Cluster) -

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.

Date of Last Rating: 02/14
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1207310: Liberal Arts Mathematics (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
2101300: Anthropology (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2120710: Anthropology Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2102310: Economics (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
2102320: Economics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
2102390: The American Economic Experience: Scarcity and Choice Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100320: United States History Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100340: African-American History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100350: Florida History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100360: Latin American History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100370: Eastern and Western Heritage (Specifically in versions: 2014 - 2015, 2015 - 2017, 2017 - 2022 (current), 2022 and beyond)
2100380: Visions and Their Pursuits:An American Tradition-U.S.History to 1920 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100400: The History of The Vietnam War (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100470: Visions & Their Pursuits:An AmerTrad-U.S. Hist to 1920 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100480: Visions and Countervisions: Europe, U.S. and the World from 1848 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2102800: Floridaās Preinternational Baccalaureate Comparative Economics With Financial Literacy (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2103300: World Cultural Geography (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104300: Introduction to the Social Sciences (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104320: Global Studies (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104330: Voluntary School/Community Service (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104340: Women's Studies (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104600: Multicultural Studies (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2105310: World Religions (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2105340: Philosophy (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2105350: Ethics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2120910: Philosophy Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2120915: Philosophy Honors 2 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106310: United States Government (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
2106320: United States Government Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106340: Political Science (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106350: Law Studies (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106355: International Law (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106360: Comparative Political Systems (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106370: Comprehensive Law Studies (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106375: Comprehensive Law Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106380: Legal Systems and Concepts (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106390: Court Procedures (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106440: International Relations (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106445: International Relations 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106460: The American Political System: Process and Power Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106468: Constitutional Law Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2106800: Florida's Preinternational Baccalaureate United States Government (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2107300: Psychology 1 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2107310: Psychology 2 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2108300: Sociology (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109310: World History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109320: World History Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109330: African History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109350: Contemporary History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109410: Jewish History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109430: Holocaust (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109810: Floridaās Preinternational Baccalaureate World History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100310: United States History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100315: United States History for Credit Recovery (Specifically in versions: 2015 - 2022 (current), 2022 and beyond)
2102315: Economics for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022 (current), 2022 and beyond)
2102335: Economics with Financial Literacy (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022 (current), 2022 and beyond)
2102340: Economics with Financial Literacy for Credit Recovery (Specifically in versions: 2015 - 2018, 2018 - 2022 (current), 2022 and beyond)
2102345: Economics with Financial Literacy Honors (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022 (current), 2022 and beyond)
2106315: United States Government for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2109315: World History for Credit Recovery (Specifically in versions: 2015 - 2022 (current), 2022 and beyond)
2105355: Philosophy Honors: Ethics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1200335: Algebra 2 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated))
2104350: Engaged Citizenship through Service-Learning 1 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2104360: Engaged Citizenship through Service-Learning 2 (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100460: Eastern and Western Heritage Honors (Specifically in versions: 2014 - 2015, 2015 - 2017, 2017 - 2022 (current), 2022 and beyond)
2100335: African-American History (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
2100336: African-American History Honors (Specifically in versions: 2015 - 2022 (current), 2022 and beyond)
2100405: Holocaust History Honors (Specifically in versions: 2015 - 2022 (current), 2022 and beyond)
2102374: Personal Financial Literacy Honors (Specifically in versions: 2015 - 2018, 2018 - 2019, 2019 - 2022 (current), 2022 and beyond)
2100365: African History Honors (Specifically in versions: 2015 - 2022 (current), 2022 and beyond)
7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 and beyond (current))
2106410: Humane Letters 1 - History (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.912.S-IC.2.AP.4a: Understand that the margin of error produces a range of values.
MAFS.912.S-IC.2.AP.4b: Use the sample data to create a proportional relationship to find the population data. For example, if there are 10 squirrels living in a 200 square foot area, how many squirrels are in a 2000 square foot area?
MAFS.912.S-IC.2.AP.4c: Use the sample data to estimate the population mean.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Assessments

Sample 2 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

Sample 3 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

Sample 1 - High School Algebra 2 State Interim Assessment:

This is a State Interim Assessment for 9th-12th grades.

Type: Assessment

## Lesson Plans

Sea Otter Spotter - A Population Growth Curve Using Southern Sea Otter Census Data:

Students explore the world of population biology using the sea otter as a case study. The lesson involves reading technical reports from the US Fish and Wildlife Service as well as reading information about the sea otter from non-governmental organizations. Students are introduced to a specialized wildlife capture technique and monitoring of the endangered population through annual census data. Using that data students explore the limiting factors affecting sea otter growth and apply mathematical knowledge to analyze population growth curves. Students also produce an argument on whether the sea otter has met criteria and should be removed from the endangered species list.

Type: Lesson Plan

Hot Coffee Coming Through:

In this lesson, students will explore data collection using the temperature probe sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation to determine which coffee mug is the best. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a problem based STEM challenge. Due to the multiple skills there are many standards that are covered.

There are two options for this lab. The first student handout is for students at an average high school statistics level (Algebra 1) and will allow for standard deviation and graphical analyses of the data. The second option is for advanced students that have been exposed to hypothesis testing of claims (Algebra 2 or AP Stats).

Type: Lesson Plan

The Cereal Prize Estimation:

How many boxes of cereal would you have to purchase in order win all six prizes?

This lesson uses class data collected through simulations to allow students to answer this question. Students simulate purchasing cereal boxes and create a t-confidence interval with their data to determine how many boxes they can expect to buy.

Type: Lesson Plan

The Election Resource:

This lesson is designed for students who enrolled in an elementary statistics or math for college readiness class who are at the stage of collecting and analyzing data. In their algebra 1 class, they were introduced to statistical topics such as line of best-fit and equation of a line as they relate to real-world meaning.

Type: Lesson Plan

## Perspectives Video: Experts

Statistical Sampling Results in setting Legal Catch RateĀ :

Fish Ecologist, Dean Grubbs, discusses how using statistical sampling can help determine legal catch rates for fish that may be endangered.

Type: Perspectives Video: Expert

Mathematically Modeling Hurricanes:

Entrepreneur and meteorologist Mark Powell discusses the need for statistics in his mathematical modeling program to help better understand hurricanes.

Type: Perspectives Video: Expert

Statistical Inferences and Confidence Intervals :

Florida State University Counseling Psychologist discusses how he uses confidence intervals to make inferences on college students' experiences on campus based on a sample of students.

Type: Perspectives Video: Expert

## Perspectives Video: Professional/Enthusiasts

Nestle Waters & Statistical Analysis:

Hydrogeologist from Nestle Waters discusses the importance of statistical tests in monitoring sustainability and in maintaining consistent water quality in bottled water.

Type: Perspectives Video: Professional/Enthusiast

Fishery Independent vs Dependent Sampling Methods for Fishery Management:

NOAA Scientist Doug Devries discusses the differences between fishery independent surveys and fishery independent surveys.  Discussion includes trap sampling as well as camera sampling. Using graphs to show changes in population of red snapper.

Type: Perspectives Video: Professional/Enthusiast

Sample Size and Shark Research:

Deep sea shark researcher, Chip Cotton, discusses the need for a Power Analysis to determine the critical sample size in order to make inferences on how oil spills affect shark populations.

Type: Perspectives Video: Professional/Enthusiast

Camera versus Trap Sampling: Improving how NOAA Samples Fish :

Underwater sampling with cameras has made fishery management more accurate for NOAA scientists.

Type: Perspectives Video: Professional/Enthusiast

Sampling Strategies for Ecology Research in the Intertidal Zone:

Will Ryan describes methods for collecting multiple random samples of anemones in coastal marine environments.

Type: Perspectives Video: Professional/Enthusiast

Filtering Noise from a Data Sample:

Safe water? Safe soil? How can we calibrate our equipment to detect small levels of pollutants and ignore other substances in the sample?

Type: Perspectives Video: Professional/Enthusiast

## Perspectives Video: Teaching Ideas

Pitfall Trap Classroom Activity:

Patrick Milligan shares a teaching idea for collecting insect samples.

Type: Perspectives Video: Teaching Idea

Ecological Sampling Methods and Population Density:

Dr. David McNutt explains how a simple do-it-yourself quadrat and a transect can be used for ecological sampling to estimate population density in a given area.

Type: Perspectives Video: Teaching Idea

## Text Resources

Sample Size Calculation:

This informational text resource is intended to support reading in the content area. This article describes the important process used when setting up trials for statistical investigation. The article explains each parameter that is needed to calculate the sample size, then provides examples and illustrates the process. This article will enhance an upper level math course's study of statistics after significance levels and basic inferential statistics concepts have been taught.

Type: Text Resource

Scientists See the World Differently:

This informational text resource is intended to support reading in the content area. Pew Research Center surveyed scientists and the general public on 12 science oriented issues, including genetically modified foods, vaccines, nuclear power and evolution. Results of the survey showed large discrepancies between the thoughts, causes and recommendations on the issues of the scientists and the general public. Sample sizes and margins of errors are given on the survey results which are represented in percent form. The overall survey showed that the public and the scientists see the world very differently.

Type: Text Resource

## Video/Audio/Animation

MIT BLOSSOMS - Is Bigger Better? A Look at a Selection Bias that Is All Around Us:

Type: Video/Audio/Animation

## STEM Lessons - Model Eliciting Activity

The Election Resource:

This lesson is designed for students who enrolled in an elementary statistics or math for college readiness class who are at the stage of collecting and analyzing data. In their algebra 1 class, they were introduced to statistical topics such as line of best-fit and equation of a line as they relate to real-world meaning.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.