Keywords: Estimation (64)

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Mathematical Practice 6: Attend to Precision

Mathematical Practice 6: Attend to Precision

At Inside Mathematics, we’ve assembled multiple ways for educators to begin to ... (more)

At Inside Mathematics, we’ve assembled multiple ways for educators to begin to transform their teaching practices. You might be in search of materials and tasks you can use immediately with your students; you can search by grade level and content area below to find core mathematical principles as well as materials developed by the Mathematics Assessment Resource Service (MARS). If you want to develop your understanding of the national Common Core Standards for Mathematical Practice #6, look here. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Collection:
Inside Mathematics
Provider:
Noyce Foundation
Author:
Individual Authors
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Mathematical Statistics, Spring 2003

Mathematical Statistics, Spring 2003

Decision theory, estimation, confidence intervals, hypothesis testing. Introduces large sample theory. Asymptotic ... (more)

Decision theory, estimation, confidence intervals, hypothesis testing. Introduces large sample theory. Asymptotic efficiency of estimates. Exponential families. Sequential analysis. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Dudley, Richard M.
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Metric Capers

Metric Capers

In this outdoor activity, learners measure familiar objects in nature to practice ... (more)

In this outdoor activity, learners measure familiar objects in nature to practice working with the metric system. The goal is for learners to develop their "metric senses" by measuring and estimating in metric units the mass, length, temperature, and volume of familiar objects. Can be adapted into an indoor activity on a rainy day. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Collection:
Lawrence Hall of Science
Provider:
U.C. Berkeley
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The Minimum Variance Unbiased Estimator

The Minimum Variance Unbiased Estimator

This module motivates and introduces the minimum variance unbiased estimator (MVUE). This ... (more)

This module motivates and introduces the minimum variance unbiased estimator (MVUE). This is the primary criterion in the classical (frequentist) approach to parameter estimation. We introduce the concepts of mean squared error (MSE), variance, bias, unbiased estimators, and the bias-variance decomposition of the MSE. (less)

Subject:
Science and Technology
Material Type:
Readings
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Clayton Scott
Rob Nowak
No Strings Attached
Modern Navigation, Fall 2002

Modern Navigation, Fall 2002

Introduces the concepts and applications of navigation techniques using celestial bodies and ... (more)

Introduces the concepts and applications of navigation techniques using celestial bodies and satellite positioning systems such as the Global Positioning System (GPS). Topics include astronomical observations, radio navigation systems, the relationship between conventional navigation results and those obtained from GPS, and the effects of the security systems, Selective Availability, and anti-spoofing on GPS results. Laboratory sessions cover the use of sextants, astronomical telescopes, and field use of GPS. Application areas covered include ship, automobile, and aircraft navigation and positioning, including very precise positioning applications. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Herring, Thomas
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Mystery Jars

Mystery Jars

This activity puts a mathematical twist on the familiar äóěguessing jar.äó No ... (more)

This activity puts a mathematical twist on the familiar äóěguessing jar.äó No guesses allowed, estimates only. Choose an object that comes in two sizes, such as large and mini pompoms, and fill one of two identical jars with each. Ask learners to estimate how many in each jar and to write down their reasoning. Encourage them to read what each other has written and decide if they agree or not. If you must give prizes, give them out for good explanations of reasoning, but not for the closest answer. Itäóťs estimation strategies that count. Available as a web page and downloadable pdf. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Games
Collection:
Mixing in Math
Provider:
TERC
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Normal Estimate Experiment

Normal Estimate Experiment

This resource consists of a Java applet and expository text. The applet ... (more)

This resource consists of a Java applet and expository text. The applet simulates a random sample from a normal distribution, and computes standard point estimates of the distribution mean and standard deviation. The bias and mean square error are also computed. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Simulations
Collection:
Virtual Laboratories in Probability and Statistics
Provider:
University of Alabama in Huntsville
Author:
Kyle Siegrist
No Strings Attached
One Grain of Rice

One Grain of Rice

Beginning with the famous story of the village girl trying to feed ... (more)

Beginning with the famous story of the village girl trying to feed her people, the lesson involves students in the mathematics of exponential growth. Students work collaboratively to come up with a bargaining plan to trick a raja into feeding the village using algebra and estimation. The complete activity includes the development of an exponential equation, but just following the growth of the number of rice grains throughout the story gives a good introduction to exponential growth. Questions for students and ideas for assessment are provided. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Lesson Plans
Teaching and Learning Strategies
Collection:
Illuminations
Provider:
National Council of Teachers of Mathematics
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Planning a Project

Planning a Project

Gantt charts, critical path analysis, SMART objectives and estimation skills are just ... (more)

Gantt charts, critical path analysis, SMART objectives and estimation skills are just some of the topics covered in this unit to help you understand how to plan for a project. You will gain an appreciation of the range of planning techniques available and the situations in which it is appropriate to use them. (less)

Subject:
Business
Material Type:
Activities and Labs
Readings
Syllabi
Collection:
Open University OpenLearn
Provider:
Open University
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Quantitative Research in Political Science and Public Policy, Spring 2004

Quantitative Research in Political Science and Public Policy, Spring 2004

Introduction to the application of elementary statistics to political analysis. A basic ... (more)

Introduction to the application of elementary statistics to political analysis. A basic literacy subject, teaching the student how to read and interpret the quantitative literature in various subfields of political science and public policy. Students develop elementary statistical computation skills and learn to use a statistical computing package. From the course home page: This course provides students with a rigorous introduction to Statistics for Political Science. Topics include basic mathematical tools used in social science modeling and statistics, probability theory, theory of estimation and inference, and statistical methods, especially differences of means and regression. The course is often taken by students outside of political science, especially those in business, urban studies, and various fields of public policy, such as public health. Examples draw heavily from political science, but some problems come from other areas, such as labor economics. (less)

Subject:
Social Sciences
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Ansolabehere, Stephen
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Randomized Algorithms, Fall 2002

Randomized Algorithms, Fall 2002

Studies how randomization can be used to make algorithms simpler and more ... (more)

Studies how randomization can be used to make algorithms simpler and more efficient via random sampling, random selection of witnesses, symmetry breaking, and Markov chains. Models of randomized computation. Data structures: hash tables, and skip lists. Graph algorithms: minimum spanning trees, shortest paths, and minimum cuts. Geometric algorithms: convex hulls, linear programming in fixed or arbitrary dimension. Approximate counting; parallel algorithms; online algorithms; derandomization techniques; and tools for probabilistic analysis of algorithms. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Karger, David
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Reasoning about Multiplication and Division and Place Value, Part 1

Reasoning about Multiplication and Division and Place Value, Part 1

The three tasks in this set are not examples of tasks asking ... (more)

The three tasks in this set are not examples of tasks asking students to compute using the standard algorithms for multiplication and division because most people know what those kinds of problems look like. Instead, these tasks show what kinds of reasoning and estimation strategies students need to develop in order to support their algorithmic computations. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Collection:
Illustrative Mathematics
Provider:
Institute for Mathematics and Education
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Reasoning about Multiplication and Division and Place Value, Part 2

Reasoning about Multiplication and Division and Place Value, Part 2

The three tasks (including part 1 and part 3) in this set ... (more)

The three tasks (including part 1 and part 3) in this set are not examples of tasks asking students to compute using the standard algorithms for multiplication and division because most people know what those kinds of problems look like. Instead, these tasks show what kinds of reasoning and estimation strategies students need to develop in order to support their algorithmic computations. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Collection:
Illustrative Mathematics
Provider:
Institute for Mathematics and Education
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Saturn Educator Guide

Saturn Educator Guide

This educators guide uses NASA's mission to Saturn (Cassini-Huygens) as real-world motivational ... (more)

This educators guide uses NASA's mission to Saturn (Cassini-Huygens) as real-world motivational context for learning fundamental, standards-based concepts in science. It includes six constructivist lessons, an FAQ, and a variety of connections to art, literature, and mythology. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Lesson Plans
Teaching and Learning Strategies
Collection:
Space Science Institute
Provider:
Space Science Institute
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Semiconductor Manufacturing, Spring 2003

Semiconductor Manufacturing, Spring 2003

6.780 covers statistical modeling and the control of semiconductor fabrication processes and ... (more)

6.780 covers statistical modeling and the control of semiconductor fabrication processes and plants. Topics include design of experiments, response surface modeling, and process optimization; defect and parametric yield modeling; process/device/circuit yield optimization; monitoring, diagnosis, and feedback control of equipment and processes; analysis and scheduling of semiconductor manufacturing operations. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Boning, Duane
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Shopping Mall Math

Shopping Mall Math

Students participate in activities in which they develop number sense in and ... (more)

Students participate in activities in which they develop number sense in and around the shopping mall. Two sets of activities, one developed for younger middle-grade students and one for older, deal with size and space, estimation, measurement, and applications involving percent. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Lesson Plans
Teaching and Learning Strategies
Collection:
Illuminations
Provider:
National Council of Teachers of Mathematics
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Shower Estimation

Shower Estimation

In this adapted ZOOM video segment, cast members calculate how much water ... (more)

In this adapted ZOOM video segment, cast members calculate how much water they each use during a typical shower. They compare their results to their original predictions. ***Access to Teacher's Domain content now requires free login to PBS Learning Media. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Collection:
Teachers' Domain
Provider:
PBS Learning Media
Author:
WGBH Educational Foundation
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The Size and Distance of the Planets

The Size and Distance of the Planets

In this activity, learners investigate the concepts of relative size and distance ... (more)

In this activity, learners investigate the concepts of relative size and distance by creating a basic model of the solar system. Learners will work at one end of a hallway, large room or outdoor space. Learners will predict the distance of each planet from the Sun and then use toilet paper to measure the actual distances. This activity will help learners comprehend the immense scale of the solar system. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Collection:
SMILE Pathway
Provider:
U.C. Berkeley
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Slow Bicycle Race

Slow Bicycle Race

Experiments at Jefferson Lab will take weeks to months to complete. During ... (more)

Experiments at Jefferson Lab will take weeks to months to complete. During this time scientists will collect millions of pieces of data. Once the scientists have the data, they begin to analyze the data using computers, looking for evidence to support or disprove their theories. To simulate the scientific data collection process, students will create the necessary data to calculate speed. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Activities and Labs
Collection:
Jefferson Lab
Provider:
Jefferson Lab
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Special Snack

Special Snack

In this activity, learners will plan a snack within a budget. With ... (more)

In this activity, learners will plan a snack within a budget. With a $20 limit (theoretical) to spend on snack for everyone, learners look over grocery store circulars and make their shopping lists. As a group, they compare shopping lists and choose one. Does the shopping list with the healthiest foods get chosen or the one with the most food? Make sure to plan a time to actually make the purchases, if possible, to make this activity more realistic. Variations include planning a äóěwish listäó with catalogs and a spending limit such as $500 or $1,000. Available as a web page and downloadable pdf. (less)

Subject:
Mathematics and Statistics
Social Sciences
Material Type:
Activities and Labs
Collection:
Mixing in Math
Provider:
TERC
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