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Fractions: Intro
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Explore fractions while you help yourself to 1/3 of a chocolate cake ...

Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!

Subject:
Technology
Education
Mathematics
Numbers and Operations
Mathematics and Statistics
Physics
Material Type:
Activities and Labs
Instructional Material
Interactive
Simulations
Teaching and Learning Strategies
Provider:
Maryland Public Television
University of Colorado Boulder
Provider Set:
Mathlanding: Elementary Mathematics Pathway
PhET Interactive Simulations
Author:
Ariel Paul
Kathy Perkins
Mike Dubson
PhET Interactive Simulations
Sam Reid
Trish Loeblein
Give an Inch, Take a Foot
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Students practice measuring techniques by measuring different objects and distances around the ...

Students practice measuring techniques by measuring different objects and distances around the classroom. They practice using different scales of measurement in metric units and estimation. Also, students learn how measurement is used in engineering and why accuracy is important to the design of new products.

Subject:
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
TeachEngineering
Provider Set:
TeachEngineering NGSS Aligned Resources
Author:
Integrated Teaching and Learning Program,
Janet Yowell
Lesley Herrmann
Malinda Schaefer Zarske
Grocery Store Technology
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Students will identify how technology has changed in an occupation over time. ...

Students will identify how technology has changed in an occupation over time. This is also an introductory rounding/estimation lesson using addition of money.

Subject:
Mathematics and Statistics
Material Type:
Lesson Plans
Provider:
University of North Carolina at Chapel Hill School of Education
Provider Set:
LEARN NC Lesson Plans
Author:
Barbara Crouch
How Big Were the Dinosaurs?
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In this activity (located on page 4 of PDF), learners gain insight ...

In this activity (located on page 4 of PDF), learners gain insight into the actual size of dinosaurs and practice making estimations and measurements. Learners measure the lengths of various dinosaurs by measuring lengths of string in field or gym. Learners also estimate and measure these lengths by lying head to foot. Learners also compare and contrast the sizes of different dinosaur species.

Subject:
Education
Life Science
Mathematics
Geoscience
Science and Technology
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Chicago Children's Museum
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Chicago Children's Museum
How High Can a Super Ball Bounce?
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Students determine the coefficient of restitution (or the elasticity) for super balls. ...

Students determine the coefficient of restitution (or the elasticity) for super balls. Working in pairs, they drop balls from a meter height and determine how high they bounce. They measure, record and repeat the process to gather data to calculate average bounce heights and coefficients of elasticity. Then they extrapolate to determine the height the ball would bounce if dropped from much higher heights.

Subject:
Education
Material Type:
Activities and Labs
Instructional Material
Provider:
TeachEngineering
Provider Set:
TeachEngineering NGSS Aligned Resources
Author:
Mark Moldwin (now at University of Michigan, Atmospheric, Oceanic and Space Sciences) (This activity was classroom tested in second grade classes at El Rincon Elementary and Linwood E. Howe Elementary School within the Culver City Unified School District in California with additional support from a NSF Geosciences Education grant.)
Science and Engineering of the Environment of Los Angeles (SEE-LA) GK-12 Program,
How Many Pennies?
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In this math activity, learners pretend there is a special store that ...

In this math activity, learners pretend there is a special store that lets you pay for toys by their weight in pennies. Learners estimate how much toys would weigh in pennies and then use a scale to calculate the prices. This activity guide contains a material list, sample questions to ask, literary connections, extensions, and alignment to local and national standards. <br> <br> Note: If you don't have a balance scale, you can build your own by taping a paper cup to each end of a clothes hanger.

Subject:
Technology
Education
Mathematics
Chemistry
Physics
Social Sciences
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
How to Estimate the Value of Pi
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This lesson is about the estimation of the value of Pi. Based ...

This lesson is about the estimation of the value of Pi. Based on previous knowledge, the students try to estimate Pi value using different methods, such as: direct physical measurements; a geometric probability model; and computer technology. This lesson is designed to stimulate the learning interests of students, to enrich their experience of solving practical problems, and to develop their critical thinking ability. To understand this lesson, students should have some mathematic knowledge about circles, coordinate systems, and geometric probability. They may also need to know something about Excel. To estimate Pi value by direct physical measurements, the students can use any round or cylindrical shaped objects around them, such as round cups or water bottles. When estimating Pi value by a geometric probability model, a dartboard and darts should be prepared before the class. You can also use other games to substitute the dart throwing game. For example, you can throw marbles to the target drawn on the floor. This lesson is about 45-50 minutes. If the students know little about Excel, the teacher may need one more lesson to explain and demonstrate how to use the computer to estimate Pi value. Downloadable from the website is a video demonstration about how to use Excel for estimating Pi.

Subject:
Mathematics
Material Type:
Activities and Labs
Games
Instructional Material
Video Lectures
Provider:
M.I.T.
Provider Set:
M.I.T. Blossoms
Author:
Renyong Feng
Identification, Estimation, and Learning, Spring 2006
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This course provides a broad theoretical basis for system identification, estimation, and ...

This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation.

Subject:
Engineering
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Asada, Harry
In Proportion
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Through this nutrition activity (page 5 of the PDF), learners will understandäóîand ...

Through this nutrition activity (page 5 of the PDF), learners will understandäóîand probably be surprised byäóîhow big serving sizes of various foods should be. This is accomplished in a very interesting way: learners will practice estimating by comparing various foods to everyday objects, like a hockey puck and a computer mouse. This activity was created as a pre-visit for a traveling science show, but makes a great stand-alone activity as well! It is an excellent visual representation for learners to remember.

Subject:
Life Science
Ecology
Forestry and Agriculture
Nutrition
Mathematics
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
COSI
Introduction to Estimation Theory
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No Strings Attached
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This module introduces estimation theory and its terminology, including bias, consistency, and ...

This module introduces estimation theory and its terminology, including bias, consistency, and efficiency. In searching for methods of extracting information from noisy observations, this chapter describes estimation theory, which has the goal of extracting from noise-corrupted observations the values of disturbance parameters (noise variance, for example), signal parameters (amplitude or propagation direction), or signal waveforms. Estimation theory assumes that the observations contain an information-bearing quantity, thereby tacitly assuming that detection-based preprocessing has been performed (in other words, do I have something in the observations worth estimating?). Conversely, detection theory often requires estimation of unknown parameters: Signal presence is assumed, parameter estimates are incorporated into the detection statistic, and consistency of observations and assumptions tested. Consequently, detection and estimation theory form a symbiotic relationship, each requiring the other to yield high-quality signal processing algorithms.

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Readings
Syllabi
Provider:
Rice University
Provider Set:
Connexions
Author:
Don Johnson
Introduction to Statistics
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Introduction to Statistics. Random Variable, Mean, Variance, Standard Deviation and Mathematical Expectation. ...

Introduction to Statistics. Random Variable, Mean, Variance, Standard Deviation and Mathematical Expectation. Discrete Distributions: Bernoulli trials and Bernoulli distribution, geometric distribution, Poisson distribution. Continuous Distributions: random variables of the continuous type, uniform distribution, exponential distribution, gamma distribution, chi-square distribution, normal distribution, t-distributions. Estimation: biased and unbiased esimators, convidence intervals for means, convidence intervals for variances, sample size, maximum error of the point estimate, Likelihood function, Maximum Likelihood Estimation (MLE), Asymptotic Distributions of Maximum Likelihood Estimators, Chebyshev's Inequality. Hypothesis: tests of statistical hypotheses, Type I error, Type II error, tests about proportions, null hypothesis, alternative hypothesis, significance level of the test, probability value, tail-end probability, standard error of the mean, tests about one mean and one variance, test of the equality of two independent normal distributions, best critical region, Neyman-Pearson Lemma, most powerful test, uniformly most powerful critical region, Likelihood Ratio tests, critical region for the likelihood ratio test. Pseudo-Numbers: uniform pseudo-random variable generation, congruential generators, shift-register generators, Fibonacci generators, Combinations of Generators (Shuffling). The Inverse Probability Method for Generating Random Variables. The Logistic Distribution.

Subject:
Ratios and Proportions
Statistics and Probability
Mathematics and Statistics
Material Type:
Full Course
Readings
Syllabi
Provider:
Rice University
Provider Set:
Connexions
Author:
Ewa Wosik
Investigating the Dynamic Martian Polar Caps
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In this activity, students download NASA Hubble Space Telescope (HST) images of ...

In this activity, students download NASA Hubble Space Telescope (HST) images of the Martian polar ice caps in summer and winter. Using image processing techniques, students measure and compare various images of the changing Martian and Earth polar ice caps.

Subject:
Algebra
Functions
Mathematics and Statistics
Science and Technology
Material Type:
Activities and Labs
Assessments
Lesson Plans
Provider:
Montana State University
NASA
Provider Set:
NASA/MSU Center for Educational Resources (CERES)
It Takes Ten
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In this math lesson, learners practice estimation and measurement skills as they ...

In this math lesson, learners practice estimation and measurement skills as they move from station to station calculating length, volume, weight, and area. At each station, learners first estimate, measure, and then compute the difference between their estimation and the actual measurement. They estimate and measure marbles to the nearest gram and squeeze water-saturated sponges to practice measuring in millimeters. Learners practice linear measurement estimation skills by throwing cotton balls and rolling toy cars. Learners determine if they are a square or a rectangle by measuring and comparing arm span and height. Finally, each learner determines the area of his/her foot by counting and computing the area by constructing a rectangle to approximate the area.

Subject:
Technology
Education
Life Science
Mathematics
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Lecture Notes
Lesson Plans
Provider:
NSDL Staff
Science and Math Informal Learning Educators (SMILE)
Provider Set:
NSDL Math Common Core
SMILE Pathway: Science and Math Activities in One Search
Author:
PBS
US Department of Education
Jars of Stars
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This math activity uses stars, jars, and scoops to help learners build ...

This math activity uses stars, jars, and scoops to help learners build their estimation and volume skills. As you play, estimate how many scoops of stars it will take to fill a variety of jars. This activity helps learners estimate, predict, reason, strategize, measure volumes, multiply, divide and practice fractions. The activity guide contains a material list, sample questions to ask, literary connections, extensions, and alignment to local and national standards.

Subject:
Engineering
Technology
Education
Mathematics
Geometry
Chemistry
Physics
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
Jump Like a Frog
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In this math activity, learners jump and measure how far they can ...

In this math activity, learners jump and measure how far they can jump on different surfaces using different jumping techniques. Learners practice collecting and analyzing data as well as using measuring tools. This activity guide contains a material list, sample questions to ask, literary connections, extensions, and alignment to local and national standards.

Subject:
Education
Mathematics
Material Type:
Activities and Labs
Instructional Material
Lesson Plans
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
Just a Minute
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How much can you do in one minute? In this activity, learners ...

How much can you do in one minute? In this activity, learners estimate how many times a partner can complete a task (like writing their name or jumping jacks) in one minute. This activity provides learners with the opportunity to think about segmented time and to practice their estimation and counting skills.

Subject:
Education
Mathematics
Physics
Material Type:
Activities and Labs
Instructional Material
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
Make a Model Home Made From Shipping Containers
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Watch an interview with a couple who built a home from shipping ...

Watch an interview with a couple who built a home from shipping containers. Then, design and construct a scale model of a unique shipping container home using printed templates, and estimate the cost of flooring and paint based on model dimensions.

Subject:
Architecture and Design
Engineering
Technology
Manufacturing
Education
Ecology
Forestry and Agriculture
Mathematics
Algebra
Functions
Geometry
Mathematics and Statistics
Chemistry
Geoscience
Physics
Science and Technology
Social Sciences
Material Type:
Activities and Labs
Case Study
Data
Instructional Material
Lecture Notes
Lesson Plans
Video Lectures
Provider:
Science and Math Informal Learning Educators (SMILE)
Science Friday
Science Friday Initiative
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Science Friday
Author:
Ariel Zych
Science Friday
Science Friday Education
Mass of Maize
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Students will weigh different products made from corn to determine if a ...

Students will weigh different products made from corn to determine if a cup of each product has the same mass. Students will use measurement and estimation skills.

Subject:
Mathematics and Statistics
Material Type:
Lesson Plans
Provider:
University of North Carolina at Chapel Hill School of Education
Provider Set:
LEARN NC Lesson Plans
Author:
Julie Franklin
Math, Grade 6, Unit 8
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Distributions and Variability Type of Unit: Project Prior Knowledge Students should be ...

Distributions and Variability

Type of Unit: Project

Prior Knowledge

Students should be able to:

Represent and interpret data using a line plot.
Understand other visual representations of data.

Lesson Flow

Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.

Students learn different tools for analyzing data, including:

Measures of center: mean (average), median, mode
Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
Visual representations: line plot, box plot, histogram

These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.

To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.

Subject:
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
Statistics and Probability
Material Type:
Unit of Study