Students will solve real world and mathematical problem situations using simple algebraic concepts including variables and open sentences.
Students compare real-time Earth and Mars measurements for temperature, wind speed, humidity and atmospheric pressure by accessing Internet-data resources from NASA.
Introduces statistical data analysis, concentrating on techniques used in management science and finance. Topics chosen from: statistical graphics, basics of sampling, estimation, hypothesis testing, linear and logistic regression, analysis of variance, contingency tables, forecasting, statistical quality control, principal components, and factor analysis. SAS or similar package used for data analysis. This course is an introduction to applied statistics and data analysis. Topics include collecting and exploring data, basic inference, simple and multiple linear regression, analysis of variance, nonparametric methods, and statistical computing. It is not a course in mathematical statistics, but provides a balance between statistical theory and application. Prerequisites are calculus, probability, and linear algebra. We would like to acknowledge the contributions that Prof. Roy Welsch (MIT), Prof. Gordon Kaufman (MIT), Prof. Jacqueline Telford (Johns Hopkins University), and Prof. Ramón León (University of Tennessee) have made to the course material.
A web page and interactive applet showing the ways to calculate the area of a trapezoid. The user can drag the vertices of the trapezoid and the other points change automatically to ensure it remains a trapezoid. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the trapezoid is reshaped with the mouse. A companion page is http://www.mathopenref.com/trapezoid.html showing the definition and properties of a trapezoid. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.
Students complete a variety of estimation and multiplication activities to plan, create and write directions for creating beaded bracelets.
This is a lesson which allows students to explore with estimation in cooperative learning groups.
In this Cyberchase video segment, the CyberSquad must estimate the measurements of Spout the Whale in order to find a cage that will fit him.
16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.
This course develops students' competence and self-confidence as design engineers. Emphasis is on the creative design process bolstered by application of physical laws, and learning to complete projects on schedule and within budget. Synthesis, analysis, design robustness and manufacturability are emphasized. The subject relies on active learning via a major design-and-build project. Lecture topics include idea generation, estimation, concept selection, visual thinking and communication, kinematics of mechanisms, machine elements, design for manufacturing, basic electronics, and professional responsibilities and ethics. A required on-line evaluation is given at the beginning and the end of the course so students can assess their design knowledge.
" Welcome to 2.007! This course is a first subject in engineering design. With your help, this course will be a great learning experience exposing you to interesting material, challenging you to think deeply, and providing skills useful in professional practice. A major element of the course is design of a robot to participate in a challenge that changes from year to year. This year, the theme is cleaning up the planet as inspired by the movie Wall-E."
This lesson solves a problem that requires estimation of decimals before adding them. [Developmental Math playlist: Lesson 95 of 196]
This lesson reviews how to round to estimate differences. [Developmental Math playlist: Lesson 17 of 196]
This lesson introduces the use of rounding to estimate sums. [Developmental Math playlist: Lesson 18 of 196]
This lesson continues the review of the use of rouning to estimate sums. [Developmental Math playlist: Lesson 19 of 196]
In this experiment, students measure the area of a dime using methods similar to those used by scientists to measure the size of atoms. When working with atoms, scientists sometimes have to invent new ways of doing simple things. For instance, scientists can't use a ruler to measure the size of an atom's nucleus. This activity shows how ratios can be used to calculate the area covered by an object.
Franklin works with Laverne to create a budget for a job painting a room, in this video segment from TV 411.
In this Cyberchase video segment, the CyberSquad estimates how much air supply they will need to complete an underwater mission.
Harry estimates how long it will take him to get to the front of a long ticket line in this Cyberchase video segment.
Explore size estimation in one, two and three dimensions! Multiple levels of difficulty allow for progressive skill improvement.
Students develop their estimation skills while evaluating their television-watching habits and draw conclusions about the influence of television in their lives.
