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CONTENTS:

Video Game University
It's All Up in the Air
Flying Carpets on Wheels
What's the Password?
Saw Me a Tune
Guess What?

Classroom Activities:
Juggling 101
Roller Coaster Physics
Enciphering for Fun
The Math of Music
Delicious Estimating

Go Figure Home

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Go Figure was produced in partnership with MATHCOUNTS, the national math coaching and competition program that promotes seventh-and eighth-grade mathematics achievement. The video, which demonstrates how math is at work everywhere outside the classroom, was distributed to an estimated 6,900 schools participating in the MATHCOUNTS program.

 

Estimation is fundamental to determining the population of the nation during each census.

Estimation is fundamental to determining the population of the nation during each census.

 

The fast food business uses estimation everyday to match customer demands.

The fast food business uses estimation everyday to match customer demands.


Go Figure

Teaching Guide

This teaching guide is designed to complement the 20-minute video, Go FigureClick here to request the video.  Please note that video supplies are limited and may no longer be available.

Guess What?
Learn from the Estimation Pros

In everyday life, estimations have to be made in countless situations. Is there time for a soft drink before the next class? Can I stop for a sandwich and still make it to the movie on time? If I watch TV tonight, is there time to do that math assignment in the morning? The Go Figure video mentions a more complex use of estimating -- determining the population of our nation.

Census Sense
Estimation is used in some businesses, such as the fast food industry, because the number being sought will not be known until after the fact. However, in other areas, estimation is used because the number being sought is either too large to count or immeasurable for some reason. That's why sampling is often used in census taking.

In the United States, for example, it would be impossible to go door to door and count every person. The U.S. Census Bureau now sends census questionnaires to every household in the country. If every household returned the form, the census would be complete. Yet, many choose not to participate. Therefore, the Census Bureau must account for those who do not return the forms by making estimations.

After a flurry of controversy over accuracy of the 1990 population count, the Census Bureau is vowing to make Census 2000 the most accurate in history. To accomplish this, citizens will be given multiple opportunities to respond, including an initial mailing, a reminder card, forms available at public locations, and a toll-free telephone number. The Census Bureau also is planning an advertising campaign, and census organizers will contact state, local and tribal governments for help in boosting participation.

The sampling plan requires direct contact with 90 percent of all housing units. An accurate listing of all addresses in every census tract will be key in determining if 90 percent has responded. A random sample of housing will then be selected that will represent the number and characteristics of those who did not respond.

An accurate census is important since population figures determine the number of governmental representatives an area will have.

Who's Watching What?
Estimation also is often used to count how many people are doing what. How else could it be determined how many people watched the last episode of "Seinfeld?" Going door to door asking, "What TV programs did you watch last night?" would be costly and time-consuming. Thus, TV ratings are reached by estimation.

One method used to collect viewing data is the diary. Sample families across the country are asked to keep diaries detailing which TV programs they watch. At the end of the week, the diaries are mailed to a rating company where they are calculated and compared. The resulting numbers determine the placement of billions of dollars in TV advertising each year, proof that estimating plays a critical role in the success of some businesses.

Estimation gives insight into numbers that normally would not be accessible, and many numbers we depend on every day, from unemployment rates to the current price of gasoline, are derived from estimations.

Grocery Shopping
A routine trip to the grocery store, for example, definitely can illustrate the value of estimating. Which groceries must be bought now, and which ones can be purchased later? Let's see; the milk jug is empty, only a few crumbs linger in the cereal box, and the grapes have turned to raisins. Two slices of bread remain; unfortunately, both have turned green. The ketchup bottle has been flip-flopped, pounded, and shaken until not an ounce is left. Also there are no eggs, butter, soda, and paprika. All these to buy and only X dollars to spend.

Actually, the checkbook is still at home next to the forgotten grocery list. An ATM card and a vague memory of the checking balance will have to suffice. This calls for some major estimating.

Grocery shopping, whether for one person or a large family, can be a real task, but just imagine the estimation skills it takes to feed hundreds of people and keep plenty of food on hand. That's what managers of fast food restaurants across the country have to do on a daily basis.

For most restaurants, a delivery truck runs two to three times per week. Managers must order enough food to last until the next delivery. At the same time, over-ordering creates problems because the food can spoil before it is used.

Predicting by the Past
This is a difficult balancing act in an industry where sales vary depending on a variety of factors including the weather, day of the week and competitors. Therefore, in the fast food industry, the future is predicted by looking at the past.

Restaurant managers often use sales projections based on data from previous years' sales in a particular month. However, a store's overall sales may have increased or decreased since last year, so managers also must look at sales for last month and last week.

How Many Burgers?
Having enough food in stock is only half the battle. Restaurant managers also must decide how much food to prepare throughout the day. Obviously, more food is required for lunch and dinner rushes than at any other time. For this reason, most restaurants keep a record of hourly sales for every day of the week. Managers can analyze a particular hour's sales for the past several weeks and get an average. They then use preestablished formulas to decide how much food needs to be prepared for that hour.

Sources
United States Census 2000. U.S. Census Bureau. 11 August 1998. Online. Netscape.

Video Game U. | Up in the Air | Flying Carpets | What's the Password?
Saw Me a Tune | Guess What? | Classroom Activities

 

Last Updated: 02/16/03
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