# WWW Virtual School Pre-Algebra Homepage

Last Updated: 8-21-96

In Highview's Math program this year the 7th graders are either in Pre-Algebra or Pre-Algebra Challenge. The supervising teacher for this math home page is Mr. Larson.

"Mathematics is the language with which God wrote the universe." Math Rules! What follows is instruction for some of the fun things we have done in math this year. I hope you find the information on the following topics useful. We would love to hear from you if you have found anything useful or interesting. Of course we're always looking for new ideas as well.

dtavernier@isd.net

E-Mail Mr. Larson At:

jonl@mail.moundsview.k12.mn.us

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## Cool Sites

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## Metric Takeover

Like it or not, soon all of us will be talking and working with the metric system. That¹s because the country is on a timeline for conversion to the metric measurement system. All states and organizations receiving federal funds were required to have a plan and timeline for implementation in place by 1992, with full implementation to the metric system by 1996. The Metric Conversion Act of 1975, amended in the Omnibus Trade and Competitiveness Act of 1988, calls for designating the metric system of measurement the preferred system in the U.S. The Minnesota Legislature supported his by calling for the ³gradual but deliberate implementation of the metric measurement system.² Many businesses are already using metric because they would be at a competitive disadvantage internationally if they didn¹t. The U.S. and Myanmar (formerly Burma) are the only countries not using it. Do you think we should convert to the metric system? Why?

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## Goldbach's Conjecture

*Conjecture - an inferring, theorizing, or predicting from incomplete evidence Goldbach (1690 -1764) was a famous Russian mathematician who was interested in prime numbers. Goldbach¹s conjecture* was that every even number greater than 2 is the sum of two primes. No one has proven this true, but no one has proven it false! " The Conjecture will be settled, and the result accepted by the mathematics community, before 12/31/2020. "Settled" means either proven, refuted, or proven undecidable. The proof must have been available for public inspection for one year. Corrections for any major errors or omissions must have been publicly available for six months. (Inspection periods are included in the time limit.) The judge may shorten the inspection period for an independently checked numeric counterexample, or for a proof that is mechanically checked by a program of good reputation. The judge may either personally evaluate the proof, or rely on an expert or experts of hischoice, or rely on the consensus opinion of the mathematics community. Show that it is true for the even numbers 4 - 70.

## The Factor Game

Number of players: 2

Object: To score the most points. Directions: Player 1 chooses a number and gets that many points. Player 2 gets all the factors of the number Player 1 chose. The sum of the factors is Player 2¹s points. Then player 2 chooses a number and Player 1 gets the factors of it. Play continues until there are no numbers left (circle them as you go). The person with the most points wins. Today¹s directions: Play the game twice with a partner. Write your strategy for playing the factor game. In particular, write about the best number to pick first and then how to continue from there. Write about how this game relates to prime and composite numbers. Try the game on a 100-game board if you have time.

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## WS: Super Bowl Ad Costs

The following table indicates the cost of a 30-second television commercial during the Super Bowl game, from 1977 through 1991.

 Year Cost Year Cost 1977 \$125,000 1985 \$525,000 1978 \$185,000 1986 \$555,000 1979 \$180,000 1987 \$590,000 1980 \$234,000 1988 \$650,000 1981 \$275,000 1989 \$680,000 1982 \$345,000 1990 \$700,000 1983 \$400,000 1991 \$800,000 1984 \$375,000

1. Use the data to make a scatterplot. Then draw a line of best fit.

2. Use the scatterplot to estimate the cost of a 30-second commercial in 1996. \$__________________

3. Find an equation of your line. slope = ______ y-intercept = _____ y = ______ x + ______

4. Use your equation to predict the cost of a 30-second commercial in 1996. Please show your work.

5. Using the graph and your equation predict in what year the cost of a 30-second commercial will hit \$2,000,000. A. Your prediction from the graph. B. Your prediction from your equation. (Show your work) ________

6. Were your predictions in problem #5 close to each other?

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