1 / 17

Mathematical Modeling

Mathematical Modeling . Various ways to represent the same mathematical expression or situation. Compare to Vocabulary. Cést Domage = that’s too bad cierra la boca por favor = close your mouth please a lot = plethora = myriad = surfeit. 1.

soyala
Télécharger la présentation

Mathematical Modeling

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mathematical Modeling Various ways to represent the same mathematical expression or situation

  2. Compare to Vocabulary Cést Domage = that’s too bad cierra la boca por favor = close your mouth please a lot = plethora = myriad = surfeit 1

  3. Now let’s look at math terms – copy these in your notebook, please. • plus + • Is less than < • Is greater than > • two times a number 2A • The next 2 are “switcheroos” – they go at the end of the expression • less than - 7 less than 12 12-7 • more than + 4 more than 5 5+4

  4. More terms - copy these also, por favor.

  5. Take it one step at a time • 4 more than 3 times a number • 4 more than --> +4 2

  6. Keep Going4 more than 3 times a number • 4 more than +4 • 3 times a number • let A represent “a number” • 3A 3

  7. Put it all together now4 more than 3 times a number • 4 more than +4 • 3 times a number 3A • new model • 3A +4 • 4+3A this would give you the correct math answer but would NOT be written correctly. Remember more than is a switcheroo! 4

  8. Multiple ways to graph the same information 1st Qtr 2nd Qtr 3rd Qtr 4th Qtr East 20.4 27.4 90 20.4 West 30.6 38.6 34.6 31.6 North 45.9 46.9 45 43.9 5

  9. Change a word problem to a math expression A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile. Write a math expression to indicate a taxi trip of “n”miles 6

  10. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile. Follow the steps. a taxi trip of “n”miles = $ 7

  11. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile, First 1/10 of a mile = 4.95 4.95 + 8

  12. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile. .95 for each additional 1/10 of a mile How many tenths of a mile do we have? 10N = tenths of a mile 9

  13. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile. .95 for each additional 1/10 of a mile How many additional 1/10 of miles do we have? (10n-1) --> We were charged 4.95 for the very first 1/10 of a mile. 10

  14. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile .95 for each additional 1/10 of a mile (10n-1) .95 # of tenths of a mile times .95 11

  15. A taxi charges 4.95 for the first 1/10 of a mile and .95 for each additional 1/10 of a mile. Put it all together now. $ = 4.95 + (10n-1).95 or cost for n miles = $4.95 + .95(10n-1) 12

  16. -3 -2 -1 0 1 2 3 X < 2 13

  17. Mathematical Modeling Various ways to represent the same mathematical expression or situation 15

More Related