1. 1/13/2016 Mathematical Modeling Various ways to represent the same mathematical expression or situation

2. 1/13/2016 Compare to Vocabulary 1 Cést Domage = that’s too bad cierra la boca por favor = close your mouth please a lot = plethora = myriad = surfeit

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. AdditionSubtractionMultiplicationDivision PlusMinusTimesDivided by The sum ofThe difference of The product ofThe quotient of Increased byDecreased byMultiplied byPer TotalFewer thanof Is more thanIs less than Added toSubtracted from

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

6. Keep Going 4 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 now 4 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 5 1st Qtr2nd Qtr3rd Qtr4th Qtr East20.427.49020.4 West30.638.634.631.6 North45.946.94543.9

9. 6 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

10. 7 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 = $

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. How many tenths of a mile do we have? 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 9 10N = tenths of a mile

13. How many additional 1/10 of miles do we have? 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) --> We were charged 4.95 for the very first 1/10 of a mile. 10

14. .95 for each additional 1/10 of a mile A taxi charges 4.95 for the first 1/10 of a mile and.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