Upcoming SlideShare
×

# Int Math 2 Section 9-6 1011

392 views

Published on

Problem Solving Skills: Work Backwards

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
392
On SlideShare
0
From Embeds
0
Number of Embeds
46
Actions
Shares
0
3
0
Likes
0
Embeds 0
No embeds

No notes for slide
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• \n
• ### Int Math 2 Section 9-6 1011

1. 1. Section 9-6Problem Solving Skills: Work Backwards
2. 2. Essential Question• How do you solve real-world applications by working backward?• Where you’ll see this: • Part-time jobs, ﬁnance, travel
3. 3. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus?
4. 4. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 3rd stop: 2nd stop: 1st stop:
5. 5. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 2nd stop: 1st stop:
6. 6. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: Same as third stop 2nd stop: 1st stop:
7. 7. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 2nd stop: 1st stop:
8. 8. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 1st stop:
9. 9. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop:
10. 10. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop: 1/2 the 1st stop
11. 11. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop: 20 got on 1/2 the 1st stop
12. 12. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop: 20 got on 1/2 the 1st stop 5+5+10+20
13. 13. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop: 20 got on 1/2 the 1st stop 5+5+10+20 =40
14. 14. Example 1 After four stops, every seat in a school bus was taken. Half as many students got on at the second stop as atthe ﬁrst stop, and half as many got on at the third stop as at the second stop. At the fourth stop, ﬁve students got on, the same number as at the third stop. How many passenger seats were there on that bus? 4th stop: 5 got on 3rd stop: 5 got on Same as third stop 1/2 the 2nd stop 2nd stop: 10 got on 1st stop: 20 got on 1/2 the 1st stop 5+5+10+20 =40 seats
15. 15. Example 2Matt Mitarnowski has \$14 in his pocket now. Duringthe day, he spent \$27.45 on fez hats, \$8.62 on bubble gum, and \$6 on toys from vending machines. How much money did he start out with?
16. 16. Example 2Matt Mitarnowski has \$14 in his pocket now. Duringthe day, he spent \$27.45 on fez hats, \$8.62 on bubble gum, and \$6 on toys from vending machines. How much money did he start out with? Has \$14, spent \$27.45, \$8.62, \$6
17. 17. Example 2Matt Mitarnowski has \$14 in his pocket now. Duringthe day, he spent \$27.45 on fez hats, \$8.62 on bubble gum, and \$6 on toys from vending machines. How much money did he start out with? Has \$14, spent \$27.45, \$8.62, \$6 14+27.45+8.62+6
18. 18. Example 2Matt Mitarnowski has \$14 in his pocket now. Duringthe day, he spent \$27.45 on fez hats, \$8.62 on bubble gum, and \$6 on toys from vending machines. How much money did he start out with? Has \$14, spent \$27.45, \$8.62, \$6 14+27.45+8.62+6 =\$56.07
19. 19. Example 3 After Shecky planted 42 bubble gum trees, 32 cottoncandy bushes, and 25 graphing calculator plants in his garden, he had 185 plants in all. How many plants were in the garden before he added to them?
20. 20. Example 3 After Shecky planted 42 bubble gum trees, 32 cottoncandy bushes, and 25 graphing calculator plants in his garden, he had 185 plants in all. How many plants were in the garden before he added to them? In the end, he has 185 plants
21. 21. Example 3 After Shecky planted 42 bubble gum trees, 32 cottoncandy bushes, and 25 graphing calculator plants in his garden, he had 185 plants in all. How many plants were in the garden before he added to them? In the end, he has 185 plants He just planted 42, 32, and 25 plants
22. 22. Example 3 After Shecky planted 42 bubble gum trees, 32 cottoncandy bushes, and 25 graphing calculator plants in his garden, he had 185 plants in all. How many plants were in the garden before he added to them? In the end, he has 185 plants He just planted 42, 32, and 25 plants 185-42-32-25
23. 23. Example 3 After Shecky planted 42 bubble gum trees, 32 cottoncandy bushes, and 25 graphing calculator plants in his garden, he had 185 plants in all. How many plants were in the garden before he added to them? In the end, he has 185 plants He just planted 42, 32, and 25 plants 185-42-32-25 = 86 plants
24. 24. Problem Set
25. 25. Problem Set p. 400 #1-17“Live up to the best that is in you: Live noble lives, as you all may, in whatever condition you may ﬁnd yourselves.” - Henry W. Longfellow