1 / 27

ASSIGNMENT

October 20, 2005. ASSIGNMENT. Finish Region IV Worksheet Start new worksheet Agenda check tomorrow. October 20, 2005. Patterns & Sequences Region IV. TEKS 8.5(B)Use an algebraic expression to find any term in a sequence. 1.5. 6. + (-3). -7. + 4. +4. +1.5. 8. 3. -3. 0. 1. 6.0.

blair-barlow
Download Presentation

ASSIGNMENT

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. October 20, 2005 ASSIGNMENT • Finish Region IV Worksheet • Start new worksheet • Agenda check tomorrow

  2. October 20, 2005 Patterns & SequencesRegion IV TEKS 8.5(B)Use an algebraic expression to find any term in a sequence.

  3. 1.5 6 + (-3) -7 + 4 +4 +1.5 8 3 -3 0 1 6.0 5 20 7.5 -6 -9 13 28 10.5 Find Missing Numbers In A Sequence

  4. 3 3(1) + 2 3(2) + 2 3(3) + 2 3(4) + 2 3n + 2 3n + 2

  5. 1 2(1) 2(2) 2(3) 2n 2n 2 ½ (1) ½ (2) ½ (3) ½ (n)

  6. Activity 2 Terri collected 15 seashells her first day on the beach. After the first day, she found 12 shells per day. Write an algebraic expression to determine how many shells she collected on the nth day. Work in groups of two and solve. 1. • 12 shells per day = 12d • 1st day: 15 = 12d + 3 12n + 3

  7. 2. Bob’s BBQ charges $9 to deliver the first dinner to your door. Each additional dinner cost$ 7. Five dinners would cost $37. Write an algebraic expression to determine how much n dinners. • $9 to deliver the first dinner • Each dinner cost $7; 7n • 1st dinner; 7n + 2 = 9 7n + 2

  8. 3. The Anderson family paid $ 53 to have 4 pizzas delivered. 5 pizzas would cost $65 and 6 pizzas would cost $77. How much would n pizzas cost? 12n + 5

  9. 4. Ted increased the number of push-ups he did daily. On the seventh day, he did 22 push-ups. He completed 25 & 28 push-ups on the eighth and ninth day respectively.. Of he continues at this rate, how many push-ups will he be able to do on the nth day? 3n + 1

  10. 5. Katie is saving her money to buy a new bike. By the 5th week she had saved a total of $40. The 6th week her total was $45 and the next week it was $50. Write and algebraic expression to determine her total on the nth week if se continues saving at this rate. How much would she have saved on week 32 5n + 15

  11. Problem 6: Find the 30th term. A group of dieters lost a combined total of 15 pounds on the third day of a weight loss plan. Their loss on the fourth day was 19 pounds, and by the fifth day it was 23 pounds. Write an algebraic expression to predict their total poundage lost on the nth day. 4n + 3

  12. Problem 7: Find the 30th term. 2(1) + 1 2(2) + 1 2(3) + 1 2(4) + 1 2n + 1 2n + 1 2(30) + 1 61

  13. Problem 8: Find the nth 8(1) + 4 8(2) + 4 8(3) + 4 8(4) + 4 8n + 4 8n + 4 Perimeter 20 Perimeter 12 1 Perimeter 28 Figure 3 Figure 1 Figure 2

  14. Problem 9: Find the nth term. 2(1) + 6 2(2) + 6 2(3) + 6 2(4) + 6 2n + 6 2n + 6 Figure 1 Figure 2 Figure 3

  15. Activity 2 Answers • 3n + 1 • 5n + 15 • 4n + 3 • 7. 2n + 1 • 8n + 4 • 9. 2n + 6 • 12n + 3 • 7n + 2 • 12n + 5

  16. Stacy is selling candy bars to raise money for her softball team. The fourth day Stacy sold 28 candy bars. The fifth day she sold 34 candy bars. On the sixth day, Stacy sold 40 candy bars. Use an algebraic expression to determine how many candy bars Stacy will sell on the 15th day. Justify your answer. 6(15) + 4 = 90 + 4 94 Candy bars

  17. TEKS Clarifier 8.5B Find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change).

  18. Write an algebraic expression that can be used to find the value of the term in the nth position for the sequence below. 0.5(n) 0.5(1) 0.5(2) 0.5(3) 0.5(n)

  19. The expression below describes a pattern of numbers. n(n + 4) - 7 1(1 + 4 ) - 7 2(2 + 4 ) - 7 3(3 + 4 ) - 7 4(4 + 4 ) - 7 n(n + 4) - 7 n(n + 4) - 7

  20. Determine the expression that can be used to find any term in the sequence. n(n + 4) - 7 1(1 + 4 ) - 7 2(2 + 4 ) - 7 3 3(3 + 4 ) - 7 4(4 + 4 ) - 7 3 n(n + 4) - 7

  21. A local fruit stand advertised a sale on oranges with the table shown below. 0.33p C = 0.33p

  22. Josh ran a a total of 15 miles over a 4-week period of time; he rat the same number of miles each week. Write an equation that can be used to find m, the number of miles Josh ran in w weeks. Justify your answer. M = 3.75w

  23. 21 18 12 9 6 3 3 1 2 4 5 6

  24. April 2004 Here are some sample questions From the 2004 TAKS Test

  25. In the sequence, which expression can be used the find the value of the term in the nth position? 32 F n – 0.75 G H 4n J n – 1.5

  26. The expression shown below describes a pattern of numbers. 39 n(n-1) + 4 If n represents a number’s position in the sequence, which pattern of numbers does the expression describe? 1(1-1) + 4 = 4 A 4,6,8,10,12… B 1,4,6,10,16,… C 4,6,10,16,24,… D 4,10,18,28,40,… 2(2-1) + 4 = 6 3(3-1) + 4 = 10 4(4-1) + 4 = 16 5(5-1) + 4 = 24

  27. ASSIGNMENT • Finish Region IV Worksheet • Start new worksheet • Agenda check tomorrow

More Related