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Splash Screen. Five-Minute Check (over Lesson 6–5) Main Idea and Vocabulary Example 1: Describe Sequences Example 2: Describe Sequences Example 3: Make a Table Example 4: Write an Expression. Lesson Menu. Extend and describe arithmetic sequences using algebraic expressions. sequence.

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 6–5) Main Idea and Vocabulary Example 1: Describe Sequences Example 2: Describe Sequences Example 3: Make a Table Example 4: Write an Expression Lesson Menu

  3. Extend and describe arithmetic sequences using algebraic expressions. • sequence • term • arithmetic sequence Main Idea/Vocabulary

  4. Describe Sequences Use words and symbols to describe the value of each term as a function of its position. Then find the value of the tenth term in the sequence. Notice that the value of each term is 7 times its position number. So the value of the term in position n is 7n. Example 1

  5. Describe Sequences Now find the value of the tenth term. 7n = 7 ● 10 Replace n with 10. = 70 Multiply. Answer: The value of the tenth term in the sequence is 70. Example 1

  6. A B C D Find the value of the tenth term in the sequence. A. 19 B. 45 C. 81 D. 90 Example 1

  7. Describe Sequences Use words and symbols to describe the value of each term as a function of its position. Then find the value of the tenth term in the sequence. The value of each term is 2 more than its position number. So the value of the term in position n is n + 2. Example 2

  8. Describe Sequences Now find the value of the tenth term. n + 2 = 10 + 2 Replace n with 10. = 12 Add. Answer: The value of the tenth term in the sequence is 12. Example 2

  9. A B C D Find the value of the tenth term in the sequence. A. 12 B. 15 C. 25 D. 50 Example 2

  10. Make a Table TIMEThere are 60 seconds in 1 minute. It takes Shaila 9 minutes to walk to school. Find how many seconds it takes Shaila to walk to school. Make a table and write an algebraic expression relating the number of seconds to the number of minutes. Then find how many seconds it takes Shaila to walk to school if it takes her 9 minutes. Notice that the number of minutes times 60 gives the number of seconds. So, to find how long it takes Shaila to walk to school, use the expression 60n. Example 3

  11. Make a Table 60n = 60 ● 9 Replace n with 9. = 540 Multiply. Answer: So, it takes Shaila 540 seconds to walk to school. Example 3

  12. A B C D TIMEThere are 24 hours in 1 day. Find how many hours Hayden has to finish his science project if he has exactly 6 days. A. 18 hours B. 30 hours C. 96 hours D. 144 hours Example 3

  13. Write an Expression The table shows the number of plants in a garden, based on the number of rows. Which expression was used to find the number of plants in n rows? A.n + 3 B.n − 3 C. 3n D. 3n + 1 Read the Item To find the expression, determine the function. Example 4

  14. Write an Expression Solve the Item Notice that the values 4, 7, 10, 13, … increase by 3, so the rule contains 3n. Therefore choices A and B can be eliminated. If the rule were simply 3n, then the value for position 1 would be 3 × 1 or 3. But this value is 4. So, choice C can be eliminated. This leaves choice D. Test a few values. Row 1: 3n + 1 = 3(1) + 1 = 3 + 1 or 4 Row 3: 3n + 1 = 3(3) + 1 = 9 + 1 or 10 Answer: So, the answer is D. Example 4

  15. A B C D The table shows the number of students allowed to go on a field trip, based on the number of adults accompanying them. Which expression was used to find the number of students for n adults? A.n – 1 B. 5n – 1 C.n + 5 D. 5n Example 4

  16. End of the Lesson End of the Lesson

  17. Five-Minute Check (over Lesson 6–5) Image Bank Math Tools Ratios and Tangrams Ratios Resources

  18. A B C D (over Lesson 6-5) Use the look for a pattern strategy to solve. NUMBER SENSE Describe the pattern below. Then find the missing number. 800,000, 80,000, , 800, 80 A.Divide by 10; 8,000 B.Divide by 100; 8,000 C.Multiply by 10; 8,000 D.Multiply by 100; 8,000 Five Minute Check 1

  19. A B C D A. B. C.D. (over Lesson 6-5) Use the look for a pattern strategy to solve. GEOMETRY Draw the next figure in the pattern below. Five Minute Check 2

  20. A B C D (over Lesson 6-5) Tours at a historic museum start every 30 minutes. The first tour of the day is at 10:45 A.M. If Tyler's family arrives at the museum at 12:30 P.M., what time is the first tour they will be able to take? A. 12:30 P.M. B. 12:45 P.M. C. 1:00 P.M. D. 1:15 P.M. Five Minute Check 3

  21. End of Custom Shows

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