- 98 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Lesson Menu' - dolan-blanchard

**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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

Lesson Menu

Main Idea and New Vocabulary

NGSSS

Example 1: Use a Table to Analyze a Sequence

Example 2: Use a Table to Analyze a Sequence

Example 3: Real-World Example: Use a Table to Analyze a Sequence

Example 4: Real-World Example: Use a Table to Analyze a Sequence

Five-Minute Check

- sequence

- term
- arithmetic sequence
- common difference

MA.8.A.1.1Create and interpret tables,graphs,and models to represent, analyze, and solve problems related to linear equations,including analysis of domain, range and the difference between discrete and continuous data.

MA.8.A.1.5Translate among verbal, tabular,graphicaland algebraic representations of linear functions.

NGSSSUse a Table to Analyze a Sequence

Use a table to write an expression that can be used to find the nth term of the sequence 6, 12,18, 24, …. Then use the expression to find the next three terms.

Make a table to analyze the pattern.

The terms have a common difference of 6. Also, each term is 6 times its term number.

Example 1Use a Table to Analyze a Sequence

An expression that can be used to find the nth term is 6n.

The next three terms are 6(5) or 30, 6(6) or 36, and 6(7) or 42.

Answer: 6n; 30, 36, 42

Example 1Use a table to write an expression that can be used to find the nth term of the sequence 8, 16, 24, 32, …. Then use the expression to find the next three terms.

A. 4n; 36, 40, 44

B. 6n; 36, 42, 48

C. 8n; 40, 48, 56

D. 12n; 36, 48, 60

Example 1 CYPUse a Table to Analyze a Sequence the

Use a table to write an expression that can be used to find the nth term of the sequence 3, 7, 11, 15, …. Then use the expression to find the next three terms.

The terms have a common difference of 4. Start with 4n. Then subtract 1 to get the term. So, the expression to find the nth term is 4n – 1.

Example 2Use a Table to Analyze a Sequence the

The next three terms are 4(5) – 1 or 19, 4(6) – 1 or 23, and 4(7) – 1 or 27.

Answer: 4n – 1; 19, 23, 27

Example 2Use a table to write an expression that can be used to find the nth term of the sequence 7, 10, 13, 16, …. Then use the expression to find the next three terms.

A. 3n + 4; 19, 22, 25

B. 3n – 4; 11, 14, 17

C. 4n + 3; 23, 27, 31

D. 4n – 3; 17, 21, 25

Example 2 CYPUse a Table to Analyze a Sequence the

TRANSPORTATION The table shows the cost of a taxi ride for 1, 2, 3, and 4 miles. Write an expression that can be used to find the total cost for m miles.

Example 3Use a Table to Analyze a Sequence the

The common difference between the costs is 1.75. Start with 1.75m. Then add $3.50 to get the total cost.

Answer: The expression is 1.75m + 3.50.

Example 3JET SKIS the The table shows the cost for renting a water jet ski for 1, 2, 3, and 4 hours. Write an expression that can be used to find the total cost for h hours.

A. 14.50h + 25

B. 19.50h + 20

C. 20h + 19.50

D. 25h + 14.50

Example 3 CYPUse a Table to Analyze a Sequence the

TRANSPORTATION The table shows the cost of a taxi ride for 1, 2, 3, and 4 miles. What would be the cost of a 9-mile ride?

Example 4Use a Table to Analyze a Sequence the

Evaluate the expression when m = 9.

1.75m + 3.50 = 1.75(9) + 3.50 Replace m with 9.

= 15.75 + 3.50 Multiply 1.75 and 9.

= 19.25 Simplify.

Answer: It will cost $19.25 for a 9-mile ride.

Example 4JET SKIS the The table shows the cost for renting a water jet ski for 1, 2, 3, and 4 hours. What would be the cost to rent a jet ski for 6 hours?

A. $112

B. $137.50

C. $139.50

D. $164.50

Example 4 CYPWrite an expression that can be used to find the the nthterm of the sequence. Then use the expression to find the next three terms.

A.n + 2; 13, 15, 17

B.2n + 1; 11, 13, 15

C.2n + 3; 13, 15, 17

D.2n + 3; 14, 17, 20

Five Minute Check 1Write an expression that can be used to find the the nthterm of the sequence. Then use the expression tofind the next three terms.

A. –3n; –15, –18, –21

B.3n; –15, –18, –21

C.n – 3; –15, –18, –21

D. –3n; –36, –108, –324

Five Minute Check 2Write an expression to find the the nth term of the arithmetic sequence. Then find the indicated term.3, 8, 13, 18, …, n = 10

A.5n – 2; 43

B.5n – 2; 48

C.3n + 2; 32

D.3n – 2; 38

Five Minute Check 3Write an expression to find the the nth term of the arithmetic sequence. Then find the indicated term.2, –2, –6, –10, …, n = 22

A. –6n + 4; –128

B. –4n – 6; –94

C. –4n + 6; –82

D.n – 4; –18

Five Minute Check 4Chris earns $480 per week in a sales position. Additionally, Chris receives a bonus of $30 for each sale he makes that week. Which algebraic expression shows how much Chris will earn if he makes n sales?

A.480 + n

B.30 + 480n

C.480 – 30n

D.480 + 30n

Five Minute Check 5
Download Presentation

Connecting to Server..