1 / 35

Patterns and Sequences sol 6.17 by k woodard and k norman

Patterns and Sequences sol 6.17 by k woodard and k norman. Arithmetic Sequence. Add or Subtract the same number each time This is called the common difference examples 2, 4, 6, 8, … common difference is + 2 1600, 1500, 1400, 1300, … common difference is -100.

marlee
Download Presentation

Patterns and Sequences sol 6.17 by k woodard and k norman

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. Patterns and Sequencessol 6.17 by k woodardand k norman

  2. Arithmetic Sequence • Add or Subtract the same number each time This is called the common difference examples • 2, 4, 6, 8, … common difference is + 2 • 1600, 1500, 1400, 1300, … common difference is -100

  3. Arithmetic Sequences • 4, 7, 10, 13,… • Common difference: + 3 • 27, 24, 21, 18,… • Common difference: -3 • 5, 20, 35, 50,… • Common difference: + 15

  4. Arithmetic Sequences areLinear Patterns Line ar When you graph the pattern it makes a line It goes up or down gradually.

  5. Geometric Sequence • Multiply by the same number each time (although it may appear as if you are dividing) This is called the common ratio and is always represented by multiplication. examples • 1, 4, 16, 64, … common ratio is 4 • 400, 200, 100, 50, … common ratio is x 1/2 (dividing by 2 is the same as multiplying by 1/2)

  6. Geometric Sequence • 4, 8, 16, 32, 64, 128,… • Common ratio: x 2 • 2000, 1000, 500, 250, 125, 62.5,… • Common ratio: ½ • 6, 24, 96, 384, 1536, 6144,… • Common ratio: x 4

  7. Geometric Sequences areExponential Patterns ial Exponent When you graph the pattern it makes a steep curve It goes up or down fast!

  8. Make your own patterns Geometric Arithmetic • Start at 1, rule: x 2 • Start at 1000, x 1/2 • Start at 3, x 3 • Start at 390,625, x 1/5 • Start at 218,700, x 1/3 • Start at 1, x 4 • Start at 1, rule: +2 • Start at 1000, -50 • Start at 12, +6 • Start at 81, -9 • Start at 13, +5 • Start at 20, -4

  9. 08 SOL 6.17*

  10. 08 SOL 6.17*

  11. 06 SOL 6.17

  12. Powers of 10 • Ten to the 3rd power • =10 x 10 x 10 = 1000 exponent base

  13. Powers of Base 10

  14. 08 SOL

  15. 08 SOL 6.21, 6.22*

  16. Look for patterns all around you

  17. Square Numbers • Numbers that can be represented by dots in a square array. • 1st four square numbers are depicted below:

  18. Floor Tiles = 1 = 4 = 9 = 16 = 25 Perfect Square Numbers!

  19. Triangular Numbers • Numbers that can be represented by dots in a triangular array. • 1st four triangular numbers are depicted below: 1 3 6 10 +2 +3 +4

  20. http://collegian.csufresno.edu/2008/04/18/chingy-for-change-a-cause-on-pause-for-a-quick-game/http://collegian.csufresno.edu/2008/04/18/chingy-for-change-a-cause-on-pause-for-a-quick-game/ 1 , 3 , 6 , 10

  21. 07 SOl

  22. 08 SOL

  23. 06 SOL

  24. 07 SOL

  25. Fibonacci Sequence http://www.fibonacci.name/

  26. Fibonacci Sequence

  27. 1+1 =2 1+2 =3 2+3 =5 3+5 =8 5+8 =13 mat-cast.com

  28. Fibonacci Sequence

  29. Perfect Square Multiply n*n 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 The Fab 5 Arithmetic + or – the common difference 2, 4, 6, 8, 10 Triangular Add one more each time 1, 3, 6, 10 Geometric X or / the common ratio 2, 4, 8, 16, 32 1, 10, 100, 1000 Fibonacci Add the last 2 to get the next 1, 1, 2, 3, 5, 8, 13, 21, 34 worksheet

More Related