1. Chapter 9 7 th Grade Math

2. Patterns and Graphs1/5 Horizontal and vertical scales Do not have to use the same interval or measurement 50 40 30 20 10 15 30 45 60 75 90 105 SECONDSSECONDS Feet Scale and Intervals

3. Should be chosen based on the given information Scale and Intervals Bacteria Growth TimeNumber of Bacteria 0505 20 10 40 15 60 20 8060 Begin drawing a graph by choosing the scale and interval

4. Remember, data pairs form points on the graph Graphing Bacteria Growth TimeNumber of Bacteria 0505 20 10 40 15 60 20 8060 Use your prepared graph to plot the data points

5. Use your graph to find other information Estimating How many bacteria would be present after 10 seconds? 30 seconds? About how long would it take to grow 16 bacteria? Bacteria growth is effected by the environment, does the graph show a time interval when the environment might have changed? If the growth rate had remained consistent, how many bacteria would be present after 80 seconds? 160 seconds?

6. Workbook Page 149 – 150 # all You Try

7. Numbers and Sequences1/11 A set of numbers that follow a pattern Four rules Arithmetic Geometric Both Neither Sequences

8. Sequence changes by adding a fixed number Arithmetic Sequence Called a common difference The common difference can be positive or negative. 2, 5, 8, 11,... 7, 7, 7, 7, 7,... 63, 54. 45. 36,... Find the common difference, rule, and next 5 terms

10. Sequence changes by multiplying a fixed number Geometric Sequence Called a common ratio Remember that ratios can be whole numbers or fractions 3, 3, 3, 3,... 3, -6, 12, -24,... 100, 50, 25, 12.5,... Find the common ratio, rule, and next 5 terms 1/10, 1/30, 1/90, 1/270,...

12. Sequence changes by multiplying a fixed number or adding a common difference Both Uncommon 0, 0, 0, 0,.... -3, -3, -3, -3,... 5, 5, 5, 5,... Find the rule and next 5 terms 1/2, 1/2, 1/2, 1/2,...

13. Sequence does not have a common difference or ratio Neither Have to be creative to find a pattern 1, 1, 2, 3, 5, 8, 13, 21,... 5, 6, 8, 11, 15,... 3, 6, 18, 62,... Find the rule and next 5 terms 10, 100, 10000, 100000000,...

15. You Try Workbook Page 151-152

16. Patterns and Tables1/12 A representation of a number pattern The pattern can be used to make or complete a table Tables Number of puppies 1359 Number of paws 412 2036

17. Rules can be written out with words or expressed as a variable expression Writing rules Number of puppies times 4 paws 4p Find how many paws 12 puppies have 100 puppies A million puppies

18. Write the rule as a variable expression Find s and t Find the 100 th term N2s612 P143542t

19. You Try Workbook Page 153-154