1. 7 th Grade Learning Target – Today I will analyze trends in scatter plots Bellringer Lesson Homework – Handout

2. Scatter Plot  A scatter plot is a graph of a collection of ordered pairs (x,y).  The graph looks like a bunch of dots, but some of the graphs are a general shape or move in a general direction.

3. Positive Correlation  If the x-coordinates and the y-coordinates both increase, then it is POSITIVE CORRELATION.  This means that both are going up, and they are related.

4. Positive Correlation  If you look at the age of a child and the child’s height, you will find that as the child gets older, the child gets taller. Because both are going up, it is positive correlation. Age12345678 Height (in) 2531343640414755

5. Negative Correlation  If the x-coordinates and the y- coordinates have one increasing and one decreasing, then it is NEGATIVE CORRELATION.  This means that 1 is going up and 1 is going down, making a downhill graph. This means the two are related as opposites.

6. Negative Correlation  If you look at the age of your family’s car and its value, you will find as the car gets older, the car is worth less. This is negative correlation. Age of car 1 year2 years3 years4 years5 years Value$30,000$27,000$23,500$18,700$15,350

7. No Correlation  If there seems to be no pattern, and the points looked scattered, then it is no correlation.  This means the two are not related.

8. No Correlation  If you look at the size shoe a baseball player wears, and their batting average, you will find that the shoe size does not make the player better or worse, then are not related.

9. Scatterplots Which scatterplots below show a linear trend? a) c)e) b) d) Negative Correlation Positive Correlation

10. Plot the data on the graph such that homework time is on the y-axis and TV time is on the x-axis. TVHomework 30 min. 45 min. 120 min. 240 min. 90 min. 150 min. 180 min. 150 min. 90 min. 30 min. 120 min. 90 min. Time Watching TV Time on Homework 30 90 150 210 60 120 180 240 240 210 180 150 120 90 60 30

11. Describe the relationship between time spent on homework and time spent watching TV. Time Watching TV Time on Homework 30 90 150 210 60 120 180 240 240 210 180 150 120 90 60 30 Trend is decreasing. Trend appears linear. Negative correlation.

12. 8-1 & 8-3 Learning Target – Today I will analyze the logic behind Venn diagrams Bellringer Lesson Homework – Study for 12 properties test

13. AB Intersection: Members of both set A and set B

14. AB Union: Members of set A or set B or both

15. Complementary: Members not in the set A A’

16. Universal Set: All members U

17. AB U

18. AB U

19. AB U

20. AB U

21. U = {Natural Numbers less than 16} Describe set A and set B A = {Even Numbers} B = {Prime Numbers} AB 4 10 14 6 12 8 2 13 5 7 3 11 1 15 9 U

22. U 28 20 14 16 26 12 18 24 30 10 25 15 21 27 13 19 11 29 17 Describe Sets U, A, B and C U = {10,11,12,13,14,........29,30} A = {Even Numbers} B = {Multiples of 3} C = {Multiples of 5} C BA 22 23

23. 8-2 Learning Target – Today I will represent relations and interpret mapping of ordered pairs Bellringer Lesson Homework – pg. 41 #s 9-14, 17-18 *NO GRAPH NEEDED

24. Domain and range  Domain  The set of the x-coordinates (2,3) (3,5) (4,1) (5,6) The domain is (2,3,4,5)  Range  The set of y-coordinates (2,3) (3,5) (4,1) (5,6) The range is (3,5,1,6)

25. Mapping of ordered pairs  (1,2) (4,5) (4,-5) (2,0)