1. Problem Solving use a diagram SWBAT solve problems using a diagram

2. How would you go about solving this? There are 27 bowling balls for rent that are black, speckled, or both. If 12 are black and 24 are speckled, what fractional part of the bowling balls are both black and speckled?

3. Re-read List the facts 27 bowling balls 27 bowling balls 12 are black 12 are black 24 are speckled 24 are speckled What is it asking? What fraction shows how many are both black and speckled? What fraction shows how many are both black and speckled?

4. Plan How will you solve this? Make a Venn diagram Make a Venn diagram Let A represent black balls Let A represent black balls Let B represent speckled balls Let B represent speckled balls Let C represent both black and speckled Let C represent both black and speckled A CB

5. Solve Add up the numbers given Subtract them from 27 (12+24) – 27 36 – 27 9 9 3 15

6. Check 9/27 or 1/3 of the balls are both speckled and black Add up A + B + C = 27 3 + 9 + 15 = 27 27 = 27

7. As a group solve: The school paper lists the names of the 18 baseball players, 20 volleyball players, and 16 soccer players. One person belongs to all three teams. One third of the baseball players and 4 of the volleyball players also belong to the soccer team. How many students play only soccer?

8. As a group solve: There are 26 shops at the minimall. One third of the 12 shops that provide services also provide goods. How many shops provide only goods?

9. As a group solve: At a buffet table, ham, chicken, and beef were being served. Of the 200 guests, 70 ate ham, 100 ate chicken, 85 ate beef, 25 ate ham and beef, and 30 ate chicken and ham. One tenth of the guests ate all three. How many guests ate only ham?

10. As a group solve: While on vacation 50 people could opt to fish, scuba dive, and/or waterski. Of the group, 35 went fishing, 32 went scuba diving, 4 tired only water skiing, and 10 did all three. How many went only fishing? Only scuba diving?