Problem SolvingProblem Solvinguse a diagramuse a diagram

SWBAT solve problems using a SWBAT solve problems using a diagramdiagram

How would you go about solving How would you go about solving this?this?

There are 27 bowling balls for rent that are There are 27 bowling balls for rent that are black, speckled, or both. If 12 are black black, speckled, or both. If 12 are black and 24 are speckled, what fractional part and 24 are speckled, what fractional part of the bowling balls are both black and of the bowling balls are both black and speckled?speckled?

Re-readRe-read

List the factsList the facts 27 bowling balls27 bowling balls 12 are black12 are black 24 are speckled24 are speckled

What is it asking?What is it asking? What fraction shows how many are both black What fraction shows how many are both black

and speckled?and speckled?

PlanPlan

How will you solve this?How will you solve this? Make a Venn diagramMake a Venn diagram Let A represent black ballsLet A represent black balls Let B represent speckled ballsLet B represent speckled balls Let C represent both black and speckledLet C represent both black and speckled

A C B

SolveSolveAdd up the numbers givenAdd up the numbers givenSubtract them from 27Subtract them from 27(12+24) – 27(12+24) – 2736 – 2736 – 2799

93 15

CheckCheck

9/27 or 1/3 of the balls are both speckled 9/27 or 1/3 of the balls are both speckled and blackand black

Add up A + B + C = 27Add up A + B + C = 27

3 + 9 + 15 = 273 + 9 + 15 = 27

27 = 2727 = 27

As a group solve:As a group solve:

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

As a group solve:As a group solve:

There are 26 shops at the minimall. One There are 26 shops at the minimall. One third of the 12 shops that provide services third of the 12 shops that provide services also provide goods. How many shops also provide goods. How many shops provide only goods?provide only goods?

As a group solve:As a group solve:

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

As a group solve:As a group solve:

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