1. Unit 2 Real World Problems and Estimation

2. Key Words Sum- Add Difference- Subtract Product- Multiply Quotient- Divide

3. Solving Word Problems Analyze the problem Decide what it is asking Pick out the important information Decide which operation you need to use Find the solution Check your answer to see if it sounds reasonable

4. Example 1 Jake is laying carpet in three rooms of his house. The dimensions of the room are 12 feet by 10 feet, 16 feet by 15 feet and 10 feet by 9 feet. How many square feet of carpet will be needed?

5. Example 1 Jake is laying carpet in three rooms of his house. The dimensions of the room are 12 feet by 10 feet, 16 feet by 15 feet and 10 feet by 9 feet. How many square feet of carpet will be needed? Strategy: Find the area of each room.

6. Example 1 Jake is laying carpet in three rooms of his house. The dimensions of the room are 12 feet by 10 feet, 16 feet by 15 feet and 10 feet by 9 feet. How many square feet of carpet will be needed? Strategy: Find the area of each room. Multiply each length and width 12 x 10 = 120 square feet 16 x 15 = 240 square feet 10 x 9 = 90 square feet

7. Example 1 Jake is laying carpet in three rooms of his house. The dimensions of the room are 12 feet by 10 feet, 16 feet by 15 feet and 10 feet by 9 feet. How many square feet of carpet will be needed? Strategy: Find the area of each room. Multiply each length and width 12 x 10 = 120 square feet 16 x 15 = 240 square feet 10 x 9 = 90 square feet Add the area of each room to get the total area 120 + 240 + 90 = 450 square feet Solution: Jake will need 450 square feet of carpet

8. Solving Word Problems Sometimes drawing a sketch or table is helpful.

9. Example 2 East Tower is 25 feet taller than Middle Manor, which is 40 feet taller than Base Building. Base Building is 60 feet tall. How tall is East Tower?

10. Example 2 East Tower is 25 feet taller than Middle Manor, which is 40 feet taller than Base Building. Base Building is 60 feet tall. How tall is East Tower? 25 ft 40 ft 60 ft ET MM BB

11. Example 2 East Tower is 25 feet taller than Middle Manor, which is 40 feet taller than Base Building. Base Building is 60 feet tall. How tall is East Tower? 25 ft 40 ft 60 ft ET MM BB Add each additional height. 60 feet + 40 + 25 = 125 feet East Tower is 125 feet tall

12. Example 3 The soccer team bought 600 candy bars for $0.50 each. If the team sells the bars for $2.00 each, what will be the total profit?

13. Example 3 The soccer team bought 600 candy bars for $0.50 each. If the team sells the bars for $2.00 each, what will be the total profit? 1 method is to take the cost of the candy bars away from the revenue. 600 x $2 = $1200 600 x $0.50 = 300 Profit = $1200 – $300 = $900

14. Example 3 The soccer team bought 600 candy bars for $0.50 each. If the team sells the bars for $2.00 each, what will be the total profit? A second method is to find the profit of each candy bar and multiply that times the number of bars sold. $2 - $0.50 = $1.50 600 x $1.50 = $900 Profit = $900

15. Example 4

16. 160 + 40 + 70 = 270 total in expenses 270/4 people = $67.50 each

17. Example 5

18. I see this as a square that she walks along, with 2 extra 1 mile lines. This makes a total of 10 miles for the course. She jogs this course 3 times each week so 3 x 10 = 30 miles

19. Example 6

20. Distance = rate x time 600miles = 50miles per hour x time 600miles/50miles per hour = 12 hours

21. Example 7

22. 187 x 3.75 = 701.25 141 x 5.25 = 740.25 701.25 + 740.25 = $1441.50

23. Example 8

24. 6 x 1.25 = 7.5 7.5 + 3 + 2.5 +.8 = 13.80 25 – 13.80 = $11.20

25. Example 9

26. .40 profit on each pen 400 x.40 = 160

27. Example 10

28. 2 x 1.59 = 3.18 3 x 2.79 = 8.37 3.18 + 8.37 = 11.55

29. Example 11

30. ST ESB 200 feet SN 645 feet 1450 – 200 – 645 = 605 feet

31. Estimating Estimation can make the calculations easier to do. Round your values to estimate an answer. Round your values to see if an answer makes sense.

32. Example 1

35. Example 2

37. Example 3 A family went out to dinner. Their bill, including tax was $67.13. They left a 15% tip. What was the approximate cost of the dinner, including tip?

38. Example 3 A family went out to dinner. Their bill, including tax was $67.13. They left a 15% tip. What was the approximate cost of the dinner, including tip? Round $67.13 to the nearest $10 70 x.15 = 10.50 70 + 10.50 = 80.50 The total cost was approximately $80.50