1. Warmup - Finite or Infinite? 1.irrational numbers between 3 & 7 2.rational numbers between 4 & 10 3.whole numbers between 5 and 10 4.integers 5.{10, 9, 8} 6.integers between 3 & 10 7.rational numbers between 2 & 3 8.counting numbers between 3 & 10 9. 10.integers between 3 and 8 11.irrational numbers less than 10 12.integers less than 2 13.rational numbers more than 10 14.whole numbers less than 10

2. Solving Word Problems Lesson 6

3. Review – The sets belong to which number sets? 15. { } belongs to which number set? 16.number of people in Arizona 17.Jose estimates the length of a board needed for a triangular planter at feet. Which is the approximate length of the board?

4. Review - Properties 18.(g + e) + t = g + (e + t) 19.g(e + t) = ge + gt 20. g + e = e + t 21. 0 + g = g

5. MATHESE (the language of math) Write all the terms that imply these operations. Addition Subtraction Multiplication Division

6. Is there a difference? eight more than six versus six more than eight four less than five versus five less than four product of two and four versus product of four and two quotient of six and three versus quotient of three and six Fifteen divided by three versus three divided by fifteen

7. Using a Verbal Model Ask yourself what you need to know to solve the problem. Assign labels to each part of the verbal model. Draw a picture. Solve the model and answer the question. Check that your answer is reasonable. On-Line Explanation of Solving Word Problems

8. Amanda jogs the following path around her neighborhood twice a week. The lengths are noted in blocks. How many blocks a week does she jog?

9. Darren and his two roommates share expenses evenly. Their expenses for August include a $260 electric bill, a $20 water bill and an $80 cable bill. How much will Darren spend on expenses in August?

10. Jeremy’s sister, Teresa, is 6 years older than Jeremy. Tracy is 5 years older than Jeremy. If Teresa is 10, how old is Tracy?

11. The gym building is 20 feet higher than the main wing of the school. The main wing of the school is 10 feet higher than the CTE classroom building. If the gym building is 50 feet high, how tall is the CTE classroom building?

12. On Friday night, the concession stand sold 300 popcorns and 400 sodas. The cost of a bag of popcorn is $1. Soda cost $1.50. How much money did the concession stand earn Friday night from these two items?

13. Jeremy had $15 from cleaning the garage. He went out for breakfast and ordered two eggs and French toast with ham. How much money does he have left?

14. How much does it cost to buy 3 pounds of plums and 2 pounds of pears?

15. The Sears Tower in Chicago is 200 feet taller than New York’s Empire State Building, which is 645 feet taller than the Seattle Space Needle. The Sears Tower is 1,450 feet tall. How tall is the Space Needle?

16. Chocolate Kisses come in bags holding 13 servings of 5 Kisses each. Student Council purchased 6 bags. If each goodie bag is to hold 8 kisses, how many bags can be made?

17. Sam boards a plane in Tucson, Arizona, where the temperature is 105  F and flies to Lincoln, Nebraska, where the temperature is -5  F. What number represents the change in temperature in degrees Fahrenheit going from Tucson to Lincoln?

18. Adam’s business showed a loss of $7,000 in 2005 and a loss of $3,000 in 2006. How much better did the business do in 2006 than in 2005?

19. A helicopter is flying at 2,000 feet above sea level, directly above the Loch Ness monster 300 feet below the surface of the lake. How far are they apart?

20. One June 1, Terri had a balance of $100 in her bank account. During June she made the four transactions: deposited $200, withdrew $50, wrote a check for $100, paid a bank fee of $25. If there were no other transactions, what was the balance in Terri’s account on July 1?

21. On Your Own Write your own expression in words and then in mathematical symbols.

22. Independent Work 1.Ben’s hourly wage at his after school job is $1.50 less than Eileen’s hourly wage. Eileen earns $10. What is Ben’s hourly wage? 2.The distance to school is 1/5 mile more than the distance to the Community Center swimming pool. The pool is 3.5 miles from the school. How far is the distance to the school? 3.The length of the Colorado River is three times the length r of the Connecticut River, plus 229 miles. The Connecticut river is 407 miles. How long is the Colorado River? 4.Pi (  ) is the quotient of the circumference C and the diameter of a circle. If pi is approximated at 3 and the circumference of a circle is 15, what is its diameter? 5.Club memberships are $25 for adults and $10 for children under 12. If 13 adults join the club, how many children may join to collect $500. 6.Jonathan bought 3 containers of strawberries at $2.50 each and 2 pounds of cherries at $1.99/pound. He had $20. How much change did he receive after making his purchases? 7.Serena works 6 hours a day Monday through Friday and 8 hours on Saturday. During one week, how many total hours does she work? 8.Ted jogs 2.1 miles three times during the weekdays and twice as far on Saturday and Sunday. How many miles does he jog during a week? 9.You and three friends are having lunch at a Chinese restaurant that charges $2 per plate. You order lots of plates of wontons, egg rolls, and dumplings. The waiter gives you a bill for $25.50 which includes tax of $1.20. How many plates did you and your friends order? 10. You and your friends go to a music store to buy CD’s on sale for $6 each. Together you spent $66.76, which included a tax of $5.76. How many CD’s did you buy together? 11. A sales person drives at a speed of 50 miles per hour. When he is 175 miles from his destination, he remembers that he has a meeting in three hours. a. At his current speed, will he be on time for his meeting? b. At what speed should he travel from this point on to make sure he gets there on time?