The document provides information and word problems related to math concepts involving circumference, algebra, decimals, and percentages. It includes 4 word problems asking students to: 1) Find the circumference of a circle with a 3' arch; 2) Determine if water fountains will be under warranty after 5 years of use; 3) Calculate the number of students that went out for soccer based on the number of teams; and 4) Compare the number of books read by second graders and fourth/fifth graders combined. Guiding questions and clues are provided for each problem.

1. Math Photography 5th grade

2. In the year 3200 playgrounds will be in zero gravity chambers. These new playgrounds will have complete circles instead of arches. The height of the arch is 3’. The contractor needs to figure out how much much materiel is needed. Help out the contractor and find the circumference of the circle.

3. Hint How many of these arches would it take to create a full circle. It may help to make a pictorial representation of the problem.

4. Because the students at Baker are always thirsty, these water fountains are typically used 50 times daily. The company that makes them says they are under warrantee, and if they break before the 40,000th use they will be replaced at no charge. The fountains will end up breaking after the 5th year they have been used. Will they be under warrantee? How much will they be under or over the warrantee?

5. Clue There are 180 days in a school year. A calculator will help when dealing with large numbers Try making a formula to help you solve the problem.

6. Students from Cobb County are going to start a fútbol league. In a normal game there are 11 players on the field. Enough people want to play for about 13.18 teams. How many students went out for soccer?

7. Aid Make sure you make note of how many decimal places were in the original problem. Can there really bepartialpeople? Soccer and fútbol are the same game.

8. Suppose this board represented 15.4 elementary schools in the county. Did thesecond graders or the fourth and fifth grades combined read the most books? How many more/less did they read? The Diary of a Wimpy Kid is a great book.

9. Assistance What is the problem asking? You may want to check your work with an estimated solution.

10. Answers #1— 18.85 feet #2— No they are not under warrantee. The fountains will be 5,000 uses over warrantee #3—145studentswent out for soccer. #4— The fourth and fifth graders combined read 19 more books than the second graders.

11. GPS’s M5M2. Students will extend their understanding of perimeter to include circumference. a. Derive the formula for the circumference of a circle. b. Find the circumference of a circle using the formula and pi ≈ 3.14. M5A1. Students will represent and interpret the relationships between quantities algebraically. a. Use variables, such as n or x, for unknown quantities in algebraic expressions. b. Investigate simple algebraic expressions by substituting numbers for the unknown. c. Determine that a formula will be reliable regardless of the type of number (whole numbers or decimals) substituted for the variable M5N3. Students will further develop their understanding of the meaning of multiplication and division with decimals and use them. a. Model multiplication and division of decimals. b. Explain the process of multiplication and division, including situations in which the multiplier and divisor are both whole numbers and decimals. c. Multiply and divide with decimals including decimals less than one and greater than one. d. Understand the relationships and rules for multiplication and division of whole numbers also apply to decimals. M5N5. Students will understand the meaning of percentage. a. Explore and model percents using multiple representations.