This lesson is aligned with TEKS 2012 - 8th Grade Mathematics

• TEKS Math.8.2B: Approximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line.

Exit Ticket: 24 Questions:

1. Which of the following is the best approximation of √50?
   
2. √90 is closest to which whole number?
   
3. The square root of 200 is closest to which decimal?
   
4. Which two consecutive whole numbers does √110 fall between?
   
5. Which of the following is the best estimate for √75?
   
6. The value of π is approximately:
   
7. If a circle has a diameter of 8 cm, what is the approximate circumference using π ≈ 3.14?
   
8. Which fraction best approximates π?
   
9. Which decimal is closest to π?
   
10. The irrational number π can be approximated as 3.14. Which of the following is another approximation?
    
11. Where does √45 lie on a number line?
    
12. Which irrational number is closest to 4.6?
    
13. The square root of 18 lies between which two integers on a number line?
    
14. √8 is closest to which of the following values?
    
15. If x = √32, which number line section should x be placed in?
    
16. Which of the following is the best approximation of √120?
    
17. Which of the following square roots is closest to 8.1?
    
18. The square root of which number is closest to 5.7?
    
19. Which of the following numbers is irrational?
    
20. Which of the following approximations is closest to √99?
    
21. If the side of a square has an area of 120 square cm, what is the approximate length of one side?
    
22. A rope is cut into two pieces: one measuring √72 meters and the other measuring √50 meters. What is the total approximate length of the rope?
    
23. A circle has a radius of 5 cm. What is the approximate circumference using π ≈ 3.14?
    
24. The value of √200 + √50 is closest to: