8/15/19 Good morning! Head to GOFO! Do you know your perfect squares?

1. Objective: 8.EE.A.2 Evaluate square roots of small perfect squares 8.NS.A.2 Estimate the value of irrational expressions. For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 8/15/19  Good morning!Head to GOFO!Do you know your perfect squares?

2. Bellringer 1.  Select all numbers that are perfect squares from the following list: A.  50 B. 125 C. 144 D. 6 E. 64 2.  What is the square root of 49? A.  7 B. 10 C. 9 D. 25 3.  What is 9 squared? A.  3 B. 81 C. 18 D. 36

3. Announcement We have not even talked about cubes or cube roots.  This week, don't worry about last 2 hmwk problems.  If you make an 80%, it will be counted as 100%.  You only get this bonus if you earn it.

4. AGENDA *Recap of Squares and Roots *Approximating Square Roots-notes *Online Square Root Game

5. VOCAB

6. Square Roots have 2 solutions...Whaaaaattt? Square numbers have two of the SAME factors. The square root of 36 could be 6 or -6. 6 x 6= 36 -6 x -6 = 36

7. If there is no sign in front of the radical, list the positive root.

8. If there is a +/- sign in front of the radical, list BOTH square roots.

9. If there is a - sign in front of the radical, list the negative square root.

10. Fractions: If there is a fraction under the radical, take the square root of the numerator AND the denominator

11. What number can you square and get -16? Negative under the Square Root-NO SOLUTION

12. Use cheez-its to make perfect squares But what if we CUT squares? Could we cut the pieces to make 2 cheez-its a square?

13. Possible tries: thirds fourths tenths Which approximation comes closest?

14. http://tube.geogebra.org/m/124656

15. Ex 1: Approximating Square Roots Which two perfect squares would the number fall between? 2 3 2.?? Make a prediction

16. Ex 1: Approximating Square Roots Which two perfect squares would the number fall between? 2 3 2.?? Make a prediction

17. Ex 2: Approximating Square Roots Which two perfect squares would the number fall between?

18. Ex 2: Approximating Square Roots Which two INTEGERS would the number fall between?

19. Ex 2: Approximating Square Roots INTEGERS 7 8 7.?? Make a prediction

20. Ex 3: Approximating Square Roots

21. Ex 3: Approximating Square Roots Which two perfect squares would the number fall between? 14 15 14.?? Make a prediction

22. Square Roots Games! http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.SQUA&lesson=html/object_interactives/square_roots/use_it.html

27. Human Number Line Write an imperfect square root between 1 and 225 on your notecard.  Find where you go and pin to the number line.

30. Human Numberline Trade cards with someone. Now you must find which two integers your new card would fall between.

31. Solo Practice 1. 2. 3 times the Square Root of 5 3. 4. 5.

32. Can we get closer without guessing/checking? http://www.pbslearningmedia.org/resource/mgbh.math.ns.approxsqroot/approximating-square-roots-of-nonperfect-squares/

33. Exit Ticket Which two perfect squares would the number fall between? __.?? Make a prediction