1. LARGE TO SMALL = MULTIPLY 1 YD = 3 FT A. 36 yd = ft

2. LARGE TO SMALL = MULTIPLY 1 YD = 3 FT A. 36 yd = ft 1 yd = 36 yd 3 ft = X 3 36 = 1X 108 = 1X 1 1 108 ft = X

3. NUMERICAL EXPRESSION A numerical expression is a mathematical phrase that uses numbers or numbers with operations. For example: 6 or 4 + 3

4. P URPLE RPLE ELEPHANTSLEPHANTS MAY DESTORYESTORY A SCHOOLCH

5. 12/1/2014 ORDER OF OPERATIONS Parentheses : Simplify the expressions inside grouping symbols like parentheses Exponents and Square Roots : Find the value of all powers and square roots Multiply and Divide in order from Left to Right Add and Subtract in order from Left to Right

6. DIVISION AND MULTIPLICATION HAVE EQUAL RANK. (GO LEFT TO RIGHT). ADDITION AND SUBTRACTION HAVE EQUAL RANK. (GO LEFT TO RIGHT) 6 12/1/2014 Order of Operations

7. 12/1/2014 ORDER OF OPERATIONS To DoOrder Take a shower Eat breakfast Get dressed Buy tickets for the fair Put on shoes Put on socks Ride to fair Get money from piggy bank

8. 12/1/2014 ORDER OF OPERATIONS 2. Admission = $8.00 per person Ride ticket = $3.00 Ayana - buy five rides ( 8 + 5 3) - admission (8 + 5 3) = $23

9. 12/1/2014 ORDER OF OPERATIONS 2. Admission = $8.00 per person Ride ticket = $3.00 Zachary – buy 8 rides AM and 5 rides PM - (8 + 5 3) = $39 NOT including admission

10. 12/1/2014 ORDER OF OPERATIONS 3. (8 + 5 3) It is correct for Ayana, but not for Zachary. It should be 8 3 + 5 3 4. 100 – 60 + 5 Yes, she will have the $40 she left at home plus the $5 her dad gave her.

11. 12/1/2014 ORDER OF OPERATIONS 5. 100 – 60 + 5 No, the 5 should be subtracted, not added. 6. 6 ÷ 3 x 4 Yes, you divide 6 by 3 first and then multiply the answer, 2 by 4, giving 8.

12. 12/1/2014 ORDER OF OPERATIONS 7. a. 3² + 3² = 18 b. 2 3² = 2 9 = 18 Yes, he could evaluate the exponent part first

13. 12/1/2014 ORDER OF OPERATIONS 8. Simplify each expression a. 2 + 3² = 144 b. 19 + 32 ÷ 2³ = 32 ÷ 8 = 19 + 4 = 23

14. 12/1/2014 ORDER OF OPERATIONS 8. Simplify each expression c. 9 (2 + 3)² - 14 = 211 9. (8 + 5)3; both the 8 and the 5 should be multiplied by 3

15. 12/1/2014 ORDER OF OPERATIONS 10. Simplify each expression a. 8 + 4 2 + 2(2 + 6) 8 + 4 2 + 2(8) 8 + 4 2 + 16 8 + 8 + 16 16 + 16 b. = $32

16. EXIT: A. 10 + (5 - 4) X 3 B. 5 X 3 – (2 + 2)

17. EXIT: A. 10 + (5 - 4) x 3 10 + 1 x 3 10 + 3 13

18. EXIT: B. 5 x 3 – (2 + 2) 15 – 4 1