Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Order of operations


Published on

  • Login to see the comments

Order of operations

  1. 1. Order of Operations 1-2
  2. 2. Warm-Ups <ul><li>Write an algebraic expression for each verbal expression. </li></ul><ul><li>1.  the product of the third power of a and the fourth          power of b </li></ul><ul><li>2.  six less than three times the square of y </li></ul><ul><li>3.  the sum of a and b increased by the quotient of b and a </li></ul><ul><li>4.  four times the sum of r and s increased by twice the difference of r and s </li></ul><ul><li>5.  triple the difference of 55 and the cube of w  </li></ul>
  3. 3. Vocabulary: <ul><li>order of operations </li></ul>
  4. 4. Numerical expressions often contain more than one operation.  A rule is needed to let you know which operation to perform first.  This rule is called the order of operations .   Order of Operations Step 1:  Evaluate expressions inside grouping symbols Step 2:  Evaluate all powers Step 3: Do all multiplications and/or divisions from left to right. Step 4:  Do all additions and/or subtractions from left to right.
  5. 5. PEMDAS <ul><li>P lease  </li></ul><ul><li>E xcuse </li></ul><ul><li>M y </li></ul><ul><li>D ear </li></ul><ul><li>A unt </li></ul><ul><li>S ally </li></ul>
  6. 6. Evaluate Expressions: <ul><li>a.  6 +4 -2 *3 </li></ul><ul><li>            </li></ul><ul><li>             </li></ul><ul><li>b.  48/2^3*3+5 </li></ul><ul><li>  </li></ul><ul><li>            </li></ul>
  7. 7. Grouping Symbols: <ul><li>a.  (8-3) * 3(3+2) </li></ul><ul><li>            </li></ul><ul><li>b.  4 [12/ (6-2)]^2 </li></ul><ul><li>            </li></ul>
  8. 8. Fraction Bar: <ul><li>a.  2^5 - 6*2 </li></ul><ul><li>   3^3 - 5*3 - 2 </li></ul><ul><li>            </li></ul>
  9. 9. Evaluate an algebraic expression: <ul><li>a.  Evaluate:  </li></ul><ul><li>    2(x^2 - y) + z^2    if x=4, y=3, and z=2. </li></ul><ul><li>            </li></ul>
  10. 10. Architecture Ex. <ul><li>Each of the four sides of the Great Pyramid at Giza, Egypt, is a triangle.  The base of each triangle originally measured 230 meters.  The height of each triangle originally measured 187 meters.  The area of any triangle is one-half the product of the length of the base b and the height h .  </li></ul><ul><li>  </li></ul><ul><li>b.  Write an expression that represents the area of one side of the Great Pyramid. </li></ul><ul><li>c.  Find the area of one side of the Great Pyramid. </li></ul>
  11. 11. Glencoe/McGraw-Hill 2003