Transcript PEMDAS RSSx
RSS Mini Conference 2013-2014 Candyce Tracy The Truth about PEMDAS? Reflection What do we know about the Orders of Operations and how do we facilitate that learning to our students? What do you want out of this learning opportunity? Outcomes • Learn something NEW • Leave curious about new content Seven Norms of Collaboration • Pausing • Paraphrasing • Probing for specificity • Putting ideas on the table • Paying attention to self and others • Presuming positive intentions • Promoting a Spirit of Inquiry Are you looking in the mirror or out the window? DuFour, Richard, et. al. Learning by Doing. Bloomington: Solution Tree, 2006. (p. 104) PEMDAS • • • • • • • Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right In the past year we have determined that implementing the CCRS demands for students to develop conceptual understanding of the mathematics they are engaging. Students only exhibit Mathematical Practice Standards when they reason about the math they know, understand, and are able to do. Discuss with a partner what we know about The Order of Operations and if that understanding is conceptual or procedural. 2 + 3 x 5 + 7 + 4 x (3 + 2 x 5 + 1) + 10 + 2 x 3 – 2 Let’s begin our journey to understanding the order of operations!!! 3 x 20 + 2 x 5 + 8 + 7 x 25 = I have three $20 bills, two $5 bills, eight $1 bills, and seven quarters. How much money do I have? He put 7 acorns in a hole under the beech tree, followed by 2 piles of 6 acorns each in a split in the old cottonwood tree. He proudly told his wife that he was hard at work. She asked, “How many acorns have you stored?” Which expression most accurately represents the time sequence of events and the exact way that Rocky stored the acorns? Please solve the expression Draw a representation of the situation Let’s solve this expression 2 + 12 ÷ 4 + 5 + 7 Draw a representation of the situation Rocky buried 3 acorns, his son ate 2, Rocky hid 7 more acorns, the neighbor stole 1, his wife ate 2. How many acorns had Rocky stored? Rocky buried 3 acorns, his son ate 2, Rocky hid 7 more acorns, the neighbor stole 1, his wife ate 2 times as many as his son ate. How many acorns did Rocky have at the end of the day? 30 x ½ x 15 x ⅓ x 4 What about those parentheses and brackets? 2 x (3 + 4 x 5) + 1 + 8 + 6 x 2 Rocky wanted to make a new walkway consisting of 3 large squares, with each square being 4 paving stones across? How many paving stones will Rocky need to buy for his new walk? Represent the story with and expression 2 + 3 x 5 + 7 + 4 x (3 + 2 x 5 + 1) + 10 + 2 x 3 – 2 2 + 3 x 5 + 7 + 4 x (3 + 2 x 5 + 1) + 10 + 2 x 3 – 2 17+ 3 x 5 + 4 x (3 + 2 x 5 + 1) + 2 x 3 17 + 15 + 4 x (3 + 2 x 5 + 1) + 6 38 + 4 x (3 + 2 x 5 + 1) 38 + 4 x (4 + 2 x 5) 38 + 4 x (4 + 10) 38 + 4 x 14 38 + 56 94 The ORDER OF OPERATIONS is an important prealgebra concept that requires understanding rather than mindless mimicry (Jerry Ameis) Reflection of Session Please use an index card 1) Something I learned 2) A Question I still have 3) How can I better facilitate your learning?