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Operations and Algebraic Thinking

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1 Operations and Algebraic Thinking
Fifth-Grade Common Core Math Operations and Algebraic Thinking 5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. ( { [ ] } ) By: Jessica Dykes

2 Today we will use these mathematical practices:
5.MP.1. Make sense of problems and persevere in solving them. (Never give up!) 5.MP.5, Use appropriate tools strategically. 5.MP.8. Look for and express regularity in repeated reasoning.

3 Key Vocabulary Expression- a combination of numbers, variables, and/or operations Ex. 2+3 2+9x3 B+5 Order of Operations- a set of rules for evaluating an expression with more than one operation

4 First let’s review: Order of Operations
P-Parentheses- This also includes braces and brackets. E-Exponents M/D-Multiply or divide depending on what comes first from left to right. A/S-Add or subtract depending on what comes first from left to right. PEMDAS or Please Excuse My Dear Aunt Sally StudyJams

5 Take out your white board.
Let’s practice: Take out your white board. – 9 ÷ 3 -1 = ( 3 X 6 ) +10= ÷ 3 + (63 ÷ 3) – 6 =

6 . Examples: (26 + 18) ÷ 4 { [2 X (3+5)] - 9} + [5 x (23-18)]
Answers: 11 32 11.2 Circle the operation you would do first in red. x ( 3 + 6) -16 2. [ 36 + (2 x 5)] ÷ 2 ÷ 2 x 4

7 Word problems A teacher has to buy supplies for her class. She buys each of her 24 students a box of crayons for $0.50 each, a pair of scissors for $1.50, and a spiral notebook for $0.25. How much does it cost for her to buy all of these items? Use one expression to solve. Answers 24 x [ ( )] 24 x [ ] 24 x 2.25 = $54.00

8 Notes on Order of Operations
Parentheses:__________________________________ Exponents ____________________________________ Multiply/Divide _________________________________ Add/Subtract __________________________________

9 Notes on Order of Operations
Parentheses:__________________________________ Exponents ____________________________________ Multiply/Divide _________________________________ Add/Subtract __________________________________

10 Activities for practice:
Hello Architect font by Jen Jones Wonderful free fonts  Borders from Graphics From the Pond - Some or all of the graphics in this presentation came from Graphics From the Pond. It is a violation of copyright laws to remove the graphics from this presentation for other uses. If you wish to use these graphics for yourself, you can find them by visiting and following the links provided to the graphics store. Thank you for respecting copyright laws and the artist that created them. Copyright © Jessica Dykes April, 2013


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