1.Kimberly Hefty EdTech 541Image courtesy of http://blog.raptivity.com/2012/04/thinning-line-betweeninteractivity-and-interaction/

2. Students are expected to: A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.By U.S. Navy photo by Journalist 2nd Class Mat Sohl. [Public domain], via Wikimedia Commons 3. For more information Visit:http://www.k12.wa. us/mathematics/st andards.aspx 4. Algebra 5. 1. Make sense of problems & persevere in solving them.Image courtesy of http://plsonline.wordpress.com/2008/05/02/new-courseteaching-algebra-to-middle-school-students/ 6. 2. Reason abstractly and quantitatively.Image: http://commons.wikimedia.org/wiki/File:A 7. 3. Model with mathematics.Image: See page for author [Public domain], via Wikimedia Commons 8. Image: By UNCTAD [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons 9. Image: By Ricardo Cancho Niemietz (talk).Ricardo Cancho Niemietz at en.wikipedia [Public domain], from Wikimedia Commons 10. Click to watch videoArithmetic with Polynomials and Rational Expressions A APR 11. Image: http://ell.stanford.edu/sites/default/files/Creating%20Equations.jpeg 12. VariablesOrder of Operations 13. By Averater (Own work) [CC0], via Wikimedia Commons 14. Variables are letters or symbols used to represent numbersIantresman at English Wikipedia [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons 15. Click me Click me Click me Click me 16. MORE PRACTICE WITH VARIABLES 17. By HB (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0-2.5-2.0-1.0 (http://creativecommons.org/licenses/by-sa/3.0)], via Wikimedia Commons 18. P E M D A S Image courtesy of http://www.mahalo.com/pemdas/ 19. P= 20. Click meClick meClick meClick me 21. 22. Examples of exponents/power s answer5^3 = 125 answer(-2)^4 = 16 By Ryan Somma (Flickr: Multiplication Machine) [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons 23. M= Multiplication D= DivisionApply in order LEFT TO RIGHT 24. Practice Problems: 5+ 3 x 8 2 5 + 24 2 Select to reveal 5 answer & steps + 12 =17 10 4 2 x 5 10 2 x 5 Select to 10 10 reveal answer & steps =0 Image courtesy of http://www.psycheduweb.fr/2011lodyssee-dune-influence-web-versatile/ 25. A = Addition S = SubtractionApply in orderLeft to Right 26. Practice Problems: 82+3 Select 6+3 to reveal answer & steps =9 10 + 5 2 Select to 15 2 &reveal answer steps = 13 Image: http://www.sri.com/work/projects/bridging-valley-step-ahead-stemmajors 27. PleaseExcuse My Dear Aunt Sally 28. 8 + (5)(4) (6 + 10 2) + 44 8 + (5)(4) (6 + 5) + 44 8 + (5)(4) (11) + 44 8 + 20 (11) + to See Click Here 44 Solution 28 11 + 44Steps & 17 + 44 = 61More Practice At: http://www.mathsisfun.com/operationorder-pemdas.html 29. 7 x 2 + (7 + 3 x (5 2)) 4 x 2 7 x 2 + (7 + 3 x (3)) 4 x 2 7 x 2 + (7 + 9) 4 x 2 7 x 2 + (16) 4 x 2 Click 14 + to See 4 x 2 & Steps Here (16) Solution 14 + 4 x 2 14 + 8 22For more explanation of these steps go: HERE(VIDEO) 30. ResourcesResources: Graham, A. T., & Thomas, M. O. (2000). Building a versatile understanding of algebraic variables with a graphic calculator. Educational Studies in Mathematics, 41(3), 265-282. Lee, J. K., Licwinko, S., & Taylor-Buckner, N. (2013). Exploring Mathematical Reasoning of the Order of Operations: Rearranging the Procedural Component PEMDAS. Journal of Mathematics Education at Teachers College, 4(2).Roblyer, M.D. & Doerling, A.H. (2013). Integrating educational technology into teaching (6th ed.). Upper Saddle River, NJ: Pearson. 31. Resources Videos: Algebra (Khan Academy) https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-andexpressions/v/what-is-a-variable PEMDAS https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-andmultiples/cc-6th-order-operations/v/introduction-to-order-of-operations http://www.youtube.com/watch?v=OWyxWg2-LTY https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-andmultiples/cc-6th-order-operations/v/more-complicated-order-of-operations-exampleCompleting the Square http://upload.wikimedia.org/wikipedia/commons/3/3d/Completing_the_square.ogv 32. Resources WEBSITES: http://www.k12.wa.us/mathematics/standards.aspx http://www.k12.wa.us/CoreStandards/Mathematics/ http://www.mathsisfun.com/operation-order-pemdas.html https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factorsand-multiples/cc-6th-order-operations/v/more-complicated-order-ofoperations-example http://upload.wikimedia.org/wikipedia/commons/3/3d/Completing_the_squ are.ogvIMAGES: http://commons.wikimedia.org/wiki http://www.mahalo.com/pemdas/ http://blog.raptivity.com/2012/04/thinning-line-between-interactivity-andinteraction/