Interactive presentation

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Interactive presentation

  1. 1. Kimberly Hefty EdTech 541 Image courtesy of http://blog.raptivity.com/2012/04/thinning-line-betweeninteractivity-and-interaction/
  2. 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. 3. For more information Visit: http://www.k12.wa. us/mathematics/st andards.aspx
  4. 4. Algebra
  5. 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. 6. 2. Reason abstractly and quantitatively. Image: http://commons.wikimedia.org/wiki/File:A
  7. 7. 3. Model with mathematics. Image: See page for author [Public domain], via Wikimedia Commons
  8. 8. Image: By UNCTAD [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons
  9. 9.  Image: By Ricardo Cancho Niemietz (talk).Ricardo Cancho Niemietz at en.wikipedia [Public domain], from Wikimedia Commons
  10. 10. Click to watch video Arithmetic with Polynomials and Rational Expressions A –APR
  11. 11. Image: http://ell.stanford.edu/sites/default/files/Creating%20Equations.jpeg
  12. 12. Variables Order of Operations
  13. 13. By Averater (Own work) [CC0], via Wikimedia Commons
  14. 14. Variables are letters or symbols used to represent numbers Iantresman 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. 15.  Click me Click me Click me Click me
  16. 16. MORE PRACTICE WITH VARIABLES
  17. 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. 18.       P E M D A S Image courtesy of http://www.mahalo.com/pemdas/
  19. 19. P= •
  20. 20.  Click me Click me Click me Click me
  21. 21.
  22. 22. Examples of exponents/power s answer 5^3 = 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. 23. M= Multiplication D= Division Apply in order LEFT TO RIGHT
  24. 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. 25. A = Addition S = Subtraction Apply in order Left to Right
  26. 26. Practice Problems: 8–2+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. 27. Please Excuse My Dear Aunt Sally
  28. 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 = 61 More Practice At: http://www.mathsisfun.com/operationorder-pemdas.html
  29. 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 22 For more explanation of these steps go: HERE(VIDEO)
  30. 30. Resources Resources: 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. 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-example Completing the Square http://upload.wikimedia.org/wikipedia/commons/3/3d/Completing_the_square.ogv
  32. 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.ogv IMAGES: http://commons.wikimedia.org/wiki http://www.mahalo.com/pemdas/ http://blog.raptivity.com/2012/04/thinning-line-between-interactivity-andinteraction/

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