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Using Real Data to Learn Algebra

Using Real Data to Learn Algebra. Concrete Experience Abstract Ideas . Distributive Property Lab. CPO Lever Equipment. Tyner Academy Students. How can we represent this balanced system?. Write a mathematical representation for this.

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Using Real Data to Learn Algebra

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  1. Using Real Data to Learn Algebra Concrete Experience Abstract Ideas

  2. Distributive Property Lab CPO Lever Equipment

  3. Tyner Academy Students

  4. How can we represent this balanced system?

  5. Write a mathematical representation for this.

  6. What mathematical operation will make the numbers on the left equal the numbers on the right?

  7. (200)(30) = (10)(600)

  8. Put three marbles in a baggie. Represent the baggie as a parenthesis.

  9. Represent each marble as “x”. (14 X)

  10. Hang a 200 g mass on the left arm.

  11. Balance it with a bag of marbles.

  12. Write the equation.

  13. Solve for X.

  14. So how did they do?

  15. Learning goes through stages. • This is fun!!! • Now what are we supposed to do? • I’m lost • This is stupid!! • We stop and and refocus.

  16. What do we know now?

  17. More Group Work

  18. Individual Work

  19. 13 = 13 Chappell 10*200 x 13X = 26000x 10*200 2000 = 13X 200 gram mass 13 marbles I see a bag hanging down from a bar. The string is hanging at 18.

  20. Jamel 200 gram mass 13 marbles (200)(10) = (18) + 13 X

  21. Duree 200 gram mass 13 marbles (200)(10) = (18)(13 X) 2000 234

  22. Duree 200 gram mass 13 marbles (200)(10) = (18)(13 X) 2000 234X 234 = 234

  23. Duree 200 gram mass 13 marbles (200)(10) = (18)(13 X) 8.55 = X

  24. Kim 400 grams 200 grams and 6 marbles (400)(19) = (30)(25 + 6x) 7600 = 6000 + 180 X 6000 = 6000 1600 = 180 X

  25. Kim 400 grams 200 grams and 6 marbles 1600 = 180X 180 = 180 8.89 = X

  26. Students learn to: • Set up a data table • Enter the data • Make a scatter plot • Associate the data table with the graph • Draw a best-fit curve • Identify the x,y coordinates

  27. Pendulum Lab

  28. Students learn to: • Calculate slope • Associate meaning with slope • y = mx • force = acceleration * mass • mass = density * volume

  29. Gather DataAsk “How can we represent this?” Plot the Data Write the Mathematical RepresentationTalk About the System Look for opportunities to:

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