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Using Real Data to Learn Algebra Concrete ExperienceAbstract Ideas
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Distributive Property Lab CPO Lever Equipment
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Tyner Academy Students
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How can we represent this balanced system?
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Write a mathematical representation for this.
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What mathematical operation will make the numbers on the left equal the numbers on the right?
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(200)(30) = (10)(600)
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Put three marbles in a baggie. Represent the baggie as a parenthesis.
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Represent each marble as “x”. (14 X)
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Hang a 200 g mass on the left arm.
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Balance it with a bag of marbles.
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Write the equation.
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Solve for X.
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So how did they do?
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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.
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What do we know now?
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More Group Work
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Individual Work
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200 gram mass13 marbles Chappell I see a bag hanging down from a bar. The string is hanging at 18. 10*200 x 13X = 26000x 10*200 2000 = 13X 13 = 13
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200 gram mass 13 marbles Jamel (200)(10) = (18) + 13 X
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200 gram mass 13 marbles Duree (200)(10) = (18)(13 X) 2000234
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200 gram mass 13 marbles Duree (200)(10) = (18)(13 X) 2000234X 234 = 234
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200 gram mass 13 marbles Duree (200)(10) = (18)(13 X) 8.55 = X
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Kim 400 grams200 grams and 6 marbles (400)(19) = (30)(25 + 6x) 7600 = 6000 + 180 X 6000 = 6000 1600 =180 X
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Kim 400 grams200 grams and 6 marbles 1600 = 180X 180 = 180 8.89 = X
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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
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Pendulum Lab
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Students learn to: Calculate slope Associate meaning with slope y = mx force = acceleration * mass mass = density * volume
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Gather Data Ask “How can we represent this?” Plot the Data Write the Mathematical Representation Talk About the System Look for opportunities to:
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