using real data to learn algebra concrete experienceabstract ideas
TRANSCRIPT
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Using Real Data to Learn Algebra
Concrete Experience Abstract 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 mass 13 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 = 13X13 = 13
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200 grammass
13 marbles
Jamel
(200)(10) = (18) + 13 X
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200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)2000 234
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200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)2000 234X
234 = 234
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200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)8.55 = X
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Kim
400 grams 200 grams and 6 marbles
(400)(19) = (30)(25 + 6x)
7600 = 6000 + 180 X6000 = 6000
1600 = 180 X
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Kim
400 grams 200 grams and 6 marbles
1600 = 180X180 = 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 Length (cm) Period (sec)
1 2.05 4.5
10 6.315 7.820 9.025 10.030 11.035 11.940 12.745 13.550 14.255 14.9
Pendulum
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
0 10 20 30 40 50 60
Length (cm)
Per
iod
(se
c)
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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 DataAsk “How can we represent this?” Plot the Data Write the Mathematical RepresentationTalk About the System
Look for opportunities to: