Using Real Data to Learn Algebra Concrete ExperienceAbstract Ideas.
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Transcript of Using Real Data to Learn Algebra Concrete ExperienceAbstract Ideas.
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.
What mathematical operation will make the numbers on the left equal
the numbers on the right?
(200)(30) = (10)(600)
Put three marbles in a baggie.
Represent the baggie as a parenthesis.
Represent each marble as “x”.
(14 X)
Hang a 200 g mass on the left arm.
Balance it with a bag of marbles.
Write the equation.
Solve for X.
So how did they do?
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.
What do we know now?
More Group Work
Individual Work
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
200 grammass
13 marbles
Jamel
(200)(10) = (18) + 13 X
200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)2000 234
200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)2000 234X
234 = 234
200 grammass
13 marbles
Duree
(200)(10) = (18)(13 X)8.55 = X
Kim
400 grams 200 grams and 6 marbles
(400)(19) = (30)(25 + 6x)
7600 = 6000 + 180 X6000 = 6000
1600 = 180 X
Kim
400 grams 200 grams and 6 marbles
1600 = 180X180 = 180
8.89 = X
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
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)
Students learn to: Calculate slope Associate meaning with slope y = mx force = acceleration * mass mass = density * volume
Gather DataAsk “How can we represent this?” Plot the Data Write the Mathematical RepresentationTalk About the System
Look for opportunities to: