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Using Real Data to Learn Algebra Concrete ExperienceAbstract Ideas.

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Presentation on theme: "Using Real Data to Learn Algebra Concrete ExperienceAbstract Ideas."— Presentation transcript:

1 Using Real Data to Learn Algebra Concrete ExperienceAbstract 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

19 200 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

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

21 200 gram mass 13 marbles Duree (200)(10) = (18)(13 X) 2000234

22 200 gram mass 13 marbles Duree (200)(10) = (18)(13 X) 2000234X 234 = 234

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

24 Kim 400 grams200 grams and 6 marbles (400)(19) = (30)(25 + 6x) 7600 = 6000 + 180 X 6000 = 6000 1600 =180 X

25 Kim 400 grams200 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 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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