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Teaching Algebra with Manipulatives

Teaching Algebra with Manipulatives

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NAME ______________________________________________ DATE<br />

____________ PERIOD ____<br />

<strong>Algebra</strong> Activity<br />

(Use <strong>with</strong> <strong>Algebra</strong> 1, Lesson 14-5)<br />

Theoretical and Experimental Probability<br />

Materials:<br />

paper bag, 20 two-inch pieces of paper<br />

Collect the Data<br />

Step 1 Mark 4 slips of paper <strong>with</strong> an X, 7 slips of paper <strong>with</strong> a Y, and<br />

9 slips of paper <strong>with</strong> a Z.<br />

Step 2<br />

Step 3<br />

Put the slips of paper into the bag and mix well.<br />

Draw one slip of paper from the bag and record its letter. Use<br />

the space below to record your results.<br />

Step 4 Return the slip of paper to the bag and mix well. Repeat Steps 3<br />

and 4 until you have completed 20 trials.<br />

Analyze the Data<br />

1. Calculate the experimental probability of choosing each letter.<br />

Express each probability as a percent.<br />

2. Calculate the theoretical probability of choosing each letter.<br />

Make a Conjecture<br />

3. Compare the experimental probability <strong>with</strong> the theoretical probability.<br />

How similar are they?<br />

4. Predict what will happen to the experimental probability as you<br />

increase the number of trials.<br />

© Glencoe/McGraw-Hill 208 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>

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