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Teaching Algebra with Manipulatives

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Chapter 14 <strong>Teaching</strong> Notes and Overview<br />

what should happen. Whereas, experimental<br />

probability is determined by using data from<br />

tests or experiments.<br />

Provide a paper bag for each group of two<br />

students and 20 two-inch pieces of paper. Ask<br />

the pairs to follow the steps to Collect the<br />

Data on the worksheet. Then have them<br />

complete Exercises 1–4. As soon as all pairs<br />

have finished the activity, collect the data from<br />

all groups. Examine the data as a class. Discuss<br />

how having a larger set of data affects how<br />

close the experimental probability is to the<br />

theoretical probability.<br />

Answers<br />

1. See students’ work.<br />

2. P(X) 20%, P(Y) 35%, P(Z) 45%<br />

3. See students’ work.<br />

4. It should closely resemble the theoretical<br />

probability.<br />

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

Recording Sheet<br />

Simulations<br />

(p. 209 of this booklet)<br />

Use With the activity on page 783 in Lesson<br />

14-5 of the Student Edition.<br />

Objective Find experimental and theoretical<br />

probabilities of rolling a given number on a die.<br />

Materials<br />

die<br />

Students will roll a die 20 times and record<br />

the results. They then list the experimental<br />

probability of rolling each number. Students<br />

then find the theoretical probability of rolling<br />

given numbers and compare these results <strong>with</strong><br />

their experimental probabilities. Finally, they<br />

draw conclusions based on the relationship<br />

between the number of experiments in a<br />

simulation and the experimental probability.<br />

<strong>Algebra</strong> 1—Chapter 14<br />

Answers<br />

See Teacher Wraparound Edition p. 783.<br />

© Glencoe/McGraw-Hill 205 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>

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