7th Grade Math

GLE 0706.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation,

and reasonableness of the solution. Also addresses GLE 0706.5.5.

464 Probability and Predictions

Problem-Solving Investigation

Multi-Part

Lesson 3 Predictions

PART A B C DE

Main Idea Solve problems by acting them out.

Act It Out

EDDIE: I’ve been practicing free throws every day

after school. Now I can make an average of 3 out

of 4 free throws I try. I wonder how many times I

usually make two free throws in a row.

YOUR MISSION: Act it out to determine the

probability that Eddie makes two free throws

in a row.

Understand You know that Eddie makes an average of 3 out of 4 free throws. You could

have Eddie actually make free throws, but that requires a basketball hoop. You

could also act it out with a spinner.

Plan Spin a spinner, numbered 1 to 4, two times. If the spinner lands on 1, 2, or 3, he

makes the free throw. If the spinner lands on 4, he doesn’t make it. Repeat the

experiment 10 times.

Solve Spin the spinner and make a table of the results.

Trials 12345678910

First Spin 4143122132

Second Spin 2332141433

The circled columns show that six out of the 10 trials resulted in two free throws

in a row. So, the probability is 60%.

Check Repeat the experiment several times to see whether the results agree.

1. Would the results of the experiment be the same if it were repeated?


2. E WRITE MATH Write a real-world problem that can be solved by acting it
   out. Then solve the problem by acting it out.

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Multi-Part

Lesson 3

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