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Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

Common Core: 7.SP.6

### Suggested Learning Targets

**Simple Event Probability (7.SP.6)**

Predicting with probability

Observing actual result

If you roll a number cube 240 times, how many times would you expect to get a 1 or a 4?

**Theoretical and Experimental Probability**

This lesson explains the difference between Theoretical and Experimental Probability.

Theoretical probability shows what should happen in an experiment.

Experimental probability shows what actually happens in an experiment.

**Theoretical Probability versus Experimental Probability**

Comparing theoretical and experimental probability.**Probability: Making Predictions**

Use probability and proportion to make predictions based on a survey.

Making Predictions Probability

Taking the probability of an event and predicting what a larger sample would result.**Probability Predictions**

Use basic probability to make a prediction.

Step 1: Set up a proportion

Step 2: Use cross multiplication or equivalent fractions to solve.

Example:

You have 25 blocks in a bag. There are 15 red, 4 blue and 6 yellow blocks. If you pill a block out of the bag and replace it 200 times, how many times would you pull out a blue block?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times

Common Core: 7.SP.6

- I can distinguish the difference between relative frequency (experimental probability) and probability (theoretical).
- I can use probability to predict the number of times a particular event will occur.
- I can find probabilities when given sample spaces for simple events using methods such as organized lists and table.
- I can collect data to approximate probability

Predicting with probability

Observing actual result

If you roll a number cube 240 times, how many times would you expect to get a 1 or a 4?

This lesson explains the difference between Theoretical and Experimental Probability.

Theoretical probability shows what should happen in an experiment.

Experimental probability shows what actually happens in an experiment.

Comparing theoretical and experimental probability.

Use probability and proportion to make predictions based on a survey.

Making Predictions Probability

Taking the probability of an event and predicting what a larger sample would result.

Use basic probability to make a prediction.

Step 1: Set up a proportion

Step 2: Use cross multiplication or equivalent fractions to solve.

Example:

You have 25 blocks in a bag. There are 15 red, 4 blue and 6 yellow blocks. If you pill a block out of the bag and replace it 200 times, how many times would you pull out a blue block?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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