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Grade 7 Math Student Workbook

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Grade 7 Math: Probability, Percent, and Rational Number Equivalence — Flashcards

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What is probability?A number between 0 and 1 that expresses the likelihood of a chance event occurring; larger numbers indicate greater likelihood.
What does a probability near 0 indicate?An unlikely event.
What does a probability near 1 indicate?A likely event.
What does a probability around ½ indicate?An event that is neither unlikely nor likely.
What is theoretical probability?The probability calculated based on the possible outcomes in a sample space, without conducting an experiment.
What is experimental probability?The probability estimated by collecting data on a chance process and observing its long-run relative frequency.
What is chance?The likelihood that a particular event will occur.
What is frequency?The number of times a particular outcome occurs in a data set or experiment.
What is an outcome?A possible result of a chance process or experiment.
What is a ratio?A comparison of two quantities; in this chapter, focus is on part:whole ratios (as opposed to part:part).
What is a fraction (in this context)?A part:whole relationship representing a portion of a whole, related to decimals and percents.
What is a decimal?A rational number form that can be found by dividing the numerator by the denominator of a fraction using long division; terminates in 0s or eventually repeats.
What is a percent?A ratio comparing a number to 100, representing a part:whole relationship.
7.NS.2dConvert a rational number to a decimal using long division; know that the decimal form terminates in 0s or eventually repeats.
7.NS.3Solve real-world and mathematical problems involving the four operations with rational numbers.
7.SP.5Understand that probability of a chance event is a number between 0 and 1 expressing likelihood of occurrence.
7.SP.6Approximate probability of a chance event by collecting data on the process and observing long-run relative frequency; predict relative frequency given the probability.
7.EE.3Solve multi-step real-life and mathematical problems with positive and negative rational numbers in any form, converting between forms as appropriate and checking reasonableness of answers.
Why does Chapter 1 begin with probability?To review/apply arithmetic with whole numbers and fractions, and to help foster a classroom culture of discussion, collaboration, and investigating real-world situations.
What relationship do fractions, decimals, and percents share?They are all relative to a whole (part:whole relationships) and can be converted between one another.
What is the difference between part:whole and part:part relationships?Part:whole relationships (like probability, fractions, decimals, percents) compare a part to the whole; part:part relationships (like "odds," studied in Chapter 4) compare one part to another part.

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