➕ 7th Grade Math · Unit 6

Probability

15 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 7.SP.C.5 7.SP.C.6 7.SP.C.7 7.SP.C.8

Picture from the lesson “Likelihood from Zero to One”
Likelihood from Zero to One
Picture from the lesson “Theoretical Probability”
Theoretical Probability
Picture from the lesson “Experimental Probability”
Experimental Probability

What your child will learn

Understanding probability

  1. Likelihood from Zero to OneDescribe probability as a number from zero for impossible to one for certain.
  2. Theoretical ProbabilityFind the probability of an event by dividing the number of favorable outcomes by the total outcomes when all outcomes are equally likely.
  3. Experimental ProbabilityFind experimental probability from the results of repeated trials.
  4. Predicting with ProbabilityUse probability to predict about how many times an event will happen in many trials.
  5. Understanding Probability Review ReviewReview describing probability, theoretical and experimental probability and predictions.

Probability models

  1. Uniform Probability ModelsBuild a probability model where every outcome is equally likely, like rolling a fair number cube.
  2. Models from Observed DataBuild a probability model from observed frequencies, like results of spinning a bottle cap.
  3. Comparing Models and ResultsCompare a model's predictions to actual results and explain possible reasons for differences.
  4. Probability Models Review ReviewReview uniform and data-based probability models and comparing them with results.

Compound events

  1. Sample SpacesList the sample space for a compound event like flipping a coin and rolling a number cube.
  2. Tables and Tree DiagramsUse organized lists, tables and tree diagrams to show all outcomes of a compound event.
  3. Probability of Compound EventsFind the probability of a compound event as the fraction of outcomes in the sample space where it happens.
  4. SimulationsDesign and use a simulation, like drawing cards or random numbers, to estimate the probability of a compound event.
  5. Compound Events Review ReviewReview sample spaces, tree diagrams, compound probability and simulations.
  6. Unit 6 test: ProbabilityShow what you learned in the whole unit (Understanding probability, Probability models, Compound events) by answering mixed questions.

Try a question from this unit

From the lesson “Likelihood from Zero to One”

Which number could NOT be the probability of an event?

  • 0
  • 0.9
  • 1.2
  • 1/2
Show the answer

1.2. Every probability is between 0 and 1, and 1.2 is greater than 1, so it is not a probability. The number 0 is allowed; it means the event is impossible.

Hint kids see after a wrong try: “Think about where the probability scale starts and where it ends.”

Key words

  • probability
  • impossible
  • certain
  • outcome
  • event
  • favorable
  • experimental probability
  • trial
  • relative frequency
  • prediction
  • probability model
  • uniform
  • frequency
  • discrepancy
  • sample space
  • compound event
  • tree diagram
  • organized list
  • compound probability
  • simulation

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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