7.6.B

Math7th Grade

The Standard

select and use different simulations to represent simple and compound events with and without technology

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students choose a physical or digital simulation that matches a chance event. They run repeated trials for simple or compound events, record outcomes, and use the results to estimate probability.

What Mastery Looks Like

A student can match an event to a spinner, number cube, card draw, table, or digital random generator. They can run repeated trials, record results, estimate probability, and explain why the model fits.

Common Misconceptions

Students may assume simulation outcomes must be equally likely, even when the event gives different probabilities. They may run too few trials, forget to replace an item, or model only one stage of a compound event.

How to Assess It

Give this exit ticket: “A player wins by rolling an even number and flipping heads. Choose a simulation, run 20 trials, record wins, and estimate the probability.”

Lesson moves

Ways to Teach It

  1. Place colored counters in a bag, have students model a simple draw and a two-draw event, then compare results after 30 trials.

  2. Ask students to explain whether a spinner or random number generator better models a carnival game with unequal prize chances.

  3. Give groups event cards and simulation tool cards, then award points for correct matches and clear explanations.

  4. Simulate whether two randomly selected students share a birth month, then discuss how planners might estimate attendance conflicts.

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