Maryland Math 8.DS.C.6

8.DS.C.6 is a cluster heading. These are the individual standards under it.

• 8.DS.C.6.a

  Represent the sample space for a compound event using organized lists, tables, or tree diagrams. Given an event described in everyday language, identify the out...

• 8.DS.C.6.b

  Determine the probability of a compound event as a fraction of outcomes in the sample space that result in the event.

01

What Students Need to Do

Students list every possible result when two chance actions happen, using an organized list, table, or tree diagram. They identify which results match a description such as “heads or an even number.” They write the probability as matching results over all equally likely results.

02

What Mastery Looks Like

A student makes a complete list with no missing or repeated results. They mark every result that fits an “and” or “or” rule, then give the correct fraction.

03

Common Misconceptions

Students may treat all possible sums from two dice as equally likely, even though some sums occur more often. They may leave out results that meet both parts of an “or” rule, or count those results twice.

04

How to Assess It

Ask: “Flip a fair coin and roll a fair six-sided die. List all outcomes, circle those that show heads or an even number, and write the probability.”

1. 01

   Roll red and blue dice, tally 20 pairs, then mark sums of seven on a 6-by-6 table and find the probability.

2. 02

   Ask partners, “Does heads or an even number include heads with an even number?” Have them defend their answers using a coin-and-die table.

3. 03

   Pairs list HH, HT, TH, and TT, choose a winning event, flip two coins, and compare their wins with the predicted probability.

4. 04

   For a shop with three equally likely fillings and two equally likely breads, list orders and find the chance of wheat or turkey.

• 7.DS.C.5.a

  Use data collection or simulation to approximate the probability of a chance event by observing its long-run relative frequency.

• 7.DS.C.6

  Develop and use probability models to find probabilities of events and compare them to observed results.