CCSS.Math.Content.HSS-CP.A

CCSS.Math.Content.HSS-CP.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.HSS-CP.A.1

  Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or comple...

• CCSS.Math.Content.HSS-CP.A.2

  Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characte...

• CCSS.Math.Content.HSS-CP.A.3

  Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A gi...

• CCSS.Math.Content.HSS-CP.A.4

  Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample...

• CCSS.Math.Content.HSS-CP.A.5

  Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

01

What Students Need to Do

Students find probabilities involving two events, including the chance of one event given another. They decide whether events are independent and use probability rules to interpret data.

02

What Mastery Looks Like

Students correctly use two-way tables, tree diagrams, and formulas to find probabilities. They justify whether events are independent and explain what a conditional probability means in context.

03

Common Misconceptions

Students often confuse mutually exclusive events with independent events. They may reverse the condition in a conditional probability or add probabilities when they should multiply.

04

How to Assess It

Give this exit ticket: Of 100 students, 60 play a sport, 30 play an instrument, and 20 do both. Find P(instrument | sport) and decide whether the events are independent.

1. 01

   Draw colored counters from a bag with and without replacement, record outcomes, and compare how the first draw changes the second.

2. 02

   Ask students to explain whether being absent and missing an assignment are independent, including what data would support their claim.

3. 03

   Run a card sort matching probability situations with two-way tables, tree diagrams, calculations, and labels such as independent or mutually exclusive.

4. 04

   Use a month of weather forecasts and outcomes to calculate the probability of rain given that rain was forecast.

• CCSS.Math.Content.HSS-IC.A

  Understand and evaluate random processes underlying statistical experiments