PA Reporting Category: Mathematics
PA Core Standards: CC.2.4.HS.B.5: Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.
Assessment Anchor: n/a
Descriptor: n/a
Eligible Content: n/a
Alternate Eligible Content Code: CC.2.4.HSB5a
Alternate Eligible Content: Draw a conclusion about data presented in a two-way table representing a real world problem
Alternate Eligible Content - Coded

  • Two-way table
/
  • Draw conclusions
/ Context
  • Real world problem

Definition notes: Two-way table: One table that shows the relationship between two sets of categorical variables.
Intent Statement: Use summary data combining two characteristics to make decisions about a real world problem.
  1. Most Complex Level (at the level as written):
  • Content target: When shown a two-way table the student will use data to make decisions to answer a real world problem.
  • Example: Show the below two-way table to the student and explain that boys and girls were asked which subject they preferred, Math or Reading. Then ask the student: (1) How many boys vs girls were asked this question? (2) Find Reading. What can you tell me about the reading when you look at the boys and the girls?
Favorite Subjects
MATH / READING / TOTAL
BOYS / 12 / 10 / 22
GIRLS / 9 / 14 / 23
  1. Mid-Complex Level:
  • Content target: When shown a two-way table the student will use data to make decisions to answer a real world problem.
  • Example: Let’s look at the table together (point to the table and count to enhance understanding). This table shows that boys and girls answered the question, “What’s your favorite class at school math or reading? Each block shows how many students liked Math and Reading. (1) How many boys like Math? (2) How many girls like Math? (3) How many girls like Reading? (4) How many boys like Reading? (6) Listen and look at the table. Tell me which one is right? (read the statements below). How do you know? (Use response types that are appropriate to your student).
  1. More boys like reading than girls.
  2. More girls like reading than boys.
  3. Teachers like to read more than girls.
Favorite Subjects
MATH / READING
Boys /
8 / 2
Girls /
4 /
6
  1. Least Complex Level:
  • Content target: When shown a simplified two-way table the student will use data to make decisions to answer a real world problem.
  • Example: Show table and explain that boys and girls were ask if they like snacks. Count how many boys and how many girls like snacks. Then ask, “Who likes snacks more, boys or girls?” The student can point or use an oral, sign, or other appropriate response. How do you know? Beware of using response cards that result in a matching a response which is not the intent of this item.