Virginia SOL 8.PFA.2
SOL Standard (Knowledge and Skills Cluster)
The student will determine whether a given relation is a function and determine the domain and range of a function.
Virginia Standards of Learning for Mathematics
Cluster contents
Knowledge and Skills in This Standard
8.PFA.2 is a Standards of Learning standard. These are the knowledge and skills expectations under it.
- 8.PFA.2.a
Determine whether a relation, represented by a set of ordered pairs, a table, or a graph of discrete points is a function. Sets are limited to no more than 10 o...
- 8.PFA.2.b
Identify the domain and range of a function represented as a set of ordered pairs, a table, or a graph of discrete points.
Teacher's field guide
What This Cluster Means
What Students Need to Do
- Students match each input to its output and check whether any input is paired with more than one output. They list distinct input values as the domain and distinct output values as the range.
What Mastery Looks Like
- A student can check ordered pairs, tables, and discrete graphs for inputs paired with different outputs. They correctly accept repeated outputs and list each domain and range value once.
Common Misconceptions
- Students often think repeated outputs mean a relation is not a function. They may switch domain and range or list repeated values more than once. On graphs, they may include values between the plotted points.
How to Assess It
- Give an exit ticket with A = {(-2, 1), (0, 3), (4, 1)} and B = {(1, 2), (1, 5), (3, 6)}. Students identify each function and give the domain and range of A.
Lesson moves
Ways to Teach It
Give students input and output cards to connect with string, then identify repeated inputs, the domain, and the range.
Display {(1, 4), (2, 4), (3, 5)} and ask students to explain why repeated outputs do not prevent a function.
Run a Function or Not card sort with ordered-pair, table, and discrete-graph cards, requiring domain and range on every function card.
Use a vending-machine table of item codes and prices to decide whether the relation is a function and list its domain and range.
Free download
Printable 8.PFA.2 Worksheet
A ready-to-print activity worksheet aligned to 8.PFA.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
Turn this cluster into a lesson
Grade, subject, topic, and the complete cluster are prefilled. Create one free, no account needed.