ALG1.MATH.12.A
Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
relationsfunctionverbal representationtabular representationgraphical representationsymbolic representation
Skills
- analyze (relations in different representations) #dok2
- determine (whether a relation is a function) #dok2
- compare (multiple representations of relations) #dok2
- justify (why a relation is or is not a function) #dok3
Learning Targets
- I can identify functions from given relations. #dok1
- I can distinguish between relations and functions using definitions. #dok1
- I can analyze relations represented verbally, tabularly, graphically, and symbolically to determine if they define a function. #dok2
- I can compare different representations of relations to see if they define a function. #dok2
- I can justify why a relation is or is not a function using evidence from the representation. #dok3
Big Ideas
- Relations can be represented in multiple ways—verbally, with tables, graphs, or equations—and one must carefully examine the structure of the input-output pairing to determine if a relation is a function.
- Identifying functions from various representations builds understanding of how input-output relationships work and lays a foundation for studying more advanced algebraic concepts.
Essential Questions
- How can you tell if a relation is a function from a table, graph, equation, or verbal description?
- What is the difference between a relation and a function?
- Why is it important that each input in a function has exactly one output?
- In what ways might a relation fail to be a function?
- How do different forms of representation (verbal, tabular, graphical, symbolic) affect your ability to identify functions?