Subject
Grade
Big Idea
Algebra allows us to generalize relationships through abstract thinking.
Elaboration
- Sample questions to support inquiry with students:
- After solving a problem, can we extend it? Can we generalize it?
- How can we take a contextualized problem and turn it into a mathematical problem that can be solved?
- How do we tell if a mathematical solution is reasonable?
- Where can errors occur when solving a contextualized problem?
- What are the similarities and differences between quadratic functions and linear functions? How are they connected?
- What do we notice about the rate of change in a quadratic function?
- How do the strategies for solving linear equations extend to solving quadratic, radical, or rational equations?
- What is the connection between domain and extraneous roots?
keywords
generalize