Introduction to Functions: Input and Output
Students will understand functions as rules that assign a unique output to each input, using tables, graphs, and simple equations.
About This Topic
Students will understand functions as rules that assign a unique output to each input, using tables, graphs, and simple equations.
Key Questions
- How do the concepts of domain, codomain, and range precisely define a function, and why does the choice of domain affect whether a function is one-to-one?
- Under what conditions does a function possess an inverse, and how can you verify this both algebraically and graphically using the horizontal line test?
- Construct the composite function fg and determine the conditions on the domains of f and g that must hold for fg to be well-defined.
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Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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