Composition of Functions
Students investigate the composition of functions algebraically and graphically. They analyze how the output of one function becomes the input of another.
About This Topic
Students investigate the composition of functions algebraically and graphically. They analyze how the output of one function becomes the input of another.
Key Questions
- What does it mean to compose two functions?
- How does the order of composition affect the resulting function?
- How do we find the domain of a composite function?
Planning templates for Advanced Functions
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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