Introduction to Functions
Students will explore the concept of a function, distinguishing it from a relation. They will learn to use function notation and determine the domain and range of various relations.
About This Topic
Students will explore the concept of a function, distinguishing it from a relation. They will learn to use function notation and determine the domain and range of various relations.
Key Questions
- What defines a mathematical function?
- How do we determine the domain and range of a relation?
- Why is function notation useful?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for 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.
More in Characteristics of Functions
Inverse Functions
This topic introduces the concept of inverse functions algebraically and graphically. Students will investigate how the domain and range of a function relate to its inverse.
8 methodologies
Transformations of Functions
Students will apply transformations to parent functions, including quadratics, square roots, and reciprocals. They will connect algebraic changes to graphical translations, stretches, and reflections.
8 methodologies