Reciprocal Functions and Asymptotes
Investigating the properties of reciprocal functions (y=k/x) and the concept of asymptotes.
Key Questions
- Explain what happens to the graph of a reciprocal function as the input value approaches zero or infinity.
- Justify why certain functions never touch or cross specific lines known as asymptotes.
- Analyze how the constant 'k' affects the position and shape of a reciprocal graph.
MOE Syllabus Outcomes
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
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.
More in Functions and Graphs
Introduction to Functions
Defining functions, domain, range, and using function notation to represent relationships.
2 methodologies
Linear Functions and Graphs Review
Reviewing gradient, y-intercept, and different forms of linear equations (y=mx+c, ax+by=c).
2 methodologies
Quadratic Functions and Parabolas
Investigating the properties of parabolas including symmetry and turning points.
2 methodologies
Graphing Quadratic Functions
Plotting quadratic functions by creating tables of values and identifying key features.
2 methodologies
Graphs of Power Functions (y=ax^n)
Exploring the characteristics and graphical representation of power functions, including y=ax^3 and y=ax^n for simple integer values of n.
2 methodologies