Reciprocal and Exponential Graphs
Students will recognize and sketch the shapes of reciprocal (y=1/x) and simple exponential (y=a^x) graphs.
Key Questions
- Explain why a reciprocal graph has asymptotes.
- Differentiate between the growth patterns of linear, quadratic, and exponential functions.
- Predict the behavior of an exponential graph as x approaches positive or negative infinity.
National Curriculum Attainment Targets
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 Functional Relationships and Graphs
Gradient of a Straight Line
Students will calculate the gradient of a straight line from two points, a graph, or an equation, understanding its meaning.
2 methodologies
Equation of a Straight Line: y=mx+c
Students will find the equation of a straight line given its gradient and a point, or two points, using y=mx+c.
2 methodologies
Parallel and Perpendicular Lines
Students will identify and use the relationships between the gradients of parallel and perpendicular lines.
2 methodologies
Plotting Quadratic Graphs
Students will plot quadratic graphs from tables of values, recognizing their parabolic shape and key features.
2 methodologies
Roots and Turning Points of Quadratic Graphs
Students will identify the roots (x-intercepts) and turning points (vertex) of quadratic graphs.
2 methodologies