Family and learning-support guide
Exponential Functions & Growth Models
How do repeated multiplication, percent change, and continuous growth create exponential patterns and decisions?
What the learner will study
- Exponential Function Structure & Parameters
- Growth, Decay & Percent Change
- Compound Interest & Effective Rates
- Continuous Growth, Decay & the Constant e
- Solving Exponential Equations by Common Bases
- Exponential Regression & Data Modelling
- Comparing Linear, Quadratic & Exponential Models
How to support without taking over
- Ask the learner to define inputs, outputs, units, and domain.
- Ask which property or theorem justifies each transformation.
- Request an independent check by substitution, graph, table, or alternate method.
- Encourage correction notes rather than erasing evidence of learning.
- Use the calculator after the mathematical setup is visible.
Evidence to preserve
Keep one worked example, one correction, one application or project artifact, the mastery result, and a reflection explaining growth and next steps.
Applied investigation
Exponential Growth, Decay & Financial Scenario Audit asks the learner to define a real question, construct mathematics, validate results, state uncertainty, and communicate a defensible conclusion.
Open Investigation