Common Core · High school
HSF-LE.B.5
High school — Interpret the parameters in a linear or exponential function in terms of a context.
The 2 skills that cover it
- Compound Interest & Exponential ModelsTurn a percent rate into a growth factor, compound it monthly, daily or continuously with e, and build the exponential model behind interest, population and half-life problems.Read the lesson →
- Piecewise Functions & ModellingBuild the function a situation needs: evaluate and write piecewise and step functions, find the average rate of change on an interval, turn a box, a fence or a price into a polynomial model, choose the right family, and use direct, inverse and joint variation.Read the lesson →
What a student should be able to do
- Write an exponential model from a starting amount and a percent growth or decay rate.
- Compute compound interest with n compounding periods per year, and continuous growth with e.
- Model half-life and population change, and find a growth factor from two readings.
- Compare models and rates, including the effective annual rate.
- Evaluate a piecewise or step function and match a description to its rule.
- Find the average rate of change of a function over an interval from a rule, a table or a graph.
- Build a polynomial or rational model from a described situation and use it to answer a question.
- Choose the function family a situation calls for, interpret its parameters, and solve direct, inverse and joint variation problems.