Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
Building an exponential model
Build exponential models and compare them with linear models
Problem types
- Use an exponential model
- Choose the exponential rule
- Read a rate from an exponential base
- Simple and compound interest side by side
- Domain and range of an exponential function
- Compound interest and growth rates
- Choose an exponential model
- Enter an exponential value
- Graph an exponential function by placing points
- Equivalent exponential models
- Read the parts of an exponential model
- Read the starting value of an exponential model
- Time for an exponential model to reach a target value
- Choose a monthly growth form or a half-life decay model
- Choose the true statement about an exponential model through three graphed points
- Show the work: the time an exponential model takes to reach a target
Builds on
- Rules for a geometric sequence
- Percent increase and decrease
- Reading slope and intercept in context · Useful idea
Equal ratios in a table, or a curved residual plot that a line cannot remove, show data that follow an exponential model. Building that model means finding its starting value and growth factor.
- Working in scientific notation · Useful idea
Quantities that change by factors of ten, such as populations or decay, are written on a scale with powers of ten.
- Income tax, budgets, and net worth · Useful idea
Compound interest on a loan or savings is an exponential model with a growth factor each period.
- Profit, cost, and taxes · Earlier idea
Money that earns interest grows by a percent of what is there, so unlike fixed saving it follows an exponential model.
Leads to
Related skills
- Sums of a finite geometric sequence · Shared foundations
Open the interactive map to explore lessons and skill connections.