Count Repeated Multiplications in Growth
A doubling model multiplies the current amount by two each period.
About 20 minutes, plus any extended practice
Open lesson 1Algebra1: Exponential Patterns and Geometric Sequences
An exponential pattern changes by a constant multiplicative ratio over equal input steps. This differs from a linear pattern’s constant addition and can model supplied growth, decay or ordered geometric sequence terms.
Before you begin
- Evaluate integer powers; interpret percent multipliers; read sequence subscripts.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Retain a Fraction of the Current Amount
A fixed percent decrease preserves the same fraction each period.
About 20 minutes, plus any extended practice
Open lesson 2Distinguish a Term Number from a Period Count
A geometric sequence multiplies each term by its common ratio.
About 20 minutes, plus any extended practice
Open lesson 3Compare Differences with Ratios
Equal-step outputs can be inspected for constant differences or constant nonzero ratios.
About 20 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- OpenStax mathematical topic reference: topic reference — Algebra1: Exponential Patterns and Geometric Sequences
These references informed the topic selection. They do not certify complete standards alignment.