Applications of Sequences and Series
| Site: | Young Education |
| Cursus: | Sequences and Series |
| Boek: | Applications of Sequences and Series |
| Afgedrukt door: | Gast |
| Datum: | vrijdag, 25 september 2026, 02:38 |
1. Compound Interest and Investments
Learning outcomes
- I can explain how compound interest creates growth over time.
- I can identify geometric patterns in investment growth.
- I can calculate future values using repeated percentage increases.
- I can compare simple growth and compound growth.
- I can apply sequence concepts to financial situations.
2. Population and Resource Models
Learning outcomes
- I can identify situations involving population growth and decline.
- I can model population changes using sequences.
- I can interpret growth and decay patterns.
- I can make predictions using mathematical models.
- I can evaluate the limitations of population models.
3. Motion and Repeated Processes
Learning outcomes
- I can identify repeated processes that can be modeled using sequences.
- I can describe patterns of change in motion-related situations.
- I can use sequences to model repeated events or actions.
- I can interpret sequence models in scientific and technological contexts.
- I can explain how mathematical patterns help predict future outcomes.
4. Mathematical Modeling Project
Learning outcomes
- I can collect and organize data related to a real-world pattern.
- I can identify whether a pattern is arithmetic, geometric, or recursive.
- I can develop a mathematical model to describe a pattern.
- I can use my model to make predictions.
- I can communicate my findings using mathematical language and representations.
5. Capstone Sequences Investigation
Learning outcomes
- I can investigate a mathematical pattern independently.
- I can select appropriate mathematical tools to analyze a sequence or series.
- I can justify conclusions using evidence and calculations.
- I can communicate mathematical ideas clearly through written or visual presentations.
- I can reflect on how sequences and series connect to other areas of mathematics and the real world.