Financial Mathematics: Annuities and Loans
Using series to calculate the future value of annuities and the present value of loans.
Key Questions
- Why is an annuity modeled as a geometric series rather than a single exponential calculation?
- What is the mathematical cost of delaying a retirement investment by five years?
- Design a payment plan for a loan, justifying the chosen interest rate and payment frequency.
Ontario Curriculum Expectations
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Sequences and Series
Introduction to Sequences
Defining sequences, identifying patterns, and distinguishing between finite and infinite sequences.
2 methodologies
Arithmetic Sequences
Defining arithmetic sequences, finding the common difference, and deriving explicit and recursive formulas.
2 methodologies
Arithmetic Series
Calculating the sum of finite arithmetic series using summation notation and formulas.
2 methodologies
Geometric Sequences
Defining geometric sequences, finding the common ratio, and deriving explicit and recursive formulas.
2 methodologies
Geometric Series
Calculating the sum of finite geometric series and introducing the concept of infinite geometric series.
2 methodologies