Title: Marathon Math
This unit on sequences and series is intended to help students make the connection from math to real life situations. Developing a marathon training program for a beginner runner is one simple way that students may use patterns in real life. The total mileage per week usually creates a pattern over time. Mathematical operations on patterns, sequences, and series enable students to do the calculations necessary for exploring the pattern. Students also explore nutrition information needed for a training program as proper nutrition is an important part of sports training.
Title: Golden Ratio
In this Illuminations lesson, students explore the Fibonacci sequence. They examine how the ratio of two consecutive Fibonacci numbers creates the Golden Ratio and identify real-life examples of the Golden Ratio.
Standard(s): [MA2015] MI1 (9-12) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
This student interactive, from an Illuminations lesson, allows students to see a representation of three geometric series and the harmonic series.
Standard(s): [MA2015] AM1 (9-12) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)