**Title:** Fibonacci Poetry

**Description:**
Students will review the Fibonacci sequence and compose poems with the number of syllables in each line corresponding to the the numbers of that sequence.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]

**Subject:**English Language Arts (9), or Mathematics (9 - 12)

**Title:**Fibonacci Poetry

**Description:**Students will review the Fibonacci sequence and compose poems with the number of syllables in each line corresponding to the the numbers of that sequence.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** Marathon Math

**Description:**
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.
**Standard(s): **

**Subject:**English Language Arts (9), or Mathematics (9 - 12), or Technology Education (9 - 12)

**Title:**Marathon Math

**Description:**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:** Symbolic Analysis

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They work to find additional equations and formulas to represent the data.
**Standard(s): **

[MA2015] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]

**Subject:**Mathematics,Science

**Title:**Symbolic Analysis

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They work to find additional equations and formulas to represent the data.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Recursive and Exponential Rules

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students determine recursive and exponential rules for various sequences.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Mathematics

**Title:**Recursive and Exponential Rules

**Description:**In this lesson, one of a multi-part unit from Illuminations, students determine recursive and exponential rules for various sequences.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8,9,10,11,12

**Title:** Numerical Analysis

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models.
**Standard(s): **

[MA2015] DM1 (9-12) 3: Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama)

**Subject:**Mathematics,Science

**Title:**Numerical Analysis

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Hearing Music, Seeing Waves

**Description:**
This reproducible pre-activity sheet, from an Illuminations lesson, presents summary questions about the mathematics of music, specifically focused on sine waves and the geometric sequences of notes that are an octave apart.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Arts,Mathematics

**Title:**Hearing Music, Seeing Waves

**Description:**This reproducible pre-activity sheet, from an Illuminations lesson, presents summary questions about the mathematics of music, specifically focused on sine waves and the geometric sequences of notes that are an octave apart.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Vigenere Cipher

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Mathematics

**Title:**Vigenere Cipher

**Description:**In this lesson, one of a multi-part unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Vigenere Grid

**Description:**
This reproducible transparency, from an Illuminations lesson, depicts a Vigenere Grid, which is used for encoding a message using a polyalphabetic cipher.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Mathematics

**Title:**Vigenere Grid

**Description:**This reproducible transparency, from an Illuminations lesson, depicts a Vigenere Grid, which is used for encoding a message using a polyalphabetic cipher.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Counting Trains - Fibonacci

**Description:**
In this lesson, students use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students make algebraic connections by writing rules and representing data in tables and graphs.
**Standard(s): **

[MA2015] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]

**Subject:**Mathematics

**Title:**Counting Trains - Fibonacci

**Description:**In this lesson, students use Cuisenaire Rods to build trains of different lengths and investigate patterns. Students make algebraic connections by writing rules and representing data in tables and graphs.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Golden Ratio

**Description:**
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)

**Subject:**Mathematics

**Title:**Golden Ratio

**Description:**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.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Fractal Tool

**Description:**
This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Mathematics

**Title:**Fractal Tool

**Description:**This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9,10,11,12