ALEX Lesson Plans
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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, GEMSU Project.
Standard(s): [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3]
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, GEMSU Project.
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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.
Thinkfinity Lesson Plans
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Title: Symbolic Analysis
Description:
In this lesson, one of a multipart 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): [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3]
Subject: Mathematics,Science Title: Symbolic Analysis
Description: In this lesson, one of a multipart 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
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Title: Recursive and Exponential Rules
Description:
In this lesson, one of a multipart unit from Illuminations, students determine recursive and exponential rules for various sequences.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Recursive and Exponential Rules
Description: In this lesson, one of a multipart unit from Illuminations, students determine recursive and exponential rules for various sequences. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Numerical Analysis
Description:
In this lesson, one of a multipart 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): [MA2013] DM1 (912) 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 multipart 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
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Title: Hearing Music, Seeing Waves
Description:
This reproducible preactivity 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): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Arts,Mathematics Title: Hearing Music, Seeing Waves
Description: This reproducible preactivity 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
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Title: Vigenere Cipher
Description:
In this lesson, one of a multipart unit from Illuminations, students learn about the polyalphabetic Vigenere cipher. They encode and decode text using inverse operations.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Vigenere Cipher
Description: In this lesson, one of a multipart 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
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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): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
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
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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): [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3]
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
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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 reallife examples of the Golden Ratio.
Standard(s): [MA2013] MI1 (912) 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 reallife examples of the Golden Ratio. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
ALEX Podcasts
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Title: Magic Squares
Overview:
This podcast shows what a magic square is and the varying differences between the different types. This podcast also shows how to make the simplest version of the magic square.There is an example of a sixteen cell square as well.It does not, however, show how to make a sixteen cell though.Finally, it shows how a magic square works. Standard(s):
[MA2013] AL1 (912) 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [FIF5]
Magic Squares Overview: This podcast shows what a magic square is and the varying differences between the different types. This podcast also shows how to make the simplest version of the magic square.There is an example of a sixteen cell square as well.It does not, however, show how to make a sixteen cell though.Finally, it shows how a magic square works.
Thinkfinity Learning Activities
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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): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
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

