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 Lesson Plans (19) Learning Activities (1)

## ALEX Lesson Plans

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Subject: English Language Arts (9), or 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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Subject: Mathematics
Title: Counting Embedded Figures
Description: In this Illuminations lesson, students look for patterns in an embedded-square problem. After looking at the patterns, students form generalizations for the pattern. This activity sharpens students algebraic thinking and visualization skills.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: To Fret or Not to Fret
Description: In this unit of two lessons, from Illuminations, students explore geometric sequences and exponential functions by considering the placement of frets on stringed instruments. They study the placement of frets on a fretted instrument then use their discoveries to place frets on a fretless instrument.
Thinkfinity Partner: Illuminations

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Subject: Mathematics,Science
Title: Smokey Bear Takes Algebra
Description: In this lesson, from Illuminations, students learn about the many factors that play a role in creating a forest-fire danger rating index. They work with the Angstrom and Nesterov Indexes, explain the relationship between relative humidity and fire danger, and use graphing calculators to model the relationship between the slope of the land versus the rate of fire spread.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: Exploring Measurement, Sequences, and Curves with Stringed Instruments
Description: In this lesson, one of a multi-part unit from Illuminations, students measure lengths on stringed musical instruments. They discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: To Fret or...
Description: This reproducible activity, from an Illuminations lesson, features questions dealing with measuring distances on fretted stringed instruments.
Thinkfinity Partner: Illuminations

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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

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Subject: Arts,Mathematics
Title: Not to Fret
Description: This reproducible activity sheet, from an Illuminations lesson, presents a line drawing of a guitar's neck showing the location of the nut and the 12th fret. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: To Fret or Not to Fret
Description: This reproducible worksheet, from an Illuminations lesson, presents a series of questions related to fretted instruments and geometric sequences. In the lesson, students compare geometric sequences with exponential functions.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: Fretting
Description: In this lesson, one of a multi-part unit from Illuminations, students use their discoveries from the first lesson to place frets on a fretless instrument. They then compare geometric sequences with exponential functions.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: Seeing Music, Hearing Waves
Description: Using this reproducible activity sheet, from an Illuminations lesson, students calculate the frequencies of two octaves of a chromatic musical scale in standard pitch. They then experiment with different combinations of notes and related sine waves to observe why some combinations of musical notes sound harmonious and others have a dissonance.
Thinkfinity Partner: Illuminations

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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

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Subject: Arts,Mathematics
Title: Seeing Music, Hearing Waves: Selected Answers and Solutions
Description: This reproducible teacher sheet, from an Illuminations lesson, provides selected solutions to an activity in which students calculate the frequencies of two octaves of a chromatic musical scale in standard pitch. Students then experiment with different combinations of notes and related sine waves to observe why some combinations of musical notes sound harmonious and others have a dissonance.
Thinkfinity Partner: Illuminations

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Subject: Arts,Mathematics
Title: Seeing Music
Description: In this Illuminations lesson, students calculate terms of a geometric sequence to determine frequencies of the chromatic scale. They then compare sine waves to see and hear the trigonometry behind harmonious and dissonant note combinations.
Thinkfinity Partner: Illuminations

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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

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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

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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

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Subject: Health,Mathematics
Title: Make a Conjecture
Description: In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context. They are asked to think about the mathematics involved in determining the amount of blood being pumped by a heart.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Exact Ratio
Description: This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
Thinkfinity Partner: Illuminations