**Title:** Exponents and Division

**Description:**
This activity will introduce the exponent and division rule, the zero exponent rule, and the negative exponent rule. Students will make a human fraction to discover the division rule for exponents. The lesson will also introduce various interactive sites for reviewing exponent rules.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) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2]

**Subject:**Mathematics (9 - 12)

**Title:**Exponents and Division

**Description:**This activity will introduce the exponent and division rule, the zero exponent rule, and the negative exponent rule. Students will make a human fraction to discover the division rule for exponents. The lesson will also introduce various interactive sites for reviewing exponent rules.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** You Mean ANYTHING To The Zero Power Is One?

**Description:**
This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
**Standard(s): **

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

**Title:**You Mean ANYTHING To The Zero Power Is One?

**Description:**This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.

**Title:** Strong Arm Iteration

**Description:**
This reproducible worksheet, from an Illuminations lesson, guides students as they take a three-digit number, cube its digits and add them. They do the same with the sum and continue the process until they notice a pattern.
**Standard(s): **

[MA2015] DM1 (9-12) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)

**Subject:**Mathematics

**Title:**Strong Arm Iteration

**Description:**This reproducible worksheet, from an Illuminations lesson, guides students as they take a three-digit number, cube its digits and add them. They do the same with the sum and continue the process until they notice a pattern.

**Thinkfinity Partner:**Illuminations

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

**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.
**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:**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

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

**Title:** Stacking Squares

**Description:**
This Illuminations lesson prompts students to explore ways of arranging squares to represent equivalences involving square- and cube-roots. Students explanations and representations (with their various ways of finding these roots) form the basis for further work with radicals.
**Standard(s): **

[MA2015] AL1 (9-12) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2]

**Subject:**Mathematics

**Title:**Stacking Squares

**Description:**This Illuminations lesson prompts students to explore ways of arranging squares to represent equivalences involving square- and cube-roots. Students explanations and representations (with their various ways of finding these roots) form the basis for further work with radicals.

**Thinkfinity Partner:**Illuminations

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