Make a conjecture

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Students make a conjecture about how the intensity of light changes as a function of the depth of the ocean. A video clip is used to prompt thinking, and students propose a graph that represents light intensity vs. depth. Illuminations provides an overhead transparency, a link to the “Shedding the Light” video clip and detailed instructions for completing the lesson.

Students will:

• Explore exponential models in context.

NCTM Standards and Expectations:

• Understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions.
• Generalize patterns using explicitly defined and recursively defined functions.
• Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior.

North Carolina Curriculum Alignment