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## Monday, July 14, 2014

### Essential Questions for Algebra 2

Pssst....Anna....here's what we have so far.

Sequences and Series
• What kinds of patterns commonly arise in our world?
• Why is it sometimes desirable to describe a pattern mathematically?
• When we notice a real-world or mathematical pattern, what are some different ways in which we can describe it?
• How is it possible to keep getting closer and closer to something, but never actually touch it?
Probability and Statistics
• How can I use probability and statistics to make predictions and decisions that will benefit me in life?
• How should I interpret statistical information about myself and that I see in the news?
• What is the bell curve, why does it appear in many aspects of society, why is understanding it so important to our society?
• What are are some more sophisticated ways of counting, and when are they useful?
Intro to Functions
• How are functions used to represent/simulate the world we live in, and why are they so important?
• How do functions help us to make the best decision?
• What are some different kinds of functions, and what sorts of real-world situations can they model?
• Why is the idea of "inverse" so important in mathematics?
• How are quadratic functions used to understand/represent the Universe we live in?
• How can writing a mathematical statement in different but equivalent ways highlight its various features?
• Often, solving problems involves making choices. How can we make smart choices for any problem?
Polynomials
• How are polynomial functions used to understand/represent the Universe we live in?
• How are all the different representations of a polynomial function related?
Rationals
• How are rational functions and different types of variation used to understand/represent the Universe we live in?
• How is it possible to keep getting closer and closer to something, but never actually touch it?