Pssst....Anna....here's what we have so far.
- 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?
- 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?
- 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?
- How are polynomial functions used to understand/represent the Universe we live in?
- How are all the different representations of a polynomial function related?
- 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?
- How are radical functions used to understand/represent the Universe we live in?
- How can something that "doesn't exist" affect our world?
- How can we make sense of exponents that are not integers?
- How are exponential and logarithmic functions used to understand/represent the Universe we live in?
- Why does the graph of an exponential function have its shape? How is it possible to get closer and closer to something and never touch it?
- Why is the idea of "inverse" important in mathematics?
- How do you decide if a mathematical model is "good"?
- How can we use existing measurements to make predictions?
- What are some possible pitfalls of using mathematical models to make predictions?
