◊ This is a tentative schedule, based on my best estimate of how long things take. Topics may move or vanish.
◊ Because of the cumulative nature of some of the work, it is important to attend everything.
◊ We will start on time each day.
◊ Breakfast: 8:30 a.m. School day: 9:00 a.m. to 3:30 p.m.
Thursday
Morning
Iterating linear functions: introduction to dynamical systems
Staircase sums: teacher-level exploration of a problem with multiple entry points for students
Sequences and series, made more accessible and interesting by the above introduction
Iterating non-linear functions: chaos
Doctor Dimension: visualizing rate of change
Afternoon
Concrete introduction to functions:
Exponential, logarithmic
Trigonometric
Inverse variation
Square root, absolute value
A more accessible approach to transformations
Friday
Morning
Function diagrams: a parallel axes representation
Inverse function, composition of functions
Guess my function
Geometry of the parabola, using interactive geometry software
Construction, reflection property
All parabolas are similar
Conic section proof
Complex numbers: a kinesthetic and visual approach
Proof by mathematical induction, based on visual patterns and sequences
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