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Algebra - Functions and Transformations

01

Quadratic Functions and Parabolas

  • Is it a parabola? 

  • A derivation of the Quadratic Formula that does not involve completing the square  pdf doc

  • Quadratic models

02

Transformations of Functions

  • Arbitrary Functions

  • Elementary Functions

03

"Kitchen" Experiments

  • Real data that behaves well for function models

  • Let the units be your guide

04

Polynomials

  • Polynomials represent a number

  • Graphing factored polynomials and your name polynomial

  • Fitting polynomials to data

  • Finite differences

  • Optimization before calculus

05

Optimization (without calculus)

06

Trigonometry

  • Trigonometry and music (with a bit of physics)

  • Playing with SodaPlay

  • Data models and residuals

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