## Precalc Notes

 Functions, Vocabulary Quadratic Functions Exponent & Log Laws Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle" Calculator Resources Rationals Trig Functions, "Unit Circle & On" Lines Log & Exponential Functions Trig Cheat Sheet

## Lines

Notes
LINES -- Notes, Discussion, Activities
Line Vocabulary

Games or Manipulatives
"Worn for Work -- Solve Systems of Equations" Connect the Dots
Who Has? Lines Game Cards

 Spread Sheets -- Dynamic Computation graph.xls linear.xls for: graphs, slope
 Forms Web Pages -- Dynamic Computation Slope Song -- hear different slopes
 Sketch Pads -- Dynamic Analytic Geometry line   -- slide points A and B and generate equation of the line in 4 forms.

Notes
Quadratic Equation, Formula, & The Discriminant
Completing the Square
A Line times a Line Is A Parabola
Solve a Quadratic by Completeing the Square Instructions gif
Squaring and Square Root Functions
To Create Other Functions
To Express Projectile Motion

Images
How the general equation y=ax2 + bx + c and the standard equation y=a(x-h)² +k relate

Games or Manipulatives
Oscar Reutersvard's Penrose Square -- Solve the quadratic. Connect the dots.
easy print pdf

 Sketch Pads -- Dynamic Analytic Geometry Parabols, Quadratic Functions parabola   -- Multi page: 2 parabolas: 1 in general form, 1 in standard forms,     * both generated by equations defined by parameters.     * WITH SHOW/HIDE ACTION BUTTON     * graphs of 2 parabolas: 1 in general form, 1 in standard forms,     * 1 parabola, set a, then generat parabola w/2 points.     * 1 parabola controlled by 3 points, used for determinant analysis     * 1 vertical axis of symmetry, 1 horizontal "axis of symmetry" TracePoly   -- drag point f(x) to state and show new ( x, f(x))
 Spread Sheets -- Dynamic Computation polynomial spreadsheet --     * graph polynomial function written in factored form     * complete synthetic division computation quadratic --     * enter a, b, c, get x1, x2, h, k     * enter a, h, k, get x1, x2, a, b, c, and the discriminant
 Forms Web Pages -- Dynamic Computation Computes Quadratic Equation, Formula, & Discriminant

 Functions, Vocabulary Quadratic Functions Exponent & Log Laws Orientation, ... Higher Order Polynomials Trig Functions, "Before Unit Circle" Calculator Resources Rationals Trig Functions, "Unit Circle & On" Lines Log & Exponential Functions Trig Cheat Sheet
 © 8/2019, A. (A2) Azzolino www.mathnstuff.com/math/precalc/pnotes2.htm