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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Fundamental Mathematics IV

(Too many days.)

1. (4 days) Introduction to Polynomial Expressions and Functions

(a) Definition
(b) Evaluation
(c) Domain/range
(d) Addition and subtraction (Be sure to give examples having fractional coeficients.)
(e) Multiplication
(f) (Long) Division (?)

2. (8 days) Factors, zeros, x-intercepts

(a) Why factor?

i. Analogs with integers
ii. Solving equations
iii. Connection between x-ints, factors, and solutions of equations (Have students gure it
out.)

(b) How to factor

i. Greatest common factor
ii. Simple trinomials
A. Perfect squares
B. misc
iii. Special binomials

(c) Applications: Back to connection between x-ints, factors, and solutions of equations

ii. Problem-solving with quadratic inequalities (Come at it from graphical point of view.)
iii. Problem-solving with systems of equations (?)

3. (6 days) Introduction to Rational Expressions and Functions

(a) Definition
(b) Evaluation
(c) Domain/range
i. Zeros (and factors of numerator)
ii. Vertical asymptotes (and factors of denominator)
iii. Horizontal asymptotes
(d) Simplification