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Quality Standard #1: Understand Linear Equations and Inequalities
1.1 The students will understand how to determine the equation of a line or inequality
 Recognize standard form point slope form slope intercept form of a linear
equation/inequality
 Write the equation of a line in various forms (given a graph of a line, given 2
points, given the point and slope)
 Use the relationship of perpendicular and parallel lines to write equations
 Using a set of data find the equation of the line of best fit
 Use the direct variation model to write equations
1.2 Students will understand how to graph linear equations and inequalities.
 Use a variety methods to graph linear equations and inequalities (may include
slope and y intercept, x and y intercept, point slope, table of values)
 Using direct variations
 Use of solid and dotted lines and regions
1.3 Students will understand how to solve linear equations and inequalities.
 Solve a linear compound inequality (3< x+2 < 7; AND; OR)
 From a graph
 Algebraically
 Solve for a specific variable
Quality Standard #2 – Understands quadratic equations.
2.1 Students will understand how to graph quadratic equations.
 Using table of values
 Standard form - Ax2 + Bx + C = y
 Vertex form - y = a(x-h)2 + k
 Basic understanding of the characteristics of a parabola (max, min, vertex, line of
symmetry)
2.2 Students will understand how to solve quadratic equations.
 Factoring and zero factor theorem
 Completing the square
 Square root method; extracting the square root (x2=9)
 Quadratic Formula
 Graphing
 Use the discriminant to determine the number and type of roots
Quality Standard #3: Understand patterns, relations, and functions.
3.1 Students will understand the language of functions.
 Definition
 Functional notation
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Recursion and Iteration
Domain and range
3.2 Students will understand the operations of functions.
 Add, Subtract, Multiply, and Divide
 Evaluate functions
 Composition
 Inverse of a relation/simple function
3.3 Students will understand how to graph functions and simple inverses.
 Understands and uses vertical and horizontal line test
 Transformations
Quality Standard #4: Understand polynomial equations and expressions.
4.1 Students will understand the operations of polynomials.
 Add, Subtract, Multiply and Divide
 Simplify by factoring
 Property of exponents
4.2 Students will understand the language of polynomials.
 Definition
 Identify the type of polynomial by the term and degrees
 Zeros, roots, and/or solutions
4.3 Students will understand how to solve polynomials.
 Factoring
 Graphing
4.4 Students will understand the nature of the graph of polynomials.
 Recognize the graph of y=x2 and y=x3
Quality Standard # 5: Understand special expressions/functions: Rational, Radical and
Absolute Value
5.1 Students will understand operations of rational and radical expressions.
 Add, Subtract, Multiply, and Divide
 Simplify expressions including complex fractions
 Definition and use of rational exponents
5.2 Students will understand the language of special expressions/functions.
 Definition/properties of a rational expressions/functions
 Definition/properties of a radical expressions/functions
 Definition/properties of an absolute value function ( x  a ; x  a )
5.3 Students will understand how to solve special functions.
1
 Graphing (y= x ; y= ; y= x )
x
 Algebraically
Quality Standard #6: Understand systems of 2 linear equations and inequalities.
6.1 Students will understand the language of systems of equations and inequalities.
 Consistent, Inconsistent, Independent, Dependent
6.2 Students will understand how to solve systems of equations and inequalities.
 Graphically
 Algebraically
o Substitution
o Elimination
6.3 Students will understand how to solve systems of compound inequalities.
Quality Standard #7: Understand complex numbers.
7.1 Students will understand the language of complex numbers.
 Definition
 Imaginary
 Standard form
 Conjugate
7.2 Students will understand the basic operations of complex numbers.
 Add, Subtract, Multiply, and Divide
 Cyclic powers of i
NICE to Knows
 Power Function
 Conic Sections
 Logs/Exponential functions
 Basic trig functions
 Sequences/Series
 Matrices
 Set notation
 Graphs of complex numbers
 Discontinuous ties to asymptotes
 Factor Theorem
 Fundamental Theorem of Algebra
 Descarte’s rule
 Rational Root Theorem
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
Probability and Statistics
Systems – 3 equations, 3 unknowns