Algebra
II Honors
Susan Hebert
1.
Analyzing Equations and Inequalities
- Expressions and
Formulas
- Properties of
Real Numbers
- Solving Equations
- Solving Absolute
Value equations
- Solving
inequalities
- Solving Absolute
Value inequalities
- Statistics-Line
Plots, Stem-and-leaf, mean, median, and mode
2.
Graphing Linear Relations and Functions
- Relations and
Functions
- Linear Equations
- Slope
- Writing Linear
Equations
- Statistics-Scatter
Plots
- Special
Functions-Step function, greatest integer function, etc
- Linear
Inequalities
3.
Solving Systems of Linear Equations and Inequalities
- Graphing systems
of equations
- Solving systems
of equations algebraically, elimination and substitution
- Cramer’s Rule
- Graphing systems
of inequalities
- Linear
Programming
- Solving systems
of equations in three variables
4.
Exploring Polynomials and Radical Expressions
- Monomials
- Polynomials
- Dividing
Polynomials-Long division and synthetic division
- Factoring
- Roots of Real
numbers
- Radical
Expressions
- Rational
Exponents
- Solving Radical
Equations and inequalities
- Complex numbers
- Simplifying
expressions containing complex numbers
5.
Exploring Quadratic Functions and Inequalities
- Solving Quadratic
Equations by graphing
- Solving Quadratic
Equations by factoring
- Completing the
Square
- The Quadratic
formula and the discriminant
- Sum and Product
of Roots
- Analyzing the
Graphs of Quadratic Functions
- Graphing and
Solving Quadratic Inequalities
6.
Using Matrices
- An Introduction
to Matrices
- Adding and
Subtracting Matrices
- Multiplying
Matrices
- Matrices and
determinants
- Identity and
Inverse Matrices
- Using Matrices to
solve systems of equations
- Statistics-Box
and Whisker
7.
Investigating Discrete Mathematics and Probability
- The Counting
Principle
- Permutations
- Combinations
- Probability
8.
Exploring Polynomial Functions
- Polynomial
Functions
- The Remainder and
Factor Theorem
- Graphing
Polynomial Functions and Approximating Zeroes
- Roots and Zeros
- Rational Zero
Theorem
- Using Quadratic
Techniques to solve polynomial equations
- Composition of
functions
- Inverse Functions
and Relations
- Square Root
Functions and Relations
9.
Exploring Rational Expressions
- Graphing rational
functions
- Multiplying and
dividing rational expressions
- Adding and
Subtracting Rational Expressions
- Solving Rational
equations and Inequalities
10.
Exploring Exponential and Logarithmic Functions
- Real Exponents
and Exponential Functions
- Logarithms and
Logarithmic Functions
- Properties of
Logarithms
- Common Logarithms
- Natural
Logarithms
- Solving
Exponential Equations
- Growth and Decay