ALGEBRA 2
This course reinforces and expands on ideas coming out of Algebra 1,
then builds on these and incorporates ideas from Geometry and becomes
a preparation for Trigonometry.
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Students learn about real numbers and graphs of real numbers
Students will work with the properties of reals
Students work wit sums, differences, products and quotients of reals
Students will solve equations in one variable
Students solve inequalities
o With one variable
o Combined inequalities
o Inequalities with absolute value
o Problems solving with inequalities
Students will work with equations with two variables
Students will graph equations with two variables
Students will find the slope
Students will learn to write equations of lines
Students will solve systems of equations
Students will graph linear inequalities
Students will lean how to solve functions
Students will work with linear functions
Students will study relations
Students will learn to work with polynomials
Students will study the laws of exponents
Students will learn to multiply polynomials
Students will factor polynomials
Students will solve polynomials
Students will solve polynomial inequalities
Students will work with quotients of monomial terms
Students will work with negative exponents
Students will work with scientific notation and significant digits
Students will work with expressions and equations with variables on the top and/or bottom
of the fractions
Students will work with radicals and learn to handle radicals that contain0
o Perfect squares
o Taking out perfect squares
o Variables
o Adding subtracting, and multiplying radicals
o Doing all of the above with negatives under the radicals
Students will be taught to convert repeating and nonrepeating decimals to fractions
Students will work with complex numbers
o Adding, subtracting, and multiplying
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students will simplify fractions with radicals and imaginary numbers in the denominator
Students will learn to solve quadratics that are not factorable by
o Completing the square
o Use of the quadratic formula
Students will work with equations in quadratic form
Students will write quadratic equations
Students will study direct, inverse and joint variation
Students will divide polynomials using
o Long division
o Synthetic division
Students will use synthetic division to explore roots of polynomials
Students will learn linear interpolation
Students will study distance and midpoint
Students will learn to graph and write equations of
o Circles
o Ellipses
o Hyperbolas
o Parabolas
 All of the above at the origin and other points in the coordinate plane
Students will solve quadratic systems
Students will learn to work with rational and real exponents
Students will study composite functions
Students will gain knowledge of logs
o How to write and solve
o Laws of logs
o Applications
o Natural logarithms
Students will learn about different types of sequences
o Arithmetic
o Geometric
o Neither (but there is a pattern)
Students will write equations to find sequences
Students will find sums of sequences
Students will gain knowledge of series and sigma notation
Students will learn how to do a general binomial expansion
AS TIME PERMITS
- Students will learn about angles and degree measurements
- Students will learn about the trig functions as related to triangles
- Students will learn about the laws of sine and cosine for nonright triangles
- Students will learn to find the area of nonright triangles
- Students may study about sin and cos as it is related to circles
o Basic graphing
o Amplitude and period
o Students may study trig identities
o Students may also look briefly at vectors, matrices, or some simple statistics
CULTURAL DIVERSITY – Students will complete multicultural worksheets
WRITING ACROSS THE CURRICULUM – Students will be asked to define terms and
processes on tests and quizzes.