Course Title: Algebra 2 (Updated 2010-2011)
School/District: New Berlin CUSD 16
Grade:11
Chapter 0: Preparing for
Advanced Algebra
Concepts/Topics
Chapter 1: Equations and
Inequalities
Concepts/Topics
Chapter 2: Linear Relations and
Functions
Concepts/Topics
Chapter 3: Systems of
Equations and Inequalities
Concepts/Topics
0.1 Representing Functions
0.2 FOIL
0.3 Factoring Polynomials
0.6 Congruent and Similar Figures
0.7 The Pythagorean Theorem
1.1
1.2
1.3
1.4
2.1 Relations and Functions
2.2 Linear Relations and
Functions
2.3 Rate of Change and Slope
2.4 Writing Linear Equations
2.5 Scatter Plots and Lines of
Regression
2.7 Parent Functions and
Transformations
2.8 Graphing Linear and Absolute
Value Inequalities
3.1 Solving Systems of Equations
by Graphing
3.2 Solving Systems of Equations
Algebraically
3.3 Solving Systems of
Inequalities by Graphing
Skills
Skills
Skills
1.1 Use the order of operations to
evaluate expressions
(6BC.11.04, 6BC.11.13
8A.11.06)
1.1 Use formulas (8A.11.02)
1.2 Classify real numbers
(6A.11.01)
1.2 Use the properties of real
number to evaluate
expressions (6BC.11.11,
8A.11.06)
1.3 Translate verbal expressions
into algebraic expressions and
equations and vice
versa(8A.11.02, 8A.11.06,
6BC.11.13 )
2.1 Analyze relations and
Functions (8CD.11.14,
8BC.11.22)
2.1 Use Equations of relations and
functions (8CD.11.16)
2.2 Identify linear equations and
functions (8B.11.08, 8A.11.03)
2.2 Write linear equations in
standard form and graph them
(8B.11.11, 8B.11.10,
8BC.11.22)
2.3 Find and use the slope of a line
(8B.11.09, 8.11.04, 8B.11.05)
2.4 Write an equation of a line
given the slope and a point on
the line (8B.11.07)
3.1 Solve systems of linear
equations by graphing
(8CD.11.15, 8CD.11.17)
3.1 Determine whether a system of
linear equations is consistent
and independent, consistent and
dependent, or inconsistent.
(8CD.11.15, 8CD.11.17 )
3.2 Solve systems of linear
equations by using
substitution(8CD.11.158CD.11.
17, )
3.2 Solve systems of linear
equations by using
elimination(8CD.11.15,
8CD.11.17)
Skills
0.1 Identify the domain and
range of functions
0.2 Use the FOIL method to
multiply binomials
0.3 Use various techniques to
factor polynomials
0.6 Identify and use congruent
and similar figures
0.7 Use the Pythagorean
theorem and its converse
Expressions and Formulas
Properties of Real Numbers
Solving Equations
Solving Absolute Value
Equations
1.5 Solving Inequalities
1.6 Solving Compound and
Absolute Value Inequalities
1.3 Solve equations using the
properties of equality
(8A.11.01. 6BC.11.13,
6BC.11.05)
1.4 Evaluate expressions
involving absolute
values(6A.11.02, 6.11.16)
1.4 Solve absolute value
equations(8CD.11.14,
6.11.16)
1.5 Solve Inequalities
(8CD.11.16)
1.5 Solve real-world problems
involving inequalities (8A.11.02
6BC.11.13 )
1.6 Solve compound inequalities
(8CD.11.16)
1.6 Solve absolute value
inequalities (8CD.11.16,
6.11.16)
2.4 Write an equation of a line
parallel or perpendicular to a
given line (8B.11.07)
2.5 Draw scatter plots and lines of
regression (8B.11.07, 8B.11.13)
2.5 Find and use prediction
equations (8B.11.07, 8B.11.10,
8B.11.13)
2.7 Identify and use parent
functions
2.7 Describe transformations of
functions
2.8 Graph linear inequalities
(8B.11.08, 8B.11.07)
2.8 Graph absolute value
inequalities (8B.11.08,
8B.11.07, 8A.11.03)
3.3 Solve systems of inequalities
by graphing(8CD.11.15, )
8CD.11.17
3.3 Determine the coordinates of
the vertices of a region formed
by the graph of a systems of
inequalities(8CD.11.15,
8CD.11.17)
Course Title: Algebra 2
School/District: New Berlin CUSD 16
Chapter 4: Matrices
Concepts/Topics
4.1 Introduction to Matrices
4.2 Operation with Matrices
Skills
4.1 Organize data in
matrices(6BC.11.12, 6.11.03)
4.1 Solve equations involving
matrices(6BC.11.12)
4.2 Add and subtract
matrices(6BC.11.12)
4.2 Multiply by a matrix
scalar(6BC.11.12)
Grade:11
Chapter 5:Quadratic Functions
and Relations
Concepts/Topics
5.1 Graphing Quadratic Functions
5.2 Solving Quadratic Equations
by graphing
5.3 Solving Quadratic Equations
by Factoring
5.4 Complex Numbers
5.5 Completing the Square
5.6 The Quadratic Formula and
the Discriminant
5.7 Transformations with
Quadratic Functions
Skills
5.1 Graph quadratic functions
(8B.11.08, 8A.11.03, 8B.11.10)
5.1 Find and interpret the
maximum and minimum values
of a quadratic
function(8B.11.08,8A.11.04,
8B.11.10 )
5.2 Solve Quadratic equations by
graphing
5.2 Use graphing technology to
solve quadratics
5.3 Solve quadratic equations by
factoring (8CD.11.18)
5.3 Write quadratic equations in
Chapter 6: Polynomials and
Polynomial Functions
Concepts/Topics
6.1 Operations with Polynomials
6.2 Dividing Polynomials
6.3 Polynomial Functions
6.4 Analyzing graphs of
polynomial functions
Skills
6.1Multiply, divide, and simplify
monomials and expressions
involving powers
6.1 Add, subtract, and multiply
polynomials
6.2 Divide polynomials using
long division
6.2 Divide polynomials using
synthetic division
6.3 Evaluate polynomial
functions
6.3 Identify general shapes of
graphs of polynomial functions
6.4 Analyzing Graphs of
Chapter 7: Inverses and
Radical Functions and
Relations
Concepts/Topics
7.1 Operations on Functions
7.2 Inverse Functions and
Relations
7.3 Square Root Functions and
Inequalities
7.4 nth roots
7.5 Operations with Radical
Expressions
7.6 Rational Exponents
7.7 Solving Radical Equations
and Inequalities
Skills
7.1 Find the sum, difference,
product, and quotient of
functions
7.1 Find the composition of
function
7.2 Find the inverse of a function
or relation
7.2 Determine whether two
functions or relations are
inverses
7.3 Graph and analyze square root
functions
7.3 Graph square root inequalities
7.4 Simplify radicals
standard form
5.4 Perform operations with pure
imaginary number
5.4Perform operations with
complex numbers
5.5 Solve Quadratic equations by
using the square root property
5.5 Solve quadratic equations by
completing the square
5.6 Solve quadratic equations
using the Quadratic Formula
(8CD.11.18)
5.6 Use the discriminant to
determine the number and type
of roots of a quadratic
equation(8CD.11.18)
5.7 Write a quadratic function in
the vertex form
5.7 Transform graphs of quadratic
functions in vertex form
Polynomial Functions
6.4 Find the relative maxima,
minima of polynomial functions
7.4 Use a calculator to
approximate radicals
7.5 Simplify radical expression
7.5 Add, subtract, multiply, and
divide radical expressions
7.6 Write expressions with
rational exponents in radical
form and vice versa
7.6 Simplify expressions in
exponential or radical form
7.7 Solve equations containing
radicals
7.7 Solve inequalities containing
radicals
Course Title: Algebra 2
School/District: New Berlin CUSD 16
Chapter 12: Probability and
Statistics
Concepts/Topics
12.2 Statistical Analysis
12.3 Conditional Probability
Skills
12.2 Use measures of central
tendency and variation
12.2 Explore measures of
variation
12.3Find probabilities of events
given the occurance of other
events
12.3 Use contingency tables to
find conditional probabilities
Grade:11
Chapter 13: Trigonometric
Functions
Concepts/Topics
13.1 Trigonometric Functions in
Right Triangles
13.2 Angles and Angle Measure
Chapter 9: Rational Functions
and Relations
Concepts/Topics
9.1 Multiplying and Dividing
Rational Expression
9.2 Adding Subtracting Rational
Expressions
9.5 Variation Functions
9.6 Solving Rational Equations
and Inequalities
Skills
Skills
13.1 Find values of trigonometric
functions for acute angles
13.1 Use trigonometric functions
to find side lengths and angle
measures of right triangles
13.2 Draw and find angles in
standard position
13.2 Convert between degree
measures and radian measures
9.1 Simplify Rational expressions
9.1 Simplify complex fractions
9.2 Determine the LCM of
polynomials
9.2 Add and subtract rational
expressions
9.5 Recognize and solve direct
and joint variation problems
9.5 Recognize and solve inverse
and combines variation
9.6 Solve rational equations
9.6 Solve rational inequalities
Skills