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FIRST QUARTER
Algebra 2 Basic
Textbook: Algebra 2 (2001) Holt, Rinehart and Winston (ISBN 0-03-052223-4)
Yearlong Reminders: Modeling, multiple representations of functions, multi-discipline context/tie-ins
New ILS
Common Core
Specific Topic
Teacher Resources
1. Algebra 1 Review: Functions
F.IF9
 Survey of functions: linear, absolute value, exponential,
quadratic
 Translate among different representations of a function:
equation, graph, table, application
 Compare 2 linear functions represented in different ways
 Transformations of functions
 Function notation – composition of functions
 Systems of linear equations and inequalities
N.CN.1
N.CN.2
N.CN.7
N.CN.8
A.SSE.3
A.REI.4
F.IF.7
F.IF.8
2. Quadratic Functions
 Analyze functions using different representations.
Intercepts, maximum, minimum, axis of symmetry,
vertex, leading coefficients
Vertex Form vs. Standard Form
Transformations
Graph quadratic inequalities
Graph systems of quadratic inequalities
 Solve Quadratic Equations with complex number (real or
imaginary) solutions by the most appropriate methods.
Simplify square roots, rationalize denominators
Perform arithmetic operations on complex numbers
Graph complex numbers, determine absolute value
of complex numbers
By Factoring
 Rewrite expression as complex factors (EX: x2 +
4 = (x – 2i)(x + 2i))
By Quadratic Formula
 Discriminant, number of roots
By Graphing
 Zeros, x-intercepts, solutions
By Completing the Square
By Square Roots
 Write Quadratic Functions given sufficient information
 Roots, graph, model, intercepts, three points, vertex
 Solve a Quadratic Inequality (algebraically or graphically)
 Apply, model and interpret quadratic situations in context
Spend approximately 3
weeks on review.
Use as needed :
Chapter 2 : 2.1-2.4
Chapter 1 : 1.1-1.3, 1.6, 1.8
Chapter 3 : 3.1-3.4
Chapter 5: 5.3-5.6
Common Core Standards for Mathematical Practice
1 Students make sense of problems and persevere in solving them.
2 Students reason abstractly and quantitatively.
3 Students construct viable arguments and critique the reasoning
of others.
4 Students model with mathematics.
5 Students use appropriate tools strategically.
6 Students attend to precision.
7 Students look for and make use of structure.
8 Students look for and express regularity in repeated
reasoning.
Check the District 150 website for additional math resources and information
www.psd150.org
Peoria Public Schools District 150
Revision June 2013
SECOND QUARTER
Algebra 2 Basic
New ILS
Specific Topic
Common Core
N.RN.1
N.CN.8
N.CN.9
A.SSE.2
A.APR.2
A.APR.3
A.APR.5
A.APR.6
F.IF.7
Teacher Resources
3. Polynomials
Chapter 7: 7.1-7.3, 7.5
 Identify polynomials by degree and number of terms
 Perform arithmetic operations on polynomials
Use properties of exponents (expand from Algebra
1)
Add, subtract, multiply polynomials (review from
Algebra 1)
Know and apply the Binomial Theorem
Divide polynomials by long division & synthetic
division
 Remainder Theorem and Factor Theorem
 Evaluate polynomials using direct and synthetic
division
 Identify all roots (real and imaginary) of a polynomial
given a graph or factorable polynomial.
Factor and solve polynomials
Understand the relationship between zeros and
factors of a polynomial
Rational Root Theorem
 Write a polynomial of least degree given sufficient
information.
 Use complex conjugates theorem, rational root
theorem, irrational root theorem
Common Core Standards for Mathematical Practice
1 Students make sense of problems and persevere in solving them.
2 Students reason abstractly and quantitatively.
3 Students construct viable arguments and critique the reasoning
of others.
4 Students model with mathematics.
5 Students use appropriate tools strategically.
6 Students attend to precision.
7 Students look for and make use of structure.
8 Students look for and express regularity in repeated
reasoning.
Check the District 150 website for additional math resources and information
www.psd150.org
Peoria Public Schools District 150
Revision June 2013
THIRD QUARTER
Algebra 2 Basic
New ILS
Common Core
F.LE.2
F.LE.4
F.LE.5
F.BF.5
F.IF.7
F.IF.8
A.APR.7
A.CED.2
F.IF.7
F.IF.9
Specific Topic
Teacher Resources
4. Exponential and Logarithmic Functions
 Write an exponential or power function from table,
graph, or description.
 Use technology to perform exponential and logarithmic
regression.
 Understand and use the property of equality for
exponential and logarithmic equations.
 Apply exponential and logarithmic functions in real
world problems
 Compound interest
 Exponential growth and decay
 Continuously compounded interest
 Use Natural base e
 Convert between logarithmic and exponential form
 Evaluate logarithms with and without technology
 Use common and natural logarithms
 Use logarithm properties to simplify expressions
(expanding, condensing, change of base)
 Graph exponential and logarithmic functions
 Growth and decay
 Identify domain and range
 Understand logarithmic and exponential functions are
inverses
 Use properties of exponents
5. Rational Functions
 Add, subtract, multiply, divide rational expressions and
simplify answers
 Classify and write direct, inverse and joint variation
 Graph rational functions.
 Include asymptotes, vertical and horizontal
 Find the domain and range
 Find local maximum and minimum, intervals of
increasing and decreasing
 Sketch a graph from a verbal description
 Compare functions in different forms (graphs, tables,
descriptions)
 Identify even and odd functions
Chapter 6: 6.1-6.7
Chapter 1: 1.4
Chapter 8: 8.1-8.5
Common Core Standards for Mathematical Practice
1 Students make sense of problems and persevere in solving them.
2 Students reason abstractly and quantitatively.
3 Students construct viable arguments and critique the reasoning
of others.
4 Students model with mathematics.
5 Students use appropriate tools strategically.
6 Students attend to precision.
7 Students look for and make use of structure.
8 Students look for and express regularity in repeated
reasoning.
Check the District 150 website for additional math resources and information
www.psd150.org
Peoria Public Schools District 150
Revision June 2013
FOURTH QUARTER
Algebra 2 Basic
New ILS
Specific Topic
Common Core
N.RN.1
N.RN.2
A.REI.2
F.BF.1
F.BF.4
F.IF.7
A.SSE.3
A.REI.7
A.CED.2
Teacher Resources
6. Rational Exponents & Radical Expressions
 Evaluate nth roots
 Convert between radical notation and rational exponent
notation
 Solve equations with nth roots
 Use properties of exponents to simplify expressions
with rational exponents
 Write radicals in simplest radical form
 Perform operations with radicals
 Solve radical equations
 Perform operations with functions (add, subtract,
multiply, divide, composition) and identify domain and
range
 Inverse relations
 Find the inverse
 Graph
 Use horizontal and vertical line test and determine
if a function is one-to-one
 Verify functions are inverses
 Determine an inverse relation from table, function,
or graph
 Graph square root and cube root functions and identify
domain and range
Chapter 8 : 8.6-8.8
7. Quadratic Relations and Conic Sections




Translate conic sections
Identify symmetries of conic sections
Classify conic sections from equations
Graph and Write equations
 Circles, ellipses, hyperbolas
4. Matrices




Chapter 4: 4.1-4.3
Operations
Inverse
Determinant
Cramer’s Rule
Common Core Standards for Mathematical Practice
1 Students make sense of problems and persevere in solving them.
2 Students reason abstractly and quantitatively.
3 Students construct viable arguments and critique the reasoning
of others.
4 Students model with mathematics.
5 Students use appropriate tools strategically.
6 Students attend to precision.
7 Students look for and make use of structure.
8 Students look for and express regularity in repeated
reasoning.
Check the District 150 website for additional math resources and information
www.psd150.org
Peoria Public Schools District 150
Revision June 2013