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Partners for Student Success
Honors Algebra II
Unit 1: Quadratics and Polynomials
In order for your child to be successful, it is important to be consistent with the mathematical
vocabulary and processes that will be implemented this year in Algebra II. You may find this
resource helpful when supporting your child at home.
Unit Concepts
Concept
Explanation
Examples
Graphing
Quadratic
Equations
The graph of a quadratic equation on a
coordinate plane. The solutions to the
quadratic equations are the x-intercepts
of the graph. The name of this graph is a
parabola.
Factoring
Trinomials
The process of finding terms that
multiply together to give you a trinomial
(3 terms).
Factor 2 x 2  7 x  3
( x  3)(2 x  1)
x 2  16 x  15
Completing the
Square
A method of finding the zeros in a
quadratic equation.
Quadratic
Formula
A formula that can be used to solve a
quadratic equation in standard
form ax 2  bx  c  0
Equivalent
Equations
Produce equivalent forms of quadratics
using standard, intercept, and vertex
form.
Transformations
of Graphs
A transformation is a change that
translates the graph horizontally or
vertically; or reflects, rotates, or
stretches the graph.
Cecil County Public Schools
2014-15
1
x 2  16 x  64  15  64
( x  8) 2  49
x  8  7
x  15, 1
Quadratic Formula:
 b  b2  4ac
2a
Standard: y  x 2  4 x  3
Intercept: y  ( x  1)( x  3)
Vertex: y  ( x  2) 2  1
x
Honors Algebra II
Unit 1 Partners for Student Success
Curve of Best Fit
The curve that best models a scatterplot.
Student will explore several models
during this course.
Complex
Numbers
A number that can be expressed in the
form a + bi, where a and b are real
numbers and i is the imaginary unit, and
where i2 = −1.
"Re" is the real axis, "Im" is the imaginary
axis.
Polynomial
An expression/equation constructed from
variables and constants, using only the
operations of addition, subtraction,
multiplication, and non-negative integer
exponents. Written as:
f(x) = anxn + an-1xn-1 +…+ a1x + a0
Zeros of a
polynomial
The x-value for which the polynomial =
0. This is the point where the function
intersects the x-axis.
Fundamental
Theorem of
Algebra
(Honors only)
A polynomial of degree n has at most n
distinct roots. These roots can be real or
complex.
Example:
This polynomial will have at most 3 roots.
Additional Resources
 www.corestandards.org - View the math standards your child will be learning this year
 www.ixl.com/math/standards/common-core - Interactive practice opportunities
 www.studyjams.com - Interactive examples and opportunities for practice for each standard
 www.khanacademy.org - Find videos and examples on several math concepts
 http://www.shmoop.com/common-core-standards - Unpack each standard
Cecil County Public Schools
2014-15
2
Honors Algebra II
Unit 1 Partners for Student Success