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Test Description for Quadratic Equations and Functions

SOL Objectives Number of Items
Total For
Mastery
For Partial
Mastery
A2.6 Select, justify, and apply graphing and algebraic
techniques to solve a quadratic equation. Model and
solve real-life applications with quadratics.
5 4 N/A
A2.8(2) Recognize a quadratic function and convert
between a graph, a table and symbolic form. A
transformational approach to graphing will be
employed through the use of graphing calculators.
4 3 N/A
A2.9(2) Find the domain, range, zeros, and inverse of
quadratic functions. The functions will include those
that have domains and ranges that are limited and/or
discontinuous. The graphing calculator will be used as
a tool to assist in investigation of functions.
4 3 N/A
A2.10(1) Investigate and describe through the use of
graphs the relationships between the solution of an
equation, zero of a function, x-intercept of a graph, and
factors of a quadratic expression.
5 4 N/A
A2.19(2) Collect and analyze data to make
predictions, write equations and solve practical
problems. Graphing calculators will be used to
investigate scatterplots to determine the equation for a
curve of best fit. Models will include quadratic
functions.
3 3 2
  21    
SOL Objective Essential Knowledge and Skills Item Descriptions #
A2.6 Select,
justify, and apply
graphing and
algebraic
techniques to solve
a quadratic
equation over the
set of complex
numbers. Model
and solve real-life
applications with
quadratics.
Solve a quadratic equation over the set
of complex numbers.

Recognize a quadratic equation.

Select an appropriate strategy for
solving a quadratic equation (factoring,
the quadratic formula, or graphing).

Identify the real solutions to a quadratic
equation from a graph.

Find the real roots of a quadratic
equation using a graphing calculator
Make connections between the
discriminant of a quadratic equation
and its solution and graph.

Model and solve real-life applications
with quadratics.
Connect discriminant value to type
of solution
104
Solve quadratic equation. 101
Solve quadratic equation. 102
Solve quadratic equation. 103
Given equation, identify number of
roots
105
A2.8(2)
Recognize a
quadratic function
and convert
between a graph, a
table and symbolic
form. A
transformational
approach to
graphing will be
employed through
the use of graphing
calculators.
Recognize graphs of parent functions
for quadratic functions.

Identify function as quadratic.

Write equation of quadratic in (h, k)
form given the graph of the parent
function or an integral translation of a
parent function.

Given an equation, graph a quadratic
with the aid of a graphing calculator.
Identify graph of quadratic function 108
Identify quadratic function from
table
106
Find equation from graph showing
vertex
107
Identify function that is not
quadratic.
109
A2.9(2) Find the
domain, range,
zeros, and inverse
of quadratic
functions. The
functions will
include those that
have domains and
ranges that are
limited and/or
discontinuous. The
graphing calculator
will be used as a
tool to assist in
investigation of
functions.
Identify domain, range, zeros, and
inverse of a quadratic function
presented algebraically or graphically.

Use interchange of variables to find the
inverse of a function and graph the
inverse.
Identify domain and range of
quadratic function from graph
110
Given function find finite range
from values in domain
113
Find the inverse of a quadratic
function
112
Identify the graph of the inverse of
a quadratic function
111
A2.10(1)
Investigate and
describe through
the use of graphs
the relationships
between the
solution of an
equation, zero of a
function, xintercepts
of a
graph, and factors
of a quadratic
expression
Identify the x-intercepts of graph.

Identify the zeros of a function given
the graph.

Determine the linear factors of a
polynomial expression when the zeros
of the corresponding polynomial
function are displayed on a graph.

Relate solutions of an equation, zeros of
a function, x-intercepts of a graph and
factors of a quadratic equation or
function
Given factors, know relationship of
roots, zeros, x-intercepts and
solutions
116
Find zeros from factors 115
Write equation from zeros 118
Find zeros from equation 117
Given graph, find factor 114
A2.19(2) Collect
and analyze data to
make predictions to
solve practical
problems.
Graphing
calculators will be
used to investigate
scatterplots to
determine the
equation for a curve
of best fit. Models
will include
quadratic
functions.
Collect and analyze data

Investigate scatterplots to determine if
patterns exist, and then identify the
patterns.

Find an equation for the curve of best
fit for data using a graphing calculator.
Models will include quadratic
functions.

Make predictions using data,
scatterplots, or curve of best fit
Given a set of data, determine the
model that would best describe the data
Analyze data and make prediction 119
Identify quadratic equation from
graph
120
Find quadratic equation for curve of
best fit for data using a graphic
calculator
121