**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 |