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Accelerated Analytic Geometry Week of 1/26/15
Dates
Standard
1/26/15
Monday
MCC9-12.A.SSE.3a
Factor a quadratic
expression to reveal
the zeros of the
function it defines.★
MCC9‐12.A.SSE.3
Choose and produce
an equivalent form
of an expression to
reveal and explain
properties of the
quantity
represented by the
expression.★
MCC9‐12.F.IF.8a Use
the process of
factoring and
completing the
square in a quadratic
function to
show zeros, extreme
values, and
symmetry of the
graph, and interpret
these in terms of a
context.
1/27/15
Tuesday
1/28/15
Wednesday
MCC9-12.A.SSE.3b
Complete the square in a
quadratic expression to reveal
the maximum or minimum
value of the function it
defines.★
MCC9-12.A.SSE.3b
Complete the square
in a quadratic
expression to reveal
the maximum or
minimum value of the
function it defines.★
MCC9‐12.F.IF.8a Use the
process of factoring and
completing the square in a
quadratic function to
show zeros, extreme
values, and symmetry of
the graph, and interpret
these in terms of a
context.
MCC9‐12.F.IF.8a
Use the process of
factoring and
completing the
square in a
quadratic function
to show zeros,
extreme values, and
symmetry of the
graph, and interpret
these in terms of a
context.
MCC9-12.A.REI.4a
Use the method of
completing the
square to transform
any quadratic
equation in x into
an equation
of the form (x – p)2
= q that has the
same solutions.
Derive the
quadratic
formula from this
1/29/15
Thursday
MCC9-12.A.SSE.3a
Factor a quadratic
expression to reveal
the zeros of the
function it defines.★
MCC9-12.F.IF.7a
Graph linear and
quadratic functions
and show intercepts,
maxima, and
minima.★
1/30/15
Friday
MCC9-12.A.REI.4
Solve quadratic
equations in one
variable.
MCC9-12.A.REI.4b
Solve quadratic
equations by
inspection (e.g., for
x2 = 49), taking
square roots,
completing the
square, the
quadratic formula
and factoring, as
appropriate to the
initial form of the
equation. Recognize
when the quadratic
formula gives
complex
solutions and write
them as a ± bi for
real numbers a and
b.
Accelerated Analytic Geometry Week of 1/26/15
form.
Essential Question/
Key Question
How do I find the
zeros, vertex, and yintercepts of a
quadratic function?
How do I use the process
of completing the square
to find the zeros of a
quadratic function?
How do I work with
quadratics in vertex
form and in standard
form?
Time
Lesson Opener
How do I use the
quadratic formula?
5-10 minutes of
review questions for
quiz
How do I use the
process of
completing the
square to find the
zeros of a quadratic
function?
How do I find the
zeros of a quadratic
function using the
quadratic function?
What do the zeros of
a function look like,
and what
determines what
type of solutions
they will be?
Warm-up: Find roots
using quadratic
function. Plot graph.
Writing question:
When will a
quadratic have
complex solutions?
When will a
quadratic have two
solutions?
When will a
quadratic have
exactly one
solution?
How can I derive
the quadratic
function?
Try to find the zeros of f(x)
= x^2 + 8x – 5.
Go over 2nd
homework problem
from last night
Accelerated Analytic Geometry Week of 1/26/15
Procedures/Strategies Quiz – 2nd quiz in
quadratics unit
Time
Start completing the
square- what happens
when we can’t use our
“ac” factoring method?
Completing the
square – do an
example using a not
equal to 1.
Use algebra tiles on Ipads
Prove the quadratic
formula by
completing the
square
Notes and practice
Time
Time
Lesson Summary
Assessment/
Evaluation
Materials Needed
Worksheet matching
equations in
different forms to
graphs (finish for
homework)
Quiz grade
Summarize algebra tiles
with an example NOT
using tiles to prep for
homwork
After deriving,
solidify what the
quadratic function
is. Do one example.
HW grade – 2 completing
the square practice
problems.
HW grade – 2
quadratic function
practice problems.
Quizzes
Ipads – notes and algebra Smartboard
tiles
presentation
(http://illuminations.nctm.
org/Activity.aspx?id=3482) Ipads/notes
Worksheets
Quadratic function
Imaginary Roots
HW – 5 problems
mixed factoring reg,
quadratic function
real, qf imaginary
and label type of
solutions.
What do real
solutions look like on
a graph? What do
imaginary solutions
look like on a graph?
HW grade – 5
problems mixed
factoring reg,
quadratic function
real, qf imaginary
and label type of
solutions.
Smartboard
presentation
Ipads/notes
Define discriminant.
Go over opener –
notes.
A few problems –
what type of
solutions will there
be.
Solving Quadratics
practice
What are the
different ways we
have of solving a
quadratic?
HW grade – 2
problems
determining number
and type of
solutions, 4 mix of
solving problems.
Smartboard
presentation
Ipads/notes