Analytic Geometry Week of 5/11/15
Dates
5/11/15
Monday
5/12/15
Tuesday
5/13/15
Wednesday
Standard
MCC9-12.G.SRT.6
Understand that by
similarity, side ratios
in right triangles are
properties of the
angles in the triangle,
leading to definitions
of trigonometric
ratios for acute
angles.
MCC9-12.G.GPE.1
Derive the equation of
a circle of given center
and radius using the
Pythagorean Theorem;
complete the square
to find the center and
radius of a circle given
by an equation.
MCC9-12.G.GPE.1
Derive the equation
of a circle of given
center and radius
using the
Pythagorean
Theorem; complete
the square to find
the center and
radius of a circle
given by an
equation.
MCC9-12.G.SRT.8 Use
trigonometric ratios
and the Pythagorean
Theorem to solve
right triangles in
applied problems.
MCC9-12.G.GPE.2
Derive the equation of
a parabola given a
focus and directrix.
MCC9-12.G.GPE.2
Derive the equation
of a parabola given a
focus and directrix.
5/14/15
Thursday
(1st, 2nd, 3rd twice, and
5th)
MCC9-12.G.GPE.1
Derive the equation
of a circle of given
center and radius
using the
Pythagorean
Theorem; complete
the square to find the
center and radius of a
circle given by an
equation.
MCC9-12.G.GPE.2
Derive the equation
of a parabola given a
focus and directrix.
5/15/15
Friday
MCC9-12.G.C.2
Identify and describe
relationships among
inscribed angles,
radii, and chords.
Include the
relationship between
central, inscribed,
and circumscribed
angles; inscribed
angles on a diameter
are right angles; the
radius of a circle is
perpendicular to the
tangent where the
radius intersects the
circle.
MCC9-12.G.C.5
Derive using similarity
the fact that the
length of the arc
intercepted by an
angle is proportional
to the radius, and
define the radian
measure of the angle
as the constant of
proportionality;
derive the formula for
the area of a sector.
Analytic Geometry Week of 5/11/15
Time
Essential Question/
Key Question
How do I use right
triangle trigonometry
to solve problems?
Lesson Opener
Review: What are the
three trigonometric
ratios you know?
Procedures/Strategies Right triangle trig –
solve out of context
Solve in context
Time
Angle of elevation
and depression
What does the
equation of a circle
look like, and how can
I use it to find the
center and radius?
How do I find the
focus and directrix of a
parabola?
Start circles – look at
equation and define
the different parts
(radius, center)
Write the equation for
given circles
Start focus and
directrix – define,
examples
Given graphs, find
focus and directrix
Time
Lesson Summary
Differentation
TOD/homework
grade – make your
own angle of
elevation/angle of
depression word
problem.
Given graphs, find
focus and directrix
Challenge problem for
advanced students –
How do I find the
How do I find the
focus and directrix of focus and directrix of
a parabola?
a parabola?
What are the
relationships
between segments
and angles of circles?
How do I find arc
length and area of a
sector of a circle?
Circle system
question – give
graph
EOC question about
focus/directrix
(benchmark)
Begin with angles in a
circle – matching.
First time I see
classes:
Finish parabolas and
circles
Kahoot
Review how to find
lengths of different
segments, measures
of angles and arcs
Write the equation
for the circle
More focus and
directrix.
Sketch graph of
parabola given the
focus and directrix,
and write equation
for it
Arc length and area
nd
st
Find focus and
directrix given
formula
2 time I see 1 and
3rd – start on review
problems, Multiple
choice and
constructed response
– packet 1.
Describe the focus
and directrix in your
own words.
Go over answers to
packet review – have
students share
Let students discuss
solutions to applied
problems
Scaffolding for
students who need it
More difficult applied
problems for more
Applied problems
with each type – let
students work on
Analytic Geometry Week of 5/11/15
circle equation that is
not in standard form
Time
Assessment/
Evaluation
TOD grade
HW grade – 2 circle
equation problems
Materials Needed
Smartboard
Ipads/notes
Smartboard
Ipads/notes
HW grade – 2 focus
and directrix
problems
Smartboard
Ipads/notes
on constructed
response. Work in
groups of various
ability levels.
Work on packet
problems is part of
daily grade
Smartboard
Ipads/notes
Review packets
(electronic copies)
advanced groups
Smartboard
Ipads/notes