Download Grade 11 Physics, Year

6/18/2006 12:06:00 PM
Technology Unit Lesson Plan
Due to the affluent nature of the school at which I teach, students are expected to have access to a computer and the Internet at home. All
students are expected to own or check out a graphing calculator from the library.
Teacher: Ms. Camacho Ingersoll
Class: Math Analysis / Precalculus
Unit: Chapter 4 Trigonometry
Date: This unit is usually completed in December
Day 1
Day 2
Day 3
Day 4
Day 5
Topics
4.1 Radian &
Degree Measure
4.2 Trig functions
and the unit circle
4.3 Trig functions &
right triangles
4.4 Trig functions
at any angle
Review 4.1-4.4
Standards
1.0 Content: Students
2.0 Content: Students
3.0 Content: Students know
7.0 Content: Students
1.0 Content, 1.0 Process
understand the notion of
know the definition of
the identity cos2 x+sin2 x = 1:
know that the tangent of
2.0 Content
angle and how to
sine and cosine as y-
3.1 Process: Students
the angle that a line
3.0 Content
measure it, in both
and x- coordinates of
prove that this identity is
makes with the x- axis is
3.1 & 3.2 Process
degrees and radians.
points on the unit circle.
equivalent to the
equal to the slope of the
5.0 Content
1.0 Process: They can
5.0 Content: Students
Pythagorean Theorem (i.e.,
line.
6.0 Content
convert between
know the definitions of
students can prove this
9.0 Process: Students
7.0 Content
degrees and radians.
the tangent and
identity by using the
compute, by hand, the
9.0 Process
cotangent functions.
Pythagorean Theorem and,
values of the
12.0 Process
6.0 Content: Students
conversely, they can prove
trigonometric functions
19.0 Process
know the definitions of
the Pythagorean Theorem
at various standard
the secant and cosecant
as a consequence of this
points.
functions.
identity).
12.0 Process: Students
9.0 Process: Students
3.2 Process: Students
use trigonometry to
compute, by hand, the
prove other trigonometric
determine unknown
values of the
identities and simplify others
sides or angles in right
trigonometric functions
by using the identity cos2
triangles.
at various standard
x+sin2 x = 1. For example,
points.
students use this identity to
19.0 Process: Students
prove that sec2 x = tan2 x +1.
are adept at using
12.0 Process: Students use
trigonometry in a variety
trigonometry to determine
of applications and word
unknown sides or angles in
problems.
right triangles.
19.0 Process: Students are
adept at using trigonometry
in a variety of applications
and word problems.
Lecture
This lesson will begin
The day will begin by
The day will begin by
The day will begin by
The day will begin by
Notes (Links
with an introduction
answering any HW
answering any HW
answering any HW
answering any HW
to
using the link to Who
Questions, followed by
Questions, followed by a
Questions, followed by a
Questions, followed by a
multimedia
should take trig? trig?”
notes on the unit circle
Right Triangle PPT that
lesson illustrating the
PPT Right Triangle
Resources)
This link is also a great
(use in slow motion).
illustrates trig functions and
sign change of trig
Review.
place for students to
Students will define trig
relationships, especially in
functions in different
The PPT reviews concepts
review because it
functions in terms of x,
30-60-90 triangles
quadrants using the
learned in 4.1-4.4, followed
provides problems with
y, & r that are illustrated
45-45-90 triangles.
unit circle to illustrate
by a speed quiz for
answers that follow.
in the link. Students will
Student Success
the movement and
students to play a game
After the brief intro,
also learn to evaluate
Organizer Notes 4.3
change of sine and
with three teams.
students will take notes
trig functions on using
cosine.
with Student Success
the graphing calculator.
Students will work with
trig functions in terms of
Organizer Notes 4.1
and learn basic vocab
Student Success
reference angles.
and conversions:
Organizer Notes 4.2
Student Success
radian-degree,
degree-radian,
sketching angles,
complementary &
supplementary angles,
degree/minutes/seconds
(DoM’S”) to decimal
form, decimal to DoM’S”,
and arc length. Students
will also learn about
latitude and longitude,
uniform circular
motion, angular speed.
Organizer Notes 4.4
Independent
Student Success
Student Success
Student Success
Student Success
practice
Organizer
Organizer
Organizer
Organizer
(Internet
Additional Problems
Additional Problems
Additional Problems 4.3
Additional Problems
Links)
4.1
4.2
Homework
290 # 3-111 (3)
299 # 3-60 (3)
308 # 3-69 (3)
318 # 5-95 (5)
365 # 3-81 (3)
ACE Practice Quiz 4.1
ACE Practice Quiz 4.2
ACE Practice Quiz 4.3
ACE Practice Quiz 4.4
4.4
AV, Internet
graphing calculator w/
graphing calculator w/
graphing calculator w/ TV
graphing calculator w/
graphing calculator w/ TV
materials
TV adapter system &
TV adapter system;
adapter system;
TV adapter system;
adapter system;
required
Internet w/ projector
Internet w/ projector;
Internet w/ projector;
Internet w/ projector;
Internet w/ projector;
email quiz
PPT with projector;
email quiz
PPT with projector
email quiz
email quiz
Technology
Using a computer and
Using a computer and
Using a computer and
Using a computer and
The Right Review PPT will
Enrichment
projector, I can display
projector, I can display
projector, I can display the
projector, I can display
take students through a
the notes on a white
the notes on a white
notes on a white board and
the notes on a white
brief review of trigonometric
board and fill in
board and fill in
fill in information and solve
board and fill in
relationships in right
information and solve
information and solve
problems without recopying
information and solve
triangles. The class will
problems without
problems without
the problems. Students can
problems without
divide into three teams and
recopying the problems.
recopying the problems.
download and print the
recopying the problems.
play a speed quiz to test
Students can download
Students can download
Student Success Organizer
Students can download
their skills. There is also a
and print the Student
and print the Student
(SSO) notes so they do not
and print the Student
link to a video file on the
Success Organizer
Success Organizer
have to copying to do,
Success Organizer
Internet in the ppt.
(SSO) notes so they do
(SSO) notes so they do
saving time and allowing
(SSO) notes so they do
The graphing calculator TV
not have to copying to
not have to copying to
them to focus more on the
not have to copying to
adapter allows students to
do, saving time and
do, saving time and
lecture and not copying
do, saving time and
see the calculations that
allowing them to focus
allowing them to focus
notes.
allowing them to focus
are being performed so
more on the lecture and
more on the lecture and
The Right Triangle PPT will
more on the lecture and
they can follow along and
not copying notes.
not copying notes.
take students through the
not copying notes.
know the correct
Using the Internet, I will
Using the Internet, I will
development of the
Using the Internet, I will
information to enter into the
be able to take students
be able to take students
relationships in the special
be able to take students
calculator, as well as see
to sites that can provide
to sites that can provide
right triangles step-by-step
to sites that can provide
the correct response.
detailed graphics and
detailed graphics and
with accurate graphics with
detailed graphics and
Students will use a
information about
information about
straight lines and color.
information about
graphing calculator to solve
trigonometric concepts.
trigonometric concepts.
The graphing calculator TV
trigonometric concepts.
more advanced problems.
The latitude and
The unit circle interactive
adapter allows students to
The unit circle interactive
The textbook website also
longitude website
graphic provides an
see the calculations that are
graphic provides an
allows students to take a
provides excellent 3D
excellent visual
being performed so they can
excellent visual
quiz, submit their answers
graphics of the globe
relationship between the
follow along and know the
relationship between the
and receive instant
and the relationship with
(x, y) coordinates of a
correct information to enter
sign change of cosine
feedback. They can find
the degree. There is an
point and the cosine and
into the calculator, as well as
and sine segments on a
out the concepts they need
interactive portion of the
sine segments on a unit
see the correct response.
unit circle. The
to strengthen. By email the
site that allows students
circle. The computer
Students will use a graphing
computer generated
results to me, I can see
to determine the latitude
generated graphics and
calculator to solve more
graphics and animations
how the class is doing as a
and longitude of a
animations are much
advanced problems.
are much more accurate
whole and review
particular location. The
more accurate than any
The textbook website also
than any in class
necessary concepts the
links for the uniform
in class demonstration.
allows students to take a
demonstration.
next day.
circular motion has
The graphing calculator
quiz, submit their answers
The graphing calculator
animated graphics that
TV adapter allows
and receive instant
TV adapter allows
illustrate uniform circular
students to see the
feedback. They can find out
students to see the
motion and the angular
calculations that are
the concepts they need to
calculations that are
speed link shows the
being performed so they
strengthen. By email the
being performed so they
student an interactive
can follow along and
results to me, I can see how
can follow along and
real-world application.
know the correct
the class is doing as a whole
know the correct
The computer generated
information to enter into
and review necessary
information to enter into
graphics and animations
the calculator, as well as
concepts the next day.
the calculator, as well as
are much more accurate
see the correct
see the correct
than any in class
response. Students will
response. Students will
demonstration.
use a graphing
use a graphing
The graphing calculator
calculator to solve more
calculator to solve more
TV adapter allows
advanced problems.
advanced problems.
students to see the
The textbook website
The textbook website
calculations that are
also allows students to
also allows students to
being performed so they
take a quiz, submit their
take a quiz, submit their
can follow along and
answers and receive
answers and receive
know the correct
instant feedback. They
instant feedback. They
information to enter into
can find out the
can find out the
the calculator, as well as
concepts they need to
concepts they need to
see the correct
strengthen. By email the
strengthen. By email the
response. Students will
results to me, I can see
results to me, I can see
use a graphing
how the class is doing
how the class is doing
calculator to solve more
as a whole and review
as a whole and review
advanced problems.
necessary concepts the
necessary concepts the
next day.
next day.
Assessment
SSO & HW
SSO, HW, QUIZ
SSO, HW, QUIZ
SSO, HW, QUIZ
HW, QUIZ
Points
3+4=7
3+4+3=10
3+4+3=10
3+4+3=10
4+3=7
Teacher: Ms. Camacho Ingersoll
Class: Math Analysis / Precalculus
Unit: Chapter 4 Trigonometry
Date: This unit is usually completed in December
Day 6
Day 7
Day 8
Day 9
Day 10
Topics
Quiz 4.1-4.4
4.5 Graphs of
Sine & Cosine
Functions
4.6 Other Trig
Graphs (Sec, Csc,
Tan & Cot)
4.5-4.6 Review &
Group Activity
4.7 Inverse Trig
Functions
Standards
1.0 Content, 1.0
2.0 Content: Students
5.0 Content: Students
5.0 Content: Students
Process
know the definition of
know the definitions of the
know the definitions of the
8.0 Content: Students
know the definitions of
2.0 Content
sine and cosine as y-
tangent and cotangent
tangent and cotangent
the inverse trigonometric
3.0 Content, 3.1 & 3.2
and x- coordinates of
functions.
functions.
functions.
Process
points on the unit circle
5.0 Process: Students
5.0 Process: Students
9.0 Process: Students
5.0 Content
and are familiar with the
can graph tangent and
can graph tangent and
compute, by hand, the
6.0 Content
graphs of the sine and
cotangent functions.
cotangent functions.
values of the
7.0 Content
cosine functions.
6.0 Content: Students
6.0 Content: Students
trigonometric functions
9.0 Process
4.0 Process: Students
know the definitions of the
know the definitions of the
and the inverse
12.0 Process
graph functions of the
secant and cosecant
secant and cosecant
trigonometric functions at
19.0 Process
form f(t) = A sin (Bt + C )
functions.
functions.
various standard points.
or f(t) = A cos ( Bt + C)
6.0 Process: Students
6.0 Process: Students
and interpret A, B, and C
can graph secant and
can graph secant and
in terms of amplitude,
cosecant functions.
cosecant functions.
frequency, period, and
phase shift.
Lecture
The day will begin with a
The day will begin by
The day will begin by
The day will begin by
The day will begin by
Notes (Links
quick review of any HW
answering any HW
answering any HW
answering any HW
answering any HW
to
Questions. Students will
Questions. Students will
Questions. Students will
Questions. Students will
Questions. Students will
multimedia
take the 4.1-4.4 Quiz.
find out the answer to
continue the lesson on
further extend the lesson
learn about inverse trig
Resources)
Following the quiz, there
the extra credit question
graphing trig functions.
on waves and graphing
functions and their
will be a brief Review
and see the rest of the
Graphing tangent
trig functions by looking at
graphs.
Graphing Calc including
Tacoma Narrows
Graphing cotangent
the composition of
Inverse sine
Setting windows,
video. Students will
Graphing secant
functions and waves
Inverse cosine
Finding intercepts, and
learn about waves and
Graphing cosecant
visually at the site Adding
Inverse tangent
finding maximum and
graphing trig functions.
Students will visually see
Sine Waves.
minimum values.
What is a wave?
the relationship between
Students will also
Student Success
Graphing sin waves
the following functions:
investigate the sound of
Organizer Notes 4.7
Sin transformation
sin/csc
waves and combinations
Graphing cosine
cos/sec
of waves.
Students will learn about
waves
tan/cot
Consonance &
the relationship of inverse
Graphing ppt
periodic function
Dissonance
trig functions in different
Student Success
Student Success
Damping
quadrants.
Organizer Notes 4.5
Organizer Notes 4.6
Tacoma Narrows
Students will use the
collapse
graphing calc to find θ.
Independent
Analyzing a graph
Student Success
Student Success
Roller coaster graphing
Student Success
practice
Ch 4 Tech. Project
Organizer
Organizer
packet students will
Organizer
(Internet
Additional Problems
Additional Problems 4.6
complete together in
Additional Problems 4.7
Links)
4.5
Homework
Analyzing a graph
328 # 5-25 (5);
Ch 4 Tech. Project
27-54 (3); 60-85 (5)
groups of 3-4.
339 # 5-85a (5)
Start PPT project
Sound Wave
349 # 5-100 (5)
Investigation Worksheet
Finish SWI Worksheet
ACE Practice Quiz 4.5
ACE Practice Quiz 4.6
AV, Internet
graphing calculator w/
graphing calculator w/
graphing calculator w/ TV
graphing calculator w/ TV
graphing calculator w/ TV
materials
TV adapter system;
TV adapter system;
adapter system &
adapter system;
adapter system &
required
Internet w/ projector;
Internet w/ projector;
PPT with projector
PPT with projector
Internet w/ projector
Internet w/ projector;
Internet w/ projector
mobile laptop lab w/
internet;
email quiz
Technology
Using the Internet, I will
Using a computer and
Using a computer and
Using a computer I can
Using a computer and
Enrichment
be able to take students
projector, I can display
projector, I can display the
show students the
projector, I can display
to a graphing calculator
the notes on a white
notes on a white board
websites they will be
the notes on a white
help website that they
board and fill in
and fill in information and
visiting to complete the
board and fill in
can revisit on their own if
information and solve
solve problems without
class work and homework,
information and solve
they need further help.
problems without
recopying the problems.
including video and audio
problems without
The graphing calculator
recopying the problems.
Students can download
files. Students will use the
recopying the problems.
TV adapter allows
Students can download
and print the Student
laptops to investigate
Students can download
students to see the
and print the Student
Success Organizer (SSO)
sound waves and
and print the Student
calculations that are
Success Organizer
notes so they do not have
complete the roller coaster
Success Organizer (SSO)
being performed so they
(SSO) notes so they do
to copying to do, saving
packet and sound wave
notes so they do not have
can follow along and
not have to copying to
time and allowing them to
investigation sheet. The
to copying to do, saving
know the correct
do, saving time and
focus more on the lecture
graphing calculator TV
time and allowing them to
information to enter into
allowing them to focus
and not copying notes.
adapter allows students to
focus more on the lecture
the calculator, as well as
more on the lecture and
Using the Internet, I will be
see the calculations that
and not copying notes.
see the correct
not copying notes.
able to take students to
are being performed so
Using the Internet, I will
response. Students will
The Graphing PPT will
sites that can provide
they can follow along and
be able to take students
use a graphing
take students through
detailed graphics and
know the correct
to sites that can provide
calculator to solve more
the properties of the
information about the rest
information to enter into
detailed graphics and
advanced problems.
graphs of the sine and
of the trig graphs and
the calculator, as well as
information about inverse
After students have
cosine functions. The
show the visual
see the correct response.
trigonometric concepts.
reviewed graphing
interactive links allow the
relationship between the
Students will use a
The graphing calculator
calculator operations,
user to control the
reciprocal functions.
graphing calculator to
TV adapter allows
they will be able to
development the graph
The graphing calculator
solve more advanced
students to see the
complete the textbook
and allow the user to
TV adapter allows
problems and graph
calculations that are
website technology
graph these functions
students to see the
functions. The textbook
being performed so they
project for chapter 4.
with transformations.
calculations that are being
website also allows
can follow along and
Students will need to
The graphing calculator
performed so they can
students to take a quiz,
know the correct
visit the website and
TV adapter allows
follow along and know the
submit their answers and
information to enter into
answer the graphing
students to see the
correct information to enter
receive instant feedback.
the calculator, as well as
calculator questions for
calculations that are
into the calculator, as well
They can find out the
see the correct response.
HW, bringing a printout
being performed so they
as see the correct
concepts they need to
Students will use a
with their results.
can follow along and
response. Students will
strengthen. By email the
graphing calculator to
Students will also
know the correct
use a graphing calculator
results to me, I can see
solve more advanced
receive instructions on
information to enter into
to solve more advanced
how the class is doing as a
problems and graph
the PPT presentations
the calculator, as well as
problems and graph
whole and review
functions.
they will need to
see the correct
functions.
necessary concepts the
complete by the end of
response. Students will
the chapter.
use a graphing
next day.
calculator to solve more
advanced problems and
graph functions.
Assessment
Ch 4 Project
SSO, HW
SSO, HW
Group WS, QUIZ (2)
HW, SWI
Points
10
3+4=7
3+4=7
10+3+3=16
4+10
Teacher: Ms. Camacho Ingersoll
Class: Math Analysis / Precalculus
Unit: Chapter 4 Trigonometry
Date: This unit is usually completed in December
Day 11
Day 12
Day 13
Day 14
Day 15
Topics
4.8 Applications
of Trigonometry
Review Chapter 4
Chapter 4 Practice
Test
Chapter 4 Test
W/O Calculator
Chapter 4 Test
With Calculator
Standards
12.0 Process: Students
1.0 Content, 1.0
1.0 Content, 1.0 Process
1.0 Content, 1.0 Process
1.0 Content, 1.0
use trigonometry to
Process
2.0 Content
2.0 Content
Process
determine unknown
2.0 Content
3.0 Content
3.0 Content
2.0 Content
sides or angles in right
3.0 Content
3.1 & 3.2 Process
3.1 & 3.2 Process
3.0 Content
triangles.
3.1 & 3.2 Process
4.0 Process
4.0 Process
3.1 & 3.2 Process
19.0 Process: Students
4.0 Process
5.0 Content, 5.0 Process
5.0 Content, 5.0 Process
4.0 Process
are adept at using
5.0 Content, 5.0
6.0 Content, 6.0 Process
6.0 Content, 6.0 Process
5.0 Content, 5.0
trigonometry in a variety
Process
8.0 Content
8.0 Content
Process
of applications and word
6.0 Content, 6.0
7.0 Content
7.0 Content
6.0 Content, 6.0
problems.
Process
9.0 Process
9.0 Process
Process
8.0 Content
12.0 Process
12.0 Process
8.0 Content
7.0 Content
19.0 Process
19.0 Process
7.0 Content
9.0 Process
9.0 Process
12.0 Process
12.0 Process
19.0 Process
19.0 Process
Lecture
The day will begin by
The day will begin by
The day will begin by
Students will turn in their
Students’ graphing
Notes (Links
answering any HW
answering any HW
answering any HW
packets which consist of
calculator memory will be
to
Questions. Students will
Questions.
Questions.
their SSOs and HW
cleared to ensure no
multimedia
further investigate
assignments.
programs or information
Resources)
Applications of Trig
is stored in the calculator.
with an Application
Calculators will also be
PPT along with the
cleared following the test,
Student Success
so no information is
Organizer Notes 4.8.
transported from the
classroom.
Independent
Student Success
Students work in groups
Individual Chapter Test in
Chapter 4 Test
Chapter 4 Test
practice
Organizer
of 2-4 on review
class 369 # 1-19 odd
w/o calculator
w/ graphing calculator
(Internet
Additional Problems
CW 366 # 5-150 (5)
Review answers in class
Links)
4.8
Homework
359 # 16-40 all
ACE Practice Quiz 4.8
369 # 2-20 even
work on PPT project
work on PPT project
PPT project due Monday
ACE Practice Quiz 4.7
Finish 366 # 5-150 (5)
AV, Internet
graphing calculator w/
graphing calculator w/
graphing calculator w/ TV
materials
TV adapter system;
TV adapter system;
adapter system
required
Internet w/ projector;
Internet;
PPT with projector
email quiz
Technology
Using a computer and
The graphing calculator
The graphing calculator
Students will be using a
Students will use a
Enrichment
projector, I can display
TV adapter allows
TV adapter allows
computer with PPT to
graphing calculator to
the notes on a white
students to see the
students to see the
finish their projects.
solve more advanced
board and fill in
calculations that are
calculations that are being
problems and application
information and solve
being performed so they
performed so they can
problems.
problems without
can follow along and
follow along and know the
Students will be using a
recopying the problems.
know the correct
correct information to enter
computer with PPT to
graphing calculator
Students can download
information to enter into
into the calculator, as well
and print the Student
the calculator, as well as
as see the correct
Success Organizer
see the correct
response. Students will
(SSO) notes so they do
response. Students will
use a graphing calculator
not have to copying to
use a graphing
to solve more advanced
do, saving time and
calculator to solve more
problems, application
allowing them to focus
advanced problems,
problems and graph
more on the lecture and
application problems
functions.
not copying notes. I can
and graph functions.
also show students a
The textbook website
site with information
also allows students to
about the real-world
take a quiz, submit their
applications of trig.
answers and receive
The Application PPT will
instant feedback. They
take students through a
can find out the
review of solving right
concepts they need to
triangles followed by
strengthen. By email the
word problems where
results to me, I can see
students will use the
how the class is doing
skills that have been
as a whole and review
reviewed.
necessary concepts the
The graphing calculator
next day.
TV adapter allows
students to see the
calculations that are
being performed so they
can follow along and
know the correct
information to enter into
finish their projects.
the calculator, as well as
see the correct
response. Students will
use a graphing
calculator to solve more
advanced problems and
application problems.
Assessment
SSO, HW
HW, QUIZ (2)
CW, HW
Test
Test, PPT
Points
3+4=7
4+3+3=10
4+4=8
65
35+25=60