Title: Unit Title: Graphing Linear Relations and Functions
1Unit Title Graphing Linear Relations and
Functions Lesson Section 2.1 Relations and
Functions By Chad Miller Nov. 17, 2002
Perfect Day Lou Reed
2What does the lesson contain?
Unit Title Lesson What is Needed Teaching
Sequence Pre-Assessment (5 minutes) Motivating
the Lesson (1-2 minutes) NETS (National
Education Technology Standards)
addressed Teach (20 minutes) Practice (60
minutes) Evaluation of Students Intro to Next
Lesson (3 minutes) Â
3What is Needed For this particular lesson the
following need to be available to each
student 1) computers 2) graphing calculators 3)
Maple 7 and Excel (computer programs)
4Teaching Sequence Pre-Assessment (5
minutes) We must first make sure the students are
ready for what we are going to teach them. I will
assess them as we do the lab. After talking
about Relations and Functions, they are ready for
this lab on the computers Â
5Motivating the Lesson (1-2 minutes) We must
justify this dynamic lesson and show students how
it fits into the big picture. Explain to
students that many functions can be created and
graphed using technology on graphing calculators,
excel, computer algebra systems, etc.
6NETS (National Education Technology Standards)
addressed We must justify why we are teaching
what we are teaching The ones address are
TEACHER STANDARD 2, 3 and 4 STUDENT STANDARD 1,
3, 5, and 6
7Teach (20 minutes) This LINK below gives them the
Detailed directions to do the lab. 1)Â Â Â Â Â Have
students get on and look at the following site to
aid them in the lab. http//titans-web.s716.ips.k
12.in.us/millercg/algebrasecondlabs/lab21.htm T
HE NEXT SLIDE SHOWS THESE DIRECTIONS
82.1 Lab OPERATING ON FUNCTIONS DUE
TBA Notes Domain set of acceptable x values
that can be entered into your function or
displayed on your graph. Long Division Read
notes from board or check out the movie here
(millerlesson.rm) Directions 1) Open up Excel and
title 5 columns in this order x, f(x)x2,
g(x)x - 1, f(x)/g(x), and g(x)/f(x). 2) For the
"x" column, make a column of data values from
-5ish to 5ish, in increments of a number from
.5ish to .1ish. 3) Make the other 4 columns so
that they reflect the data values evaluated for
the specified function. 4) Make a standard graph
with a scatterplot for each f(x)/g(x), and
g(x)/f(x). (Same as you learned in
Technology). 5) Print both graphs and turn them
in with your assignment. 6) Answer questions 4-7
using your graph and table.
9The students do not miss out on the notes needed
for the lesson in case I am unable to attend
class for the day.
10Teach (20 minutes) This continues the notes to
the teacher on what the TEACHER should be doing
for the students. 2)Â Â Â Â Â Give each student a
copy of the lab and give them 2 days to complete
it if they need additional time. Many may need
to stay after school, if they do not use the time
wisely in class. THE LAB IS AVAILABLE ONLINE, SO
THE STUDENTS CAN GET EXTRA COPIES AT THEIR
LEISURE.
11Practice (60 minutes) This is the directions to
the teacher on what the STUDENTS should be
doing. 1)Â Â Â Â Â I will be working with the
students the entire time while they are doing the
lab, so they will constantly be practicing what
they are learning. 2) Completing this lab is
their homework assignment.
12Evaluation of Students This is important since
the must be assessed on their learning. I will
constantly be monitoring the students and asking
questions as they arise.
13Intro to Next Lesson (3 minutes) The students
should leave the room excited and ready to return
the next day. Tomorrow we will talk about Linear
Equations.
14THANK YOU. Now check out the actual lesson that
the students see Go to http//titans-web.s716.ip
s.k12.in.us/millercg/edtec550/lessonplan.htm