ON TASK,
ON TIME!
12/01
• Welcome back! Did you
have a good break?
• Entry Task:
• On the sticky handed
you as you walked in
(or on your desk),
describe your break in
3 words or less.

I can determine an
inverse relationship
and create an
equation to describe
it.
Pun of the day:
(Thanksgiving Themed)
With a partner, you need a lab paper, a
pencil, ruler, tape, and 10 pennies
5. Graph your points (from the table) on a graph with
the number of pennies on the x-axis and the distance
from the fulcrum on the y-axis. Then draw a smooth
curve through your points.
Task
• On the same
sticky you did
your entry task
on, describe the
lesson in 3
words or less.
No HW
0
1
2
3
4
I can solve problems
involving direct,
inverse, joint, and A-REI.2
combined variation. F-BF.1
12/02
ON TASK,
ON TIME!
Days until break: 17
• Grab a book
• Entry Task:
Using the following table, find
“x” times “y”
Pennies
1
2
3
4
5
6
Distance
(cm)
90
45
30
23
18
15
Question of the day: Which US state
was the first to make Christmas an official
holiday? Alabama
Section 8-1 Day 1
 Some Vocab
Rational Function- Has the form
𝑝(𝑥) and 𝑞(𝑥) are polynomials.
𝑝(𝑥)
𝑞(𝑥)
where
Basically, a function that is a fraction…
Direct Variation- A relationship between
two variables x and y that can be written
as 𝑦 = 𝑘𝑥 where k is a constant.
Task
• Solve for k
given that x
and y vary
directly and
x=7 and
y=21.
HW Sec.8-1
#’s 2-8 all
0
1
2
3
4
I can determine the
difference between a direct
and an inverse function.
I can solve problems
involving direct, inverse,
joint, and combined
variation.
12/03
A-REI.2
F-BF.1
ON TASK,
ON TIME!
Days until break: 16
• Grab a book
• Entry Task:
• Given y varies directly with x, write and
graph a function for y=8 when x=2.
Question of the day: Electric Christmas
tree lights were first used in what year?
A. 1925 B. 1700 C. 1895 D. 1825
Homework check
Below are selected answers
from your homework. Please
grade your answers as right or
wrong and give yourself a
score out of 3 for the day:
Answer for 2: 𝑦 = 2𝑥
Answer for 4: 𝑦 = 12𝑥
Answer for 6: 𝑡 = 23 ℎ𝑜𝑢𝑟𝑠
Vocabulary
Inverse Variation: A
relationship between two
variables where x and y can be
𝑘
written in the form 𝑦 = where
𝑥
k is a constant not equal to 0.
Example 1
Given y varies
inversely as x, and
y=3 when x=8. Write
and graph the inverse
variation function.
Example 2
The time it takes (t) for ASB to hang
posters around the school varies
inversely as the number of ASB
students, s. If 20 students can hang
a set of posters in 62.5 minutes,
how many students would be
needed to hang the set of posters in
25 minutes?
Task
Section 8.1
#'s 9-15 all
• Determine
whether the
following is a
direct or inverse
variation function:
X
5
35
125
y
1
7
25
0
1
2
3
4
I can divide rational
expressions.
I can simplify
A-SSE.2
rational functions.
12/04
ON TASK,
ON TIME!
Days until break: 15
A-APR.6
• Entry Task: Grab a book
• The number of days it takes a theatre crew to
set up a stage for a musical varies inversely
as the number of workers. If the stage can be
set up in 3 days by 20 workers, how many
days would it take if only 12 workers were
available?
Question of the day: Which US state
was the last to make Christmas an official
holiday? Oklahoma
Homework check
Below are selected answers from
your homework. Please grade
your answers as right or wrong
and give yourself a score out of
3 for the day:
Answer for 10: 𝑦 =
32
𝑥
Answer for 12: 5.7 ℎ𝑜𝑢𝑟𝑠
Answer for 14: 𝑖𝑛𝑣𝑒𝑟𝑠𝑒 𝑣𝑎𝑟𝑖𝑎𝑡𝑖𝑜𝑛
Review of knowledge
Simplify the following:
𝑥 5 𝑥 2 =
5
𝑦 𝑦
𝑥8
 3
𝑥
=
𝑦2
 5
𝑦
=
4
=
Review of knowledge con…
Factor the following:
2
𝑥
− 2𝑥 − 8 =
2
𝑦
− 5𝑦 =
Extended Learning
Simplify then identify
the values of x that
make the expression
undefined:
4𝑥 9
 3
5𝑥
=
𝑥 2 −2𝑥−3
 2
𝑥 −𝑥−6
New Learning
Divide the following
rational expressions:
5𝑥 4
 2 2
8𝑥 𝑦
÷
𝑥 5 −4𝑥 3
 2
𝑥 −𝑥−2
15
8𝑦 5
÷
𝑥 5 −𝑥 4 −2𝑥 3
𝑥 2 −1
Task
• In your notebook:
What is the first
step when dividing
rational functions?
Section 8-2
#’s 2,7,1114,18,19,20
0
1
2
3
4
I can multiply
ON TASK,
ON TIME!
12/05
rational functions.
Days until break: 14
I can show my A-SSE.2
knowledge. A-APR.6
A-REI.2
• Entry Task:
• We will begin with your Friday Quiz after I
answer some questions from your homework.
Please have out your homework and calendar
to be stamped. I will send around the
homework score sheet while you quiz.
Question of the day: What flower was
printed on the first Christmas stamp?
Rose
Homework check
Below are selected answers from
your homework. Please grade your
answers as right or wrong and give
yourself a score out of 4 for the
day:
Answer for 12:
Answer for 14:
Answer for 18:
Answer for 20:
1
𝑥−1
𝑥+1
𝑥+3
4
𝑥
𝑥
𝑥+6
𝑥−6
≠ 0, 𝑥 ≠ 2
𝑥≠6
Review of learning/ new concept
Multiply the following
rational expressions:
3𝑥 5 𝑦 3
10𝑥 3 𝑦 4
 3 7∎ 2 5
2𝑥 𝑦
9𝑥 𝑦
𝑥−3
𝑥+5

∎ 2
4𝑥+20
𝑥 −9
New learning
Solving Simple rational
equations
Solve the following rational
functions for the unknown
variable:
𝑥 2 −25

𝑥−5
= 14
𝑥 2 +3𝑥−4

𝑥−1
= 23
𝑥 2 +3𝑥−10

𝑥−2
=7
Task
Make sure you
filled out the
homework score
sheet!!!! 
No HW
0
1
2
3
4