# Module 4 Unit 1 Notes by kccervenka

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```									                                           November 30, 2012

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6th
Module
5
Unit
2
Day
15
Notes

Sequence-­‐
an
ordered
set
of
_______________________

Term-­‐
each
number
in
the
__________________________

Arithme0c
Sequence-­‐
each
term
in
the
sequence
changes
by
the
________________amount
each
?me.

Example
1:

Iden?fy
a
paCern
in
each
arithme?c
sequence
and
then
ﬁnd
the

next
two
terms.

a)      3, 15, 27, 39, ...                                                                           a)   12, 21, 30, 39,...

Not
all
paCerns
are
arithme?c
sequences:

Arithmetic Sequence                                                 Not Arithmetic Sequence
2,4,6,8,…..                                                              1,3,6,10,…

20,35,50,65,….                                                           2,6,18,54,….

Example
2:

Iden?fy
a
paCern
in
each
sequence.

Name
the
missing
terms.

a)     4, 15, 8, 19, 12, 23, 16

Position                                          1             2    3           4            5           6           7      8   9
Value of Term                                     1             6    2           12                       24          8          16

Func0on-­‐
a
rule
producing
__________
output
value
for
every
________________value

Input-­‐
value
subs?tuted
in
(____________________________
variable:
x-­‐value)

Output-­‐
result
given
from
the
input
(_______________________________variable:
y-­‐value)

Example
3:

Find
the
output
for
each
input.

Input (x-value)                                      Rule (equation)                               Output (y-value)
x                                                                  4x-2                            Y

0                                                                4(0)-2                            -2

1
2

y = 6x2

Input (x-value)                         Rule (equation)                                                  Output (y-value)
x                                                                                             Y
0
1

5

Example
4:

Make
a
func?on
table,
and
graph
the
resul?ng
ordered
pairs.
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6th
Module
5
Unit
2
Day
16
Notes

Review
the
Distribu0ve
Property:

Example
1:

Use
the
distribu?ve
property
to
write
an
equivalent
expression.
Then
evaluate
the
expression.

a)

Factoring-­‐
opposite
of
distribu?ng

Example
2:

Use
the
distribu?ve
property
to
write
an
equivalent
expre

3(11) - 3(4)
c) 6( 1 ) + 6( 6 )
a)

7        7

b) 7(9) + 7(5)

Example
3:

Use
the
distribu?ve
property
to
ﬁnd
each
product.

a)
9(15)
Method
#1:                                                      Method
#2

Example
4:

Recognizing
equivalent
expressions.

Are
these
expressions
equivalent?
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6th
Module
5
Unit
2
Day
17
Notes

Review
Like
Terms:

Remember
when
you
terms,
each
term
to
have
the
SAME
variable.

Example
1:

Combine
Like
Terms
to
Simplify
these
Expressions

a)                                                                                                         b)

c)

Mul0plying
Terms:

When
mul0plying
terms,
each
term
does
NOT
have
to
have
the
same
variable.

**Mul?ply
the
coeﬃcients
(number
in
______________________of
the
variable)

Example
2:

Simplify
each
expression.

a) 3 x 4x                                                           b) y (2)                                           c)     5(x+6)

d)           2(y2-3)                                                e) 5+4(2+8x)                                            f) 2(4+2x)-x

Example
3:

Simplify
each
expression
by
wri?ng
it
with
exponents.

Then
solve.

a)      2x2x2x2                                                      b)    y   x
y   x
y                                c) 2 3 x

d)             xxy                                                  e)    x   x   yx x         x
y   x
x                 f)   x(3+y)

g)              n(n-3)                                               h)           5(x+3) + 4(y+4)
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November 30, 2012
November 30, 2012

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6th
Module
5
Unit
2
Day
18
Notes

Conver0ng
Time:

Example
1:

Convert.

a)             450
min
=
________

h                                                                                              c)             1
min
45
sec
=
_________s

b)             6
weeks
=
________h

Example
2:

Finding
Elapsed
Time

a)            Jamie’s
ﬂight
to
London
was
scheduled
to
arrive
at
9:10
A.M.

It
was
4
hours
25
minutes
late.

When
did
it
arrive?

b)                                                  Jamie’s
friend
Tina
joined
her
in
London.

Tina’s
ﬂight
arrived
at
2:30
P.M.

The
ﬂight
was
3
hours
15
minutes
long.

At
what
?me
did
Tina’s
plane
depart?

Temperature Conversions

To convert Celsius to Fahrenheit
To convert Fahrenheit to Celsius

Example
3:

Find
the

temperature.

a)                                                                                                                      b)

c)

a)                 The
formula
for
conver?ng
Celsius
temperatures
to
Fahrenheit

temperatures
is
.

Sterling
silver
melts
at
approximately

.

What
is
the
approximate
Fahrenheit
temperature?
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GOOD LUCK
November 30, 2012

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November 30, 2012
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