Learning
Objectives:
Learning
Objectives:
Learning
Objectives:
Order
ofofOperations
Order
of
Operations
Order
Operations
Mini-Lecture
2.6
Mini-Lecture
2.6
Mini-Lecture
2.6
Order
Operations
Simplify
expressions
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order
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Operations
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expressions
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order
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operations.
Order
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expressions
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order
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Learning
Objectives:
Learning
Objectives:
Learning
Objectives:
Evaluate
an
algebraic
expression.
Evaluate
analgebraic
algebraic
expression.
2.2. 2.Evaluate
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2.6
1.1. 1.Simplify
expressions
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order
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Mini-Lecture
2.6
Simplify
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order
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Simplify
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Mini-Lecture
2.6
Learning
Objectives:
Learning
Objectives:
Learning
Objectives:
2.2. 2.Evaluate
an
algebraic
expression.
Order
of
Operations
Evaluate
anan
algebraic
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Evaluate
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Order
Operations
2.6 Order
of
Operations
Order
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Operations
Examples:
Examples:
Examples:
Mini-Lecture
2.6
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operations.
Mini-Lecture
2.6
Mini-Lecture
2.6
Simplify
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Order of Operations
Examples:
Examples:
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Learning
Objectives:
Learning
Objectives:
Learning
Objectives:
Mini-Lecture
Mini-Lecture2.6
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Objectives:
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22Notes:
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thetextbook.
textbook.
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z
working
with
many
operations
in
one
expression.
2
working
with
many
operations
in
one
expression.
-.a) Refer
to Order of Operations
x8 x" y students
"z
b) 2 y ! 3inz "the
x textbook.
c) x ! y " z
Encourage
students
totoperform
one
operation
-.-. -.d)
Many
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
2 2 atata
3
Many
students
confuse
the
addition/subtraction
rules
with
thethe
multiplication/division
when
Encourage
students
perform
one
operation
aattime.
time.
88xstudents
x
Many
students
confuse
the
addition/subtraction
rules
with
multiplication/division
rules
when
Encourage
students
to
perform
one
operation
a
time.
2
e)
5
y
!
x
f)
d)
e)
!!
x x textbook.
f)f)x x3"
d)2 ystudents
e) 5expression.
5yinyin
x3"yz
"yzyz
with
many
operations
in
one
-.-. -.working
Refer
to
Order
of
Operations
the
working
with
many
operations
in
one
expression.
Refer
students
to
Order
of
Operations
the
textbook.
working
with many
operations
in one expression.
22y y students
Refer
to Order
of Operations
in the textbook.
Teaching
-.-. -.Encourage
totoperform
one
operation
at
Teaching
Notes:
Encourage
students
perform
oneone
operation
at aa time.
time.
Teaching
Notes:
8 xNotes:
8 x students
Encourage
students
to
perform
operation
2 2 at a time.
8
x
16.
17.
18.f)1i)f)x31;3x"31j)
d)
d)
e)
e)
5
y
5
!
y
x
!
x
yz
"yzyz
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;
1g) 61; 1h) -2;
1; 1k) 2; 1l) –9’
2
-.-. -.d)
Refer
students
toto to
Order
of
Operations
in
the
textbook.
Refer
students
Order
of
Operations
in
the
textbook.
e)
5
y
!
x
Refer
students
Order
of
Operations
in
the
textbook.
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;
1g)
61;
1h)
-2;f)1i)x 1;" 1j)
1; 1k) 2; 1l) –9’
2 yy 2c)
2 ystudents
2a) 2;
2b)
12;
2;
2d)
-2;
2e)
21;
2f)
-33
-.
Many
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
when
2
-.
Many
students
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
when
2a)Answers:
2;
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
-. 2b)
Many
students
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
when
1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k)
2; 1l)
–9’
working
with
many
operations
in
one
expression.
one
expression.
working
with
many
operations
one-33
expression.
2a) 2;working
2b)
12; with
2c) many
2;
2d)operations
-2; 2e) 21;inin2f)
Teaching
Notes:
Teaching
Notes:
Teaching
Notes:
-.
Encourage
students
to
perform
one
operation
at
a time.
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;a5;
1g)
61;
1h)
-2;
1i)
1;1; 1j)
1;1; 1k)
2;2; 1l)
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;11;
1f)
1g)
61;61;
1h)1h)
-2;-2;
1i)1i)
1j)1j)
1k)1k)
1l)–9’
–9’–9’
-.
Encourage
students
to
perform
one
operation
atat
-. Encourage
to perform
atime.
time.
Answers:
1a) 28; students
1b) 13; 1c)
-47; 1d)one
-25;operation
1e)
1f)
5;
1g)
1;
1;
2;
1l)
2a)
2;2; 2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
2a)2a)
2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
-.
Refer
students
to
Order
of
Operations
in
the
textbook.
M-15
Copyright
© 2007
Pearson
publishing
as Pearson
Prentice Hall
Refer
students
to
Order
of
Operations
the
2b) students
12;
2c)
2;
-2;
2e)
21; Education,
2f) -33ininInc.,
-. 2;
Refer
students
to2d)
Order
of
Operations
thetextbook.
textbook.
-.-.
Many
confuse
the
addition/subtraction
rules
with
multiplication/division
rules
when
M-15
-.
Many
students
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
when
Copyright
© -47;
2007
Pearson
Education,
Inc.,
publishing
as the
Pearson
Prentice
Hall
Teaching
Teaching
Notes:
Notes:
-.
Many
students
confuse
the
addition/subtraction
rules
with
the
multiplication/division
rules
when
Answers:
1a)
28;
1b)
13;
1c)
1d)
-25;
1e)
11;
1f)
5;
1g)
61;
1h)
-2;
1i)
1;
1j)
1;
1k)
2;
1l)
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;
1g)
61;
1h)
-2;
1i)
–9’
Teaching
Notes:
Answers:
1a) with
28; 1b)
13; operations
1c) -47; 1d)
-25;expression.
1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
working
many
in
one
working
with
many
operations
in
one
expression.
M-15
2a)
2;2; 2b)
12;
2c)
2;2;Copyright
2d)
-2;
2e)
21;
2f)
-33
2a)2a)
12;12;
2c)2c)
2d)
-2;-2;
2e)
21;
2f)in
-33
©
2007
Pearson
Education,
Inc., publishing as Pearson Prentice Hall
with
many
operations
one
2;2b)working
2b)
2;
2d)
2e)
21;
2f)
-33expression.
-.
Encourage
students
tototo
perform
one
operation
atataatrules
time.
-.
Encourage
students
perform
one
operation
a
time.
-.
-.
Many
Many
students
students
confuse
confuse
the
the
addition/subtraction
addition/subtraction
rules
with
with
the
the
multiplication/division
multiplication/division
rules
rules
when
when
-.
Encourage
students
perform
one
operation
a
time.
-. Many students
confuse
the
addition/subtraction
rules as
with
the multiplication/division
rules when
M-15
M-15
Copyright
©©2007
Education,
Inc.,
publishing
Prentice
Copyright
2007
Education,
Inc.,
publishing
asPearson
Pearson
PrenticeHall
Hall
-.-.-. Refer
students
tototomany
Order
ofPearson
Operations
ininexpression.
the
textbook.
M-15
Copyright
©operations
2007
Pearson
Inc.,
publishing as Pearson Prentice Hall
Refer
students
Order
ofPearson
Operations
the
textbook.
working
working
withwith
many
operations
in
inEducation,
one
expression.
Refer
students
Order
of
Operations
in
the
textbook.
working
with
many
operations
in one
one
expression.
Answers:
1a)
28;
1b)
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;
1g)
61;
1h)
-2;
1i)
1;
1j)
1;
1k)
2;
1l)
–9’
-. -.
Encourage
Encourage
students
students
to
perform
to Pearson
perform
one
one
operation
at
time.
a1g)
time.
Answers:
1a)
28;
13;
1c)
-47;
1d)
-25;
1e)
11;
1f)
5;a5;
1g)
61;
1h)
1i)
1j)
-.
Encourage
students
to2007
perform
one
operation
at
aat
time.
Answers:
1a)
28;1b)
1b)
13;
1c)
-47;
1d)
-25;
1e)operation
11;
1f)
61;
1h)-2;
-2;
1i)1;Hall
1;
1j)1;1;1k)
1k)2;2;1l)1l)–9’
–9’ M-15
Copyright
©©
Education,
Inc.,
publishing
as
Pearson
Prentice
Copyright
2007
Pearson
Education,
Inc.,
publishing
as
Pearson
Prentice
Hall
M-15
Copyright
© 2007
Pearson
Education,
Inc.,
publishing
as Pearson
Prentice
Hall
2a)
2;
2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33in the
2a)
2;
2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
-.
-.
Refer
Refer
students
students
to
Order
to
Order
of
Operations
of
Operations
in
the
textbook.
textbook.
2a)-.2; Refer
2b) 12;students
2c) 2; to
2d)Order
-2; 2e)
2f) -33 in the textbook.
of 21;
Operations
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Answers:
1a) 28;
1b) 13;
1c) -47;
1d)
-25;
1e)
11; 1f)
5; 1g)
61; 1h)
-2; 1i)1i)1;1;1j)1j)1;1;1k)
2; 1l) –9’
Answers:
1d)
-25;
1e)
1h)
Answers:1a)
1a)28;
28;1b)
1b)13;
13;1c)
1c)-47;
-25;Education,
1e)11;
11;1f)
1f)5;publishing
5;1g)
1g)61;
61;
1h)-2;
-2;Prentice
1i) 1; Hall
1j) 1;1k)
1k)2;2;1l)
1l)–9’
–9’ M-15
M-15
Copyright
©-47;
20071d)
Pearson
Inc.,
as Pearson
M-15
2a)
2;
2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
Copyright
©
2007
Pearson
Education,
Inc.,
publishing
as
Pearson
Prentice
Hall
Copyright
© 2007
Pearson
Education,
Inc., publishing as Pearson Prentice Hall
2a)
2;
2b)
12;
2c)
2;
2d)
-2;
2e)
21;
2f)
-33
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
Answers:
Answers:
1a) 1a)
28; 28;
1b) 1b)
13; 13;
1c) 1c)
-47;-47;
1d) 1d)
-25;
1e)
11;
1f)
5;
1g)
61;
1h)
-2;
1i)
1;
1j)
1k)2;
1l)
–9’
–9’
-25;-25;
1e)1e)
11;11;
1f)1f)
5; 5;
1g)1g)
61;61;
1h)1h)
-2;-2;
1i)1i)
1;1;
1j)1j)1;
1;1;1k)
1k)
2;2;1l)
1l)
–9’