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4-Part Math Lesson:
Number Sense & Algebra
@MathletePearce
tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Last Time…
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Math
Not Good at
Math
Struggle with
unfamiliar
problems
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
TEST QUESTION
@MathletePearcewww.tapintoteenminds.com
TEST QUESTION
@MathletePearcewww.tapintoteenminds.com
=
EXAMPLE
TEST QUESTION
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=
HOMEWORK
TEST QUESTION
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=
TEXTBOOK
@MathletePearcewww.tapintoteenminds.com
UNFAIR
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Math
Not
Good at
Math
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Memorization
Not Good at
Memorization
Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
UNFAIR
@MathletePearcewww.tapintoteenminds.com
New Knowledge
@MathletePearcewww.tapintoteenminds.com
New Knowledge
Prior Knowledge
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
MATH
SILO
1
SILO
2
SILO
3
SILO
4
@MathletePearcewww.tapintoteenminds.com
MATH
SILO
1
SILO
2
SILO
3
SILO
4
@MathletePearcewww.tapintoteenminds.com
MATH
SILO
1
SILO
2
SILO
3
SILO
4
@MathletePearcewww.tapintoteenminds.com
A VISION FOR
MATHEMATICS
EDUCATION
VISION
@MathletePearcewww.tapintoteenminds.com
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
CONFIDENCE
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Interconnected
Visual and Concrete
Contextual
PERCEPTION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
STUDENT
SUCCESS
Connections
Minds On
Consolidate
Inquiry1.
@MathletePearcewww.tapintoteenminds.com
2.
3. 4.
-Part Math Lesson4
Connections
Minds On
Consolidate
Inquiry
1.
@MathletePearcewww.tapintoteenminds.com
2.
3.
4.
-Part Math Lesson4
Interconnected
Visual and Concrete
Contextual
VISION
Connections
Consolidate
Inquiry
@MathletePearcewww.tapintoteenminds.com
2.
3.
4.
Interconnected
Visual and Concrete
Contextual
VISION
MINDS ON
-Part Math Lesson4
Consolidate
Inquiry
@MathletePearcewww.tapintoteenminds.com
2.
4.
Connect to New
Learning Goal
Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
-Part Math Lesson4
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
VISION
MINDS ON
INQUIRY
CONNECTIONS
-Part Math Lesson
Consolidate4.
4
Prior Knowledge
& Intuition
Connect to New
Learning Goal
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
4-Part
Lesson
Apply New Skill
Through Practice
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
4-Part
Lesson:Apply New Skill
Through Practice Number Sense &
Algebra
@MathletePearcewww.tapintoteenminds.com
Number Sense & Numeration
@MathletePearcewww.tapintoteenminds.com
Number Sense & Numeration
Grade 9 Academic
@MathletePearcewww.tapintoteenminds.com
Number Sense & Numeration
Grade 9 Applied
@MathletePearcewww.tapintoteenminds.com
Algebra
@MathletePearcewww.tapintoteenminds.com
Algebra
@MathletePearcewww.tapintoteenminds.com
Algebra
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
4-Part
Lesson:
Number Sense &
Algebra
@MathletePearcewww.tapintoteenminds.com
“Chunk” Into Friendly Numbers
m
ultiply
129 x
3
3 3 3 2
3
3
10
9
12
@MathletePearcewww.tapintoteenminds.com
Multiplication Chunking Model
m
ultiply
3
3 3 3 2
3
3
10
9
9 (10 + 2)
10
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Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9=
9(10 + 2 )
(10)
10
@MathletePearcewww.tapintoteenminds.com
Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9(10 + 2 )
9= (10) 9(2)+
10
@MathletePearcewww.tapintoteenminds.com
Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9(10 + 2 )
9= (10) 9(2)+
10
@MathletePearcewww.tapintoteenminds.com
Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9(10 + 2 )
9= (10) 9(2)+
90=90
10
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Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9(10 + 2 )
9= (10) 9(2)+
90=90 18+18
10
@MathletePearcewww.tapintoteenminds.com
Multiplication Chunking Model
m
ultiply
3
2
3
3
9
9(10 + 2 )
9= (10) 9(2)+
90=90 18+18
= 108
108
10
3
m
ultiply
510
@MathletePearcewww.tapintoteenminds.com
1513 x15
13
13
m
ultiply
510
13
15
@MathletePearcewww.tapintoteenminds.com
510
(10 + 5)
1513 x
=
510
10
3
m
ultiply
510
13
13
@MathletePearcewww.tapintoteenminds.com
1513 x
=
( 10 + 5 )=
3
(10 + 3 )
( 10 + 5 )
10
5
3
10
3
m
ultiply
510
13
15
13
@MathletePearcewww.tapintoteenminds.com
10 1513 x
=
( 10 + 5 )= (10 + 3 )
( 10 + 5 )
10
5
3
10
3
m
ultiply
510
13
15
13
@MathletePearcewww.tapintoteenminds.com
10 1513 x
=
( 10 + 5 )=
10
(10 + 3 )
( 10 + 5 )
= 100
100
3
10
10
3
m
ultiply
510
13
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
10
(10 + 3 )
( 10 + 5 )
= 100
100
10
3
10
3
m
ultiply
510
13
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
10
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
10
10
3
m
ultiply
510
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
3
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
10
1010
3
m
ultiply
510
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
3
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
30
+ 30
10
1010
3
m
ultiply
510
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
3
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
30
+ 30
10
1010
3
m
ultiply
510
13
@MathletePearcewww.tapintoteenminds.com
5 1513 x
=
( 10 + 5 )=
3
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
30
+ 30 + 15
15
10
3
m
ultiply
510
13
15
13
@MathletePearcewww.tapintoteenminds.com
510 1513 x
=
( 10 + 5 )=
10
3
(10 + 3 )
( 10 + 5 )
= 100
100
+ 50
50
30
+ 30 + 15
15
= 195
195
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
4-Part
Lesson:
Number Sense &
Algebra
@MathletePearcewww.tapintoteenminds.com
Introducing Distribution With Unknowns
146( )( )
@MathletePearcewww.tapintoteenminds.com
146( )( )
m
ultiply
146
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
146( )( )
m
ultiply
146
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
146( )( )
m
ultiply
6
14
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
146( )( )10 + 4
m
ultiply
6
14
Introducing Distribution With Unknowns
+x
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16( )( )x 4
m
ultiply
6
4
Introducing Distribution With Unknowns
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m
ultiply
6
14x 4
+x16( )( )x 44
Introducing Distribution With Unknowns
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m
ultiply
6
14x 4
+x16( )( )x 44
Introducing Distribution With Unknowns
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m
ultiply
6
14x 4
+x16( )( )x 44
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
6( )( )x + 4
m
ultiply
6
14x 4
6 x( )( )= 6 x( )( )=
6
x
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
m
ultiply
6
4
610=6x
1066x
14xx
6( )( )x + 4
6 x( )( )= 6 x( )( )=
Introducing Distribution With Unknowns
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
14xx
610=6x
6( )( )x + 4
6 x( )( )= 6 x( )( )=
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )=
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )= 6( )( )4+ 6( )( )4
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )= 6( )( )4+ 6( )( )4
64+24
64
24
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )= 6( )( )4+ 6( )( )4
64+24
64
24
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )= 6( )( )4+ 6( )( )4
64+24
64
24
Introducing Distribution With Unknowns
6x
x
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 1066x
x
=
6( )( )x + 4
6 x( )( )= 6 x( )( )= 6( )( )4+ 6( )( )4
64+24
64
24 =
6( )( )14
Introducing Distribution With Unknowns
60
10
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 10660
=
6( )( )10 + 4
6 x( )( )= 6 10( )( )= 6( )( )4+ 6( )( )4
64+ 24
64
24
=
6( )( )14
Introducing Distribution With Unknowns
60
10
@MathletePearcewww.tapintoteenminds.com
4
m
ultiply
6 10660
=
6( )( )10 + 4
6 x( )( )= 6 10( )( )= 6( )( )4+ 6( )( )4
64+ 24
64
24
=
6( )( )14
84=
84
Introducing Distribution With Unknowns
6xx
@MathletePearcewww.tapintoteenminds.com
Digging Deeper
5( )( )+ 6
m
ultiply
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The Distributive Property
m
ultiply
6xx5( )( )+ 61
1
1
1
1
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The Distributive Property
m
ultiply
6xx5( )( )+ 6x
1
1
1
1
1
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The Distributive Property
m
ultiply
6xx5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5
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The Distributive Property
m
ultiply
6xx5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )= x5( )( )=
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5( )( )=
x
x
x
x
x
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6+ 5( )( )6
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6+
5( )( )6+ 30
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
@MathletePearcewww.tapintoteenminds.com
The Distributive Property
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6+
+ 30
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
@MathletePearcewww.tapintoteenminds.com
Extending to Solving Equations
m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( )=
x5=
x
x
x
x
x
5( )( )6+
+ 30
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
= 85
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m
ultiply
6x
x
5( )( )+ 61x 1 1 1 1 1
1
1
1
1
1
5( )( ) =
x5 =
x
x
x
x
x
5( )( )6+
+ 30
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
= 85
85
85
Extending to Solving Equations
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Digging Deeper
x + 59( )
Find the missing “magic number”
= 99
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@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
Area,
Perimeter,
& Volume
23x3x 2
@MathletePearcewww.tapintoteenminds.com
2nd Degree Polynomials
2x( )( )+
m
ultiply
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m
ultiply
23x3x 22x( )( )+
x
x
x x x 1 1
x
x
x x x
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m
ultiply
23x3x 22x( )( )+
x
x
x x x 1 1
x
x
x x x
2x( )( )
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x
3x
22x( )( )+
x
x
x x x 1 1
x
x
x x x
)
2x( )( )=
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x3x 22x( )( )+
x
x
x x x 1 1
x2x
x
x
x x
x2 x2
x2 x2 x2
3x2x( )( )= 6x2
3x2x( )( )=
6x
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x3x 22x( )( )+
x
x
x x x 1 1
x
x
x x
x x
x x x
=
3x2x( )( )=
2x( )( )+
6x
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x3x
2
2x( )( )+
x
x
x x x 1 1
x
x
x x
x x
x x x
=
3x2x( )( )= 2x( )( )++
x
xx
x
xx
6x
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x3x
2
2x( )( )+
x
x
x x x 1 1
x
x
x x
x x
x x x
=
3x2x( )( )= 2x( )( )++
x
xx
x
xx
22x( )( )+ 4x
4x6x2
@MathletePearcewww.tapintoteenminds.com
m
ultiply
23x3x
2
2x( )( )+
x
x
x x x 1 1
x2
x
x x
x2 x2
x2 x2 x2
=
3x2x( )( )= 2x( )( )+
x
xx
x
xx
+6x2 4x
3x3x
@MathletePearcewww.tapintoteenminds.com
4x( )( )
2nd Degree Equations
Find the missing “magic number”
= 300
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@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
Area,
Perimeter,
& Volume
8x
@MathletePearcewww.tapintoteenminds.com
7x( )( )
2nd Degree Equations
Find the missing “magic number”
= 2,744
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@MathletePearcewww.tapintoteenminds.com
Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
Area,
Perimeter,
& Volume
Task
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
I’ve got a yard…So…
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… and I needI’ve got a yard…
… and I need
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What do weWhat is the
… and I need
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a fence.
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What do we
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PERIMETER
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What is the
perimeter…
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What is the perimeter…
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What is the perimeter…
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What is the perimeter…
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What is the perimeter…
@MathletePearcewww.tapintoteenminds.com
2 ft
What is the perimeter…
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2 ft 2 ft
What is the perimeter…
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What is the perimeter…
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
What is the perimeter…
n+24n+24
nn1212
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
P = l+ l + w + w
n+24n+24
nn1212
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
P = l+ l + w + w
n+24n+24
nn1212
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
P = ll + w + w2
n+24n+24
nn1212
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
P = ll + w + w2
n+24n+24
nn1212
n+24n+24
nn1212
@MathletePearcewww.tapintoteenminds.com
P = ll + ww2
n+24n+24
nn1212
n+24n+24
nn1212
2
@MathletePearcewww.tapintoteenminds.com
P = ll + ww2
n+24n+24
nn1212
n+24n+24
nn1212
2( )
ll
@MathletePearcewww.tapintoteenminds.com
P = + ww2
n+24n+24
n
n
12
12
n+24n+24
n
n
12
122( )
ll
@MathletePearcewww.tapintoteenminds.com
P = + ww2
n+24
n+24
n
n
12
12
n+24
n+24
n
n
12
122( )
ll
@MathletePearcewww.tapintoteenminds.com
P = +2
n+24
n
n
12
12
n+24
n12
( )n+24
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
LIKE TERMS
llP = +2 n12( )n+24
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
LIKE TERMS
llP = +2 n12( )n+2416
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12( )n+2416ll +n12( )n+2416
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12( )n+2416ll +n12( )n+2416 ( )n+216+
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12( )n+2416ll +n12( )n+24162
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12( )n + 2416ll +n12 ()n + 2416 2
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12 )n + 2416ll +n12 (n + 2416 232
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12 )n + 2416ll +n12 (n + 2416 232
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12n + 2416ll +n12n + 2416 232 4
@MathletePearcewww.tapintoteenminds.com
n+24
n12
n+24
n12
llP = +2 n12n + 2416ll +n12n + 2416 232 4
@MathletePearcewww.tapintoteenminds.com
I also need…
fertilizer.
@MathletePearcewww.tapintoteenminds.com
I also need…
What do we
@MathletePearcewww.tapintoteenminds.com
fertilizer.
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
What do we
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
AREA
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
What is the area
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
n2
n
n
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
n2
n
n n2
n
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
n2
n
n n2
n
n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n n n n n n n n n n
n
n
n
@MathletePearcewww.tapintoteenminds.com
2 ft 2 ft
n2
n
n n2
n
n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2 n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n2 n2 n2 n2
n n n n n n n n n n
n
n
n
2n 2n 2n 2n 2n 2n 2n 2n 2n 2n 2n 2n
@MathletePearcewww.tapintoteenminds.com
n+24n+24
n+24n+24
nn1212
nn1212
@MathletePearcewww.tapintoteenminds.com
n+24n+24
nn1212
n+24n+24
nn1212
A = lw
@MathletePearcewww.tapintoteenminds.com
n+24n+24
nn1212
n+24n+24
nn1212
A = lw
@MathletePearcewww.tapintoteenminds.com
n+24n+24
n
n
12
12
n+24n+24
nn1212
A = l w( )
@MathletePearcewww.tapintoteenminds.com
n+24n+24
n
n
12
12
n+24n+24
nn1212
A = l w( )
n + 24n12 n+ 24( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = l w( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = ( )( )n + 24n12 n+ 24( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = w( )( )n12 n+ 24( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = w( )( ) n12 n+ 2 4( )( )= n12 n4( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = w( )( ) n12 n+ 2 4( )( )=
n12 n4( )( )
@MathletePearcewww.tapintoteenminds.com
n+24
n + 24
n
n
12
12
n+24
n+ 24
nn1212
A = w( )( ) n12 n+ 2 4( )( )=
n12 n4( )( )
n + 24n12 n+ 24 w( )( )+ 2
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12 n+ 4( )( )=
n12 n4( )( )
n+4 n12+w ( )( )+ 2n12( )( )2
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12 n+ 4( )( )=
n12 n4( )( )
n+4 n12+w ( )( )+ 2
n12( )( )2
+
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12 n+ 4( )( )=
n12 n4( )( )
n+4 +w+
n12( )( )2
n12( )( )2+
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12 n+ 4=
n12 n4
n+4 +w+
n12( )( )2
n12( )( )2+
48
48
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12n+ 4=
n12 n4
n+4 +w+
n12( )( )2
n12( )( )2+
48
48
n2
n2
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12n+ 4=
n12 n4
n+4 +w+
n12( )( )2
n12( )( )2+
48
48
n2
n2
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12n+ 4=
n12 n4
n+4 +w+
n122
n122+
48
48
n2
n2
24
24
@MathletePearcewww.tapintoteenminds.com
n+24
n+24
n
n
12
12
n+24
n+24
nn1212
A = w( )( ) n12n+ 4=
n12 n4
n+4 +w+
n122
n122+
48
48
n2
n2
24
24
@MathletePearcewww.tapintoteenminds.com
If…
@MathletePearcewww.tapintoteenminds.com
fencing has a cost of
@MathletePearcewww.tapintoteenminds.com
fencing has a cost of
$24.50 per foot…
@MathletePearcewww.tapintoteenminds.com
and
@MathletePearcewww.tapintoteenminds.com
fertilizer
@MathletePearcewww.tapintoteenminds.com
fertilizer
has a cost of
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
… and covers
1800 feet-squared
@MathletePearcewww.tapintoteenminds.com
$24.50
per foot…
How… and covers
1800 feet-squared
@MathletePearcewww.tapintoteenminds.com
$24.50
per foot…
covers 1800
feet-squared
How
5.25 feet
Your Turn…
@MathletePearcewww.tapintoteenminds.com
Your Turn…
@MathletePearcewww.tapintoteenminds.com
Think of an example involving
number sense and algebra that
you could introduce using
context and visuals.
Share…
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Find More Like This:
@MathletePearcewww.tapintoteenminds.com

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