Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete
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Transcript of Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete
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Making Math Contextual, Visual, and Concrete
@MathletePearcewww.tapintoteenminds.com
tapintoteenminds.com/prma
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@MathletePearcewww.tapintoteenminds.com
Making Math Contextual, Visual,
and Concretetapintoteenminds.com/prma
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@MathletePearcewww.tapintoteenminds.com
PROBLEM
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ENGAGED YET?
@MathletePearcewww.tapintoteenminds.com
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ENGAGED YET?
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
ENGAGEMENT“There are several types/categories of engagement – academic, cognitive, intellectual, institutional, emotional, behavioural, social, psychological, to name a few.”
Parsons, J., & Taylor, L. (2011). Student Engagement: What do we know and what should we do? University Partners (pp 3). University of Alberta.
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@MathletePearcewww.tapintoteenminds.com
Math Class
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@MathletePearcewww.tapintoteenminds.com
MathClass
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1. Take Up Homework
@MathletePearcewww.tapintoteenminds.com
Math Class
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@MathletePearcewww.tapintoteenminds.com
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
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@MathletePearcewww.tapintoteenminds.com
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
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@MathletePearcewww.tapintoteenminds.com
4. Homework
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
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Example 1(a) List all combinations of three out of the four colours: red, blue, white, and green.
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@MathletePearcewww.tapintoteenminds.com
My Result:
Successfulin Math
Unsuccessfulin Math
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@MathletePearcewww.tapintoteenminds.com
A Perception Develops
Good atMath
Poor atMath
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@MathletePearcewww.tapintoteenminds.com
Not
Confident in Math Class
Doubtful inMath Class
Students Feel…
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@MathletePearcewww.tapintoteenminds.com
Not
EnjoyingMathematics
Disliking Mathematics
This May Lead To…
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@MathletePearcewww.tapintoteenminds.com
Not
Willingnessto Engage InMath Class
Unwillingness to Engage In Math Class
This May Lead To…
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@MathletePearcewww.tapintoteenminds.com
Not
Moving Ahead Falling Behind
This May Lead To…
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@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Not
Good atMath
Poor atMath
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@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at Math
Poor atMath
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@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at Math
Poor atMath
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@MathletePearcewww.tapintoteenminds.com
Two Groups of StudentsStruggle with
unfamiliarproblems
Good at Math
Poor atMath
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@MathletePearcewww.tapintoteenminds.com
A VISION FOR MATHEMATICS
EDUCATION
VISION
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@MathletePearcewww.tapintoteenminds.com
Contextual
VISION
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@MathletePearcewww.tapintoteenminds.com
Visual and ConcreteContextual
VISION
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@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
VISION
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@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
CONFIDENCE
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@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
PERCEPTION
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@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and ConcreteContextual
STUDENT SUCCESS
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Change
@MathletePearcewww.tapintoteenminds.com
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Change
@MathletePearcewww.tapintoteenminds.com
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Change
@MathletePearcewww.tapintoteenminds.com
Immune to
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http://www.vancouversun.com/life/From+geek+chic/6296707/story.htmlPhotograph by: Maggie Wong
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com https://mathstrategies.wordpress.com/tag/numb3rs/
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http://www.wykamath.com/
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entertainment
engagement=
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
algorithm
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what’sthis?
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@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
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algorithms
engagement=
@MathletePearcewww.tapintoteenminds.com
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algorithms
engagement=
understandingor
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
playkh.complaykh.comGo to:
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@MathletePearcewww.tapintoteenminds.com
wiz623
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Notice? Wonder?
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How many packs of paper would it take to reach the ceiling?
4. Consolidate3. Connections
2. Inquiry
OUR FIRST QUESTION:
QUESTIONSPREDICTIONS
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@MathletePearcewww.tapintoteenminds.com
PREDICTIONS
wiz623
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@MathletePearcewww.tapintoteenminds.com
REQUEST INFORMATION
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@MathletePearcewww.tapintoteenminds.com
How many packs of paper will it take to reach a
height of 273 cm?
height
273
cm24.7
5 cm
wiz623
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QUESTION
@MathletePearcewww.tapintoteenminds.com
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QUESTION
@MathletePearcewww.tapintoteenminds.com
Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is
273 cm, how many reams of paper would he need to reach the ceiling?
Answer Key: 55.15
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QUESTION
@MathletePearcewww.tapintoteenminds.com
Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is
273 cm, how many reams of paper would he need to reach the ceiling?FUN, RIGHT?
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Answer Key: 55.15QUESTION
@MathletePearcewww.tapintoteenminds.com
Mr. Pearce stacks reams of paper vertically against a wall. If the height of 5 reams is 24.75 cm and the height of the room is
273 cm, how many reams of paper would he need to reach the ceiling?
Answer Key: 55.15
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Making Connections
@MathletePearcewww.tapintoteenminds.com
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@MathletePearcewww.tapintoteenminds.com
How many packs of paper will it take to reach a
height of 273 cm?
height 273
cm24.7
5 cm
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@MathletePearcewww.tapintoteenminds.com
273
cm
24.7
5 cm
=24
.75
cm24
.75
cm
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@MathletePearcewww.tapintoteenminds.com
273
cm=
24.7
5 cm
24.7
5 cm
24.7
5 cm
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@MathletePearcewww.tapintoteenminds.com
273
cm
=
24.7
5 cm
24.7
5 cm
24.7
5 cm
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@MathletePearcewww.tapintoteenminds.com
273
cm
=
25 c
m
25 c
m
25 c
m
Friendly Numbers
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
25 c
m
Friendly Numbers
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
25 cm
Friendly Numbers
Height
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
25 cm25 cm
Height
50 cm
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
25 cm25 cm
Height
25 cm
75 cm
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
25 cm25 cm
Height
25 cm25 cm
100 cm
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@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
25 cm25 cm
Height
25 cm25 cm
200 cm
25 cm25 cm
25 cm25 cm
![Page 81: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/81.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers100 cm
Height
300 cm
100 cm
100 cm
![Page 82: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/82.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers100 cm
Height
275 cm
100 cm
75 cm
![Page 83: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/83.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers100 cm
Height
275 cm
100 cm
75 cm
![Page 84: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/84.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers“Array”
![Page 85: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/85.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly NumbersArea Model
![Page 86: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/86.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
5 pa
cks
11 groupsArea Model
![Page 87: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/87.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
5 pa
cks
11 groups
55 packs
Area Model
![Page 88: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/88.jpg)
5 pa
cks
11 groups
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
5 pa
cks
11 groups
55 packs
5 pa
cks
11 groups
55 packs
Area Model
![Page 89: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/89.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
5 pa
cks
11 groups
55 packs
5 pa
cks
11 groups
55 packs
25 c
m
11 groups
Area ModelDouble
![Page 90: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/90.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
=
25 c
m
25 c
m
Friendly Numbers
5 pa
cks
11 groups
55 packs
5 pa
cks
11 groups
55 packs
25 c
m
11 groups
275 cm
Area ModelDouble
![Page 91: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/91.jpg)
@MathletePearcewww.tapintoteenminds.com
275
cm
25 c
m
Friendly NumbersDouble Number Line
![Page 92: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/92.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
![Page 93: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/93.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
![Page 94: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/94.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25
Number of Packs
Total Height
![Page 95: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/95.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
![Page 96: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/96.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
75
15
250
50
Number of Packs
Total Height
20
100 125
25
150
30 35
175 200
40
225
45 55
275
![Page 97: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/97.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
![Page 98: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/98.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
20
100
![Page 99: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/99.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
20
100 200
40
![Page 100: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/100.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
20
100 200
40
250
50
225
45 55
275
![Page 101: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/101.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
5
25 50
10
Number of Packs
Total Height
20
100 200
40
250
50
225
45 55
275275
5
25
![Page 102: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/102.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x
275
5
25
5
25
![Page 103: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/103.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x5
25
5
?x27525
![Page 104: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/104.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x
275
5
25
5
25
?x
= 11111111
![Page 105: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/105.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x
275
5
25
5
25
x
= 1111
11
11
![Page 106: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/106.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x
275
5
25
5
25
x
= 11 11
11
x 11
![Page 107: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/107.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
x
275
5
25
525
x
= 1111
11
x11x = 5555
![Page 108: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/108.jpg)
Friendly NumbersDouble Number Line
275
cm
25 c
m
0
0
Number of Packs
Total Height
275
275
5
25
525
x
= 1111
11
x11x = 55
55
![Page 109: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/109.jpg)
How many packs of paper would it take to reach the ceiling?
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many packs of paper will it take to reach a
height of 273 cm?3. Connections
packs of paper
height 273
cm
4.95 cm
![Page 110: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/110.jpg)
How many packs of paper would it take to reach the ceiling?
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many packs of paper will it take to reach a
height of 273 cm? 4. Consolidate3. Connections
packs of paper
height 273
cm
4.95 cm
![Page 111: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/111.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
2. Inquirypacks of paper heightIndependent Dependent
273
cm
4.95 cm
40
![Page 112: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/112.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 0
packs of paper heightIndependent Dependent
![Page 113: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/113.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 01 4.95
packs of paper heightIndependent Dependent
![Page 114: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/114.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 01 4.952 9.9
packs of paper heightIndependent Dependent
![Page 115: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/115.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 01 4.952 9.9
packs of paper heightIndependent Dependent
4 19.8
![Page 116: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/116.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 01 4.952 9.9
packs of paper heightIndependent Dependent
4 19.840 198
![Page 117: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/117.jpg)
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate3. Connections
0 01 4.952 9.9
packs of paper heightIndependent Dependent
4 19.840 198
![Page 118: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/118.jpg)
@MathletePearcewww.tapintoteenminds.com
packs of paper height:
![Page 119: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/119.jpg)
@MathletePearcewww.tapintoteenminds.com
packs of paper
height
![Page 120: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/120.jpg)
@MathletePearcewww.tapintoteenminds.com
packs of paper
height24.75 cm
5 reams= =
![Page 121: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/121.jpg)
@MathletePearcewww.tapintoteenminds.com
24.75 cm
5 reams= =
273 cm
How Many?
![Page 122: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/122.jpg)
@MathletePearcewww.tapintoteenminds.com
5 reams= =
x
24.75 cm 273 cm
x ??
![Page 123: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/123.jpg)
@MathletePearcewww.tapintoteenminds.com
5 reams= =
x
24.75 cm 273 cm
x ??
![Page 124: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/124.jpg)
@MathletePearcewww.tapintoteenminds.com
5 reams= =
x24.75 cm
273 cm
x ??
![Page 125: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/125.jpg)
@MathletePearcewww.tapintoteenminds.com
5 reams= =
x24.75 cm
273 cm
x ??
11.03
![Page 126: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/126.jpg)
@MathletePearcewww.tapintoteenminds.com
24.75 cm
5 reams= =
273 cm
11.03x
x
![Page 127: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/127.jpg)
@MathletePearcewww.tapintoteenminds.com
24.75 cm
5 reams= =
273 cm
55.15 reams
11.03
x 11.03
x
![Page 128: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/128.jpg)
@MathletePearcewww.tapintoteenminds.com
VISIONVisual and Concrete
ContextualTASKS
![Page 129: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/129.jpg)
Visual and ConcreteContextualTASKS
INQUIRYConstruct Conceptual
UnderstandingVISION
@MathletePearcewww.tapintoteenminds.com
![Page 130: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/130.jpg)
Connect to Prior Knowledge
Visual and ConcreteContextualTASKS
CONNECTIONS
INQUIRYConstruct Conceptual
UnderstandingVISION
@MathletePearcewww.tapintoteenminds.com
![Page 131: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/131.jpg)
Visual and ConcreteContextualTASKS
CONSOLIDATE INQUIRYMove Towards
Procedural Fluency
Connect to Prior Knowledge
CONNECTIONS
Construct Conceptual Understanding
VISION
@MathletePearcewww.tapintoteenminds.com
![Page 132: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/132.jpg)
![Page 134: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/134.jpg)
kylep.ca/curiousmath1p
iTunes U
@MathletePearcewww.tapintoteenminds.com
![Page 135: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/135.jpg)
kylep.ca/curiousmath1p
iTunes U
@MathletePearcewww.tapintoteenminds.com
![Page 136: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/136.jpg)
kylep.ca/curiousmath1p
iTunes U
@MathletePearcewww.tapintoteenminds.com
TapFollow the Math
Twitter Blogosphere
![Page 137: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/137.jpg)
3 Act Math Taskstapintoteenminds.com/3act-math
@MathletePearcewww.tapintoteenminds.com
fishing4tech.com/mtbos.html
![Page 138: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/138.jpg)
@MathletePearcewww.tapintoteenminds.com
The CN Tower has a height of 553 m and your stack of 5 packages of paper have a height of approximately 0.25 m.
Approximately how many packages of paper would you need to stack up to the height of the CN Tower?
24.7
5 cm
wiz623
![Page 139: Pine Ridge Mathematics Association Social Night - Making Math Contextual, Visual and Concrete](https://reader035.fdocuments.net/reader035/viewer/2022081604/587d34cb1a28ab2a448b5bb7/html5/thumbnails/139.jpg)
Making Math Contextual, Visual, and Concrete
@MathletePearcewww.tapintoteenminds.com
tapintoteenminds.com/prma