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SESSION#4
@MathletePearce www.tapintoteenminds.com @JustinLevack
2014-15
Session Resources
tapintoteenminds.com/myci/session4
@MathletePearce www.tapintoteenminds.com @JustinLevack
OPTIONAL MYCI Sessions
@MathletePearce www.tapintoteenminds.com @JustinLevack
20
MAY
Creating Animations With Keynote
25
MAY
Creating Animations With Keynote
Action Items & Timelines
Elementary & Non-Semestered Secondary
June 16th, 2015
Final check-in due
Team MYCI Report
Check-In Data Pre/Post-MYCI Survey
June 16th, 2015
Post-MYCI Student Survey
due
@MathletePearce www.tapintoteenminds.com @JustinLevack
Check-In Data Pre/Post-MYCI Survey
March 2nd, 2015
Diagnostic check-in due
May 4th, 2015
Mid-way check-in due
June 16th, 2015
Final check-in due
Team MYCI Report
March 2nd, 2015
PRE-MYCI Survey Due
June 16th, 2015
POST-MYCI Survey Due
@MathletePearce www.tapintoteenminds.com @JustinLevack
Semestered Secondary
Morning
Welcome & Session #3 Recap
Counting Candy [3 Act Math Task]
iTunes U Course of Tasks
Big Idea Team Task
Desmos Math Journey
@MathletePearce www.tapintoteenminds.com @JustinLevack
Afternoon
Big Cheques [3 Act Math Task]
Collaborative Inquiry Check-In Time
Solving Equations Visually
Desmos - Central Park Activity
Ticket Out The Door
@MathletePearce www.tapintoteenminds.com @JustinLevack
SAMR Model
Progression
Effective
Instructional Practice
Embedding
Technology
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
STUDENT
LEARNING
NEEDS
@MathletePearcewww.tapintoteenminds.com
Math Class
@MathletePearcewww.tapintoteenminds.com
4. Homework
3. Examples
2. Definitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class
@MathletePearcewww.tapintoteenminds.com
Two Groups of
Students
Result
@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
@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
=
TEST QUESTION
@MathletePearcewww.tapintoteenminds.com
=
EXAMPLE
TEST QUESTION
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=
HOMEWORK
TEST QUESTION
@MathletePearcewww.tapintoteenminds.com
=
TEXTBOOK
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UNFAIR
@MathletePearcewww.tapintoteenminds.com
Two Groups of Students
Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
@MathletePearcewww.tapintoteenminds.com
New Knowledge
@MathletePearcewww.tapintoteenminds.com
New Knowledge
Prior Knowledge
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
MATH
@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
Interconnected
Visual and Concrete
Contextual
VISION
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
MATH
LEARNING
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
CONNECTIONS
MATH
LEARNING
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
INQUIRY
CONNECTIONS
MATH
LEARNING
@MathletePearcewww.tapintoteenminds.com
Interconnected
Visual and Concrete
Contextual
TASKS
CONNECTIONS
INQUIRYCONSOLIDATE
MATH
LEARNING
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearcewww.tapintoteenminds.com
WHAT’S THE QUESTION?
@MathletePearcewww.tapintoteenminds.com
IF SHARING AMONGST 4 PEOPLE EVENLY,
HOW MANY CHOCOLATES SHOULD EACH GET?
@MathletePearcewww.tapintoteenminds.com
MAKE A PREDICTION!
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@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Divided
Evenly
@MathletePearcewww.tapintoteenminds.com
57 Chocolates
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
SEQUEL
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HOW MANY OF EACH
COLOUR ARE THERE?
@MathletePearcewww.tapintoteenminds.com
57 Chocolates
Total
@MathletePearcewww.tapintoteenminds.com
44
Blue and Pink
@MathletePearcewww.tapintoteenminds.com
35
Blue and Purple
@MathletePearcewww.tapintoteenminds.com
35 Blue and Purple
44 Blue and Pink
57 Total
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
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EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
EXEMPLARS
@MathletePearcewww.tapintoteenminds.com
13
Purple
57 Chocolates Total
22
Pink
22
Blue
WANT MORE…
@MathletePearce www.tapintoteenminds.com @JustinLevack
3 ACT TASKS?
3 ACT TASKS
www.tapintoteenminds.com
@MathletePearce www.tapintoteenminds.com @JustinLevack
/3act-math
3 ACT TASKS
/3act-math@MathletePearce www.tapintoteenminds.com @JustinLevack
iTunes U
3 ACT TASKS
/3act-math@MathletePearce www.tapintoteenminds.com @JustinLevack
iTunes U
kylep.ca/curiousmath1p
Last Session…
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
Learning Goal #1
@MathletePearce www.tapintoteenminds.com @JustinLevack
Learning Goal #1
Learning Goal #2
@MathletePearce www.tapintoteenminds.com @JustinLevack
BIG IDEA
@MathletePearce www.tapintoteenminds.com @JustinLevack
Overall Expectation
Grade 7 Strand - Patterning & Algebra
Overall: PA1 - Patterns and Relationships
LG1
LG2 LG3
LG4
@MathletePearce www.tapintoteenminds.com @JustinLevack
BIG IDEA
LG1
LG2 LG3
LG4
@MathletePearce www.tapintoteenminds.com @JustinLevack
GRADE 7 GRADE 8
GRADE 9
APPLIED
BIG IDEA
Create Learning Goals Using Friendly Language
Get Feedback & Modify
Plan Your BIG IDEA Task
@MathletePearce www.tapintoteenminds.com @JustinLevack
BIG IDEA
Share With Your Table Group
Summarize Your Task: Google Drive
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
Create a folder
for your task
summary/
resources
@MathletePearce www.tapintoteenminds.com @JustinLevack
BIG IDEA
Share With Your Table Group
Summarize Your Task Google Drive
BREAK
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearcewww.tapintoteenminds.com
DESMOS
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Join me on a…
LEARNING JOURNEY
@MathletePearcewww.tapintoteenminds.com
Go to…
kylep.ca/desmos-journey
kylep.ca/desmos-journey
kylep.ca/desmos-journey
kylep.ca/desmos-journey
Click on the
“Allow” button.
kylep.ca/desmos-journey
Begin the
journey!
@MathletePearcewww.tapintoteenminds.com
Interested in other…
activities?
@MathletePearcewww.tapintoteenminds.com
Interested in other…
activities?
Jon Orr Michael Fenton
Down the Desmos
Rabbit Hole
Match My Graph
kylep.ca/desmos-rabbithole kylep.ca/desmos-matchmygraph
@MathletePearcewww.tapintoteenminds.com
More from…
@MathletePearcewww.tapintoteenminds.com
Go to…
teacher.desmos.com
@MathletePearcewww.tapintoteenminds.com
teacher.desmos.com
@MathletePearcewww.tapintoteenminds.com
teacher.desmos.com
LUNCH
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
s
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL
PRACTICE
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
HDTVs are on sale for 25% off. What
is the discount on a television that
usually costs $885?
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
If you purchase a CD for $18.99,
how much tax would you pay?
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
Shuva purchased a new MP3 player
on sale. It was $219.50 originally,
but she paid $142.68, not including
tax. What iwas the percent discount
on the MP3 player?
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
David was shopping for a new pair of
shoes. He found a pair that was
$89.99 on sale for $22.50 off. What
was the percent discount on the
shoes?
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
Cayla wanted to return a defective
calculator, but her dog Buster had
chewed up the receipt. She could still
see that the 13% tax came to $2.25.
Wahat was the cost of Cayla’s calculator?
@MathletePearcewww.tapintoteenminds.com
PURPOSEFUL PRACTICE
Himay was very happy because his
new cell phone was on sale for 40%
off and was only $65.00. What was
the original price of Himay’s phone?
@MathletePearcewww.tapintoteenminds.com
Team Collaborative
Inquiry Check-In
Your Inquiry
@MathletePearcewww.tapintoteenminds.com
Student Learning Need
Inquiry Question
Theory of Action
@MathletePearcewww.tapintoteenminds.com
Looking back over the year, what changes
might you make to your inquiry questions to
help further target the student learning need
identified?
Checking In
@MathletePearcewww.tapintoteenminds.com
Up to this point in your MYCI project what new
strategies have you tried as a result of your
inquiry?
Checking In
@MathletePearcewww.tapintoteenminds.com
Up to this point in your MYCI project what new
strategies have you tried as a result of your
inquiry?
Checking In
What evidence do you have that these changes
have had an effect on your students’ learning
need?
@MathletePearcewww.tapintoteenminds.com
What worked well and/or not as well as
expected?
Checking In
@MathletePearcewww.tapintoteenminds.com
What worked well and/or not as well as
expected?
Checking In
What professional learning has helped the
most? What more needs to be learned?
@MathletePearcewww.tapintoteenminds.com
FIND THESE QUESTIONS
IN GOOGLE DRIVE
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x = the length of a rake
x
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x = the length of a rake
x
x x
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5
x x 4
4.5
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5 x
x 4
4.54.5
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5 x
x 4
4.54.5
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5x x
4
4.54.54.5
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5x x
4
4.54.54.5
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5x x 44.54.5 4.5184.5x x4.5 18
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
Area of a Garden
x x 4
4.5x x 44.54.5 4.5184.5x x4.5 18
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
@MathletePearcewww.tapintoteenminds.com
x x 4
4.5x x 44.54.5 4.518
A 4.5x x4.5 18= + +
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.63
@MathletePearcewww.tapintoteenminds.com
x x 4
4.5x x 44.54.5 4.518
A 4.5x x4.5 18= + +
A rectangular garden has a length of 2x + 4
and a width of 4.5 measured in feet. What is
the value of x if the area is equal to 63 ft2.
63
63
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63 =
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =
63
=
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63 =
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4 =63 4.5x x 44.5 18=
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 9=
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 9 1818=
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 91818- =
4.5xx 44.5 18463 91818-45
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 91818-45 =
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 91818-45 4.5xx 44.5 18463 91818-45 =
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4184 =18
1818 =
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4.5xx 44.5 184 =63 91818-45 4.5xx 44.5 18463 91818-45 =
x9
x9
45
45
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
4184 =18 1818
=
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
184 =1818 = -18
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
184 =1818
-18
=
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
184 =1818 -18= + 0
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
184 =1818 -18=
-18
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
184 =1818 -18=-18+ 0
x9x94545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
4545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x9
4545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x9
x
x
4545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x x
x9= x9
4545
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x x
x9
=
9
x945
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x x
x x
x x
x x
x x
x x
45 x9
=
99
x945
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18=
x x
x x
x x
x x
x x
5 5
5 5
5 5
5 5
2.5 2.5
x5
45 =95
x9
9
x945
@MathletePearcewww.tapintoteenminds.com
4.5x x 44.5 18
A 4.5x x4.5 18= + +63
4 =63
18= -18
x x
x x
x x
x x
x x
5 5
5 5
5 5
5 5
2.5 2.5
x9
x5
99x1=5
45 =
4s
18
@MathletePearcewww.tapintoteenminds.com
4.5x x4.5 18=63
= x9
x1=5
45
=
1818
+ +
++
= x945 1818 ++ -18-
45 x9
9 9
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x + 10 = 90
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x + 10 = 90
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x +10 = 80 10+
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x +10 = 80 10+
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x = 80
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
= 80x x x x
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
=x x x x 20 20 20 20
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
=x
x
x
x
20
20
20
20=
=
=
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x + 73 = 17 + 12x
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x + 73 = 17 + 12x
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x +73 = 17 +8x 4x+
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
4x +56 = 17 +8x 4x++17
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
+56 = 17 +8x+17
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
56 = 8x
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
28 = 4x+ 28 4x+
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
14 = 2x+14 2x+14 +14 2x 2x+++
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
= x +7+7+ 7 + 7+ 7 + 7+ 7 + 7 x + x +x + x + x + x + x
@MathletePearcewww.tapintoteenminds.com
What’s the Magic Number?
= x7
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2014-15 GECDSB MYCI Session #4 Learning Fair Slide Deck