2015-16 middle years collaborative inquiry (myci) project session #3

2015-16 MYCI Session #3Lauren Segedin SHSM
Support Initiative
Angela Ciarlariello-Bondy Re-engagement &
@MathletePearce www.tapintoteenminds.com @JustinLevack
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@MathletePearcewww.tapintoteenminds.com
Purpose
Promoting cross-panel collaboration Reduce gaps in student achievement Building capacity in collaborative inquiry skills Increase connections among middle years educators
… an iterative process in which teachers collaborate to develop reasonable inquiry
questions by implementing research-based strategies and reflecting on how they impact
relevant student learning needs in the classroom.Relevant Reflective
Collaborative Adaptive
Iterative Reasoned
“There is no prescribed protocol, nor is there a single path.”
Capacity Building Series, Collaborative Inquiry
Which One Doesn’t Belong?
INQUIRY QUESTION
What is the impact of introducing topics with 3 act math tasks with an
inquiry approach on student confidence, understanding and
ability to solve problems in mathematics?
THEORY OF ACTION
If I allow students to discover new learning through contextual tasks, then students will gain a deeper
understanding of the learning goal.
THEORY OF ACTION
If I allow students to discover new learning through contextual tasks, then
students will gain a deeper understanding of the learning goal.
If I wait to introduce algorithms and procedures until students have solved a problem through inquiry, then student confidence and procedural fluency will
increase.
students will gain a deeper understanding of the learning goal.
If I wait to introduce algorithms and procedures until students have solved a problem through inquiry, then student confidence and procedural fluency will
increase.
If curriculum is organized using a spiralled approach, then student understanding and ability to solve
problems will increase.
What is the most urgent student learning
Is it related to content? Learning skill? Both?
What is the most urgent student learning
Clearly specifies the focus of your inquiry
Uses neutral, exploratory language
What will you do and what are the expected outcomes?
return in the stock market and the classroom
LEARNING
Maximize Reward, Minimize Risk
3. Formula
3. Formula
2. Understanding
3. Formula
Ability to formulate, represent & solve mathematical problems using an effective strategy
STRATEGIC COMPETENCE
PROCEDURAL FLUENCY
ADAPTIVE REASONING Capacity for logical thought, reflection,
explanation, and justification
CONCEPTUAL UNDERSTANDING
COMPETENCE
Learning journey begins at the origin (0, 0)
COMPETENCE
Learning journey begins at the origin
(0, 0)
begins at the origin (0, 0)
Competence
COMPETENCE
Competence Consciousness
Competence
COMPETENCE
COMPETENCE
Unconsciously Incompetent
COMPETENCE
The Four Stages of Mastery
COMPETENCE
COMPETENCE
Student Might Be Thinking:
COMPETENCE
COMPETENCE
15 16 17 18 19 20 21 Answer & Justification:
“I counted each candy and there are 21 total.”
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
Count how many candies there are.
1 2 3 4 5 6 7
8 9 10 11 12 13 14
COMPETENCE
COMPETENCE
“I know I’m supposed to multiply, but I’m not sure how.”
COMPETENCE
1 2 3 4 5 6 7
8 9 10 11 12 13 14
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
1 2 3 4 5 6 7
8 9 10 11 12 13 14
COMPETENCE
COMPETENCE
“I see 7 groups of 3 candies.”
“I added 3 candies, 7 times. There are 21 total candies.”
3 6 9 12 15 18 21
COMPETENCE
7 14 21
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
COMPETENCE
7 14 21
Answer & Justification:
“There are 21 candies because 7 times 3 is 21.
The Four Stages of Mastery
COMPETENCE
7
3
Fairly share a minimum of one cube of each colour with as many friends as possible.
16 red and 12 green
1 Friend
8 red and 6 green
8 red and 6 green
Two Friends
Friends
4 red and 3 green
4 red and 3 green
4 red and 3 green
4 red and 3 green
Four Friends
YOUR TURN!
YOUR TURN!
Sample Extension Questions
If there are 25 red and 30 blue candies, how many of each colour could you fairly
share to as many friends as possible?
YOUR TURN! If there are 36 green and 18 blue candies, what is
the ratio of green to blue candies in lowest terms?
Kyle's Candy
Kyle is preparing candy bags for the upcoming MYCI Participants. James from Kingsville Public
requests that for every 7 candies his team receives, 3 are blue and 4 are red.
If the Kingsville candy bag has a total of 140 candies, how many of each colour are there?
YOUR TURN!
YOUR TURN! Paul's Quilt EQAO Winter Assessment Grade 9 Applied 2005-2006, Question 2b [Adapted]
Paul’s grandmother asks him to cut red and white pieces. Every 5 pieces in the quilt consist of 2 red pieces and 3 white pieces.
If the quilt has a total of 60 pieces, how many pieces are there of each colour? Show your work.
Paul’s grandmother is sewing a quilt for him. A quilt consists of pieces of fabric of different shapes sewn together.
YOUR TURN! Paul's Quilt EQAO Winter Assessment Grade 9 Applied 2005-2006, Question 2b [Adapted]
Paul’s grandmother asks him to cut red and white pieces. Every 5 pieces in the quilt consist of 2 red pieces and 3 white pieces.
If the quilt has a total of 60 pieces, how many pieces are there of each colour? Show your work.
Paul’s grandmother is sewing a quilt for him. A quilt consists of pieces of fabric of different shapes sewn together.
YOUR TURN! Paul's Quilt
YOUR TURN! 0
are 0 white.”
pieces”
Change r
are 0 white.”
pieces”
2
QUESTION Make the smallest difference by filling in the boxes
below using the whole numbers 1 through 9, no more than one time each.
- Shared by openmiddle.com
WHAT IF…
WHAT IF…
x 3 = ?
WHAT IF…
x 3 = ?1 2
x 3 = ?1 2
LOOK
THERE ARE
= 2
= 2
Two thirds can be split up into two groups of one third
groups
= 3 2
= 1 21
= 1 21
Three quarters can be divided into one and a half groups of two quarters.
4 5
3 5÷
= 4 3
4 3=
= 1 31
= 1 31
Four fifths can be divided into one and a third groups of three fifths.
4=
4=
4=
4=
4=
4=
4= = 3 42
4= = 3 42
Three and two-thirds can be divided by one and one-third into two and three-quarter groups.

2015-16 middle years collaborative inquiry (myci) project session #3

Education