Integrating iPad in Math Class - Peel District School Board
-
Upload
kyle-pearce -
Category
Education
-
view
212 -
download
0
Transcript of Integrating iPad in Math Class - Peel District School Board
Integrating iPadin Mathematics
@MathletePearce
www.tapintoteenminds.com
Kyle Pearcetapintoteenminds.com/peel
tapintoteenminds.com/peel
kylep.ca/peelpd
iTunes U Course
Web Resources:
ABOUT MEWindsor, ONMath Teacher / Math CoachApple Distinguished EducatorApple Authorized TrainerGoogle Certified Teacher
@MathletePearcewww.tapintoteenminds.com
WHERE
@MathletePearcewww.tapintoteenminds.com
Morning
Unboxing / Intro to iPadGo Digital With GoodNotes 4
4-Part Math LessonStacking Paper [3 Act Math Task]Deconstruction of Stacking Paper
@MathletePearcewww.tapintoteenminds.com
Afternoon
Desmos ActivityStacking Paper Sequel & Deconstruct
App SmashingThick Stacks & Deconstruction
Visible Thinking - Doceri/Explain Everything
@MathletePearcewww.tapintoteenminds.com
Unboxing?
@MathletePearcewww.tapintoteenminds.com
Theory of Action
Transformational Technology Use
Effective Teaching Practice
Increased Student [email protected]
@MathletePearcewww.tapintoteenminds.com
Students First, Not Stuff
“Putting technology first - simply adding a layer of expensive tools on top of traditional curriculum - does nothing to address the new needs of modern learners”
(Richardson, W (2013). Students First, Not Stuff. Educational Leadership, 10-14.)
@MathletePearcewww.tapintoteenminds.com
30 iPadsProjectorApple TV
Redefining Mathematics Education
@MathletePearcewww.tapintoteenminds.com
Project made possible by:
Source: cagelessthinking.com
4 -Part Math Lesson
@MathletePearcewww.tapintoteenminds.com
3
Inquiry
Consolidation
Inquiry 1.
@MathletePearcewww.tapintoteenminds.com
Minds On
Consolidation
-Part Math Lesson4
Minds On Inquiry1.
@MathletePearcewww.tapintoteenminds.com
2.
Consolidation
-Part Math Lesson4
Minds On
Consolidate
Inquiry1.
@MathletePearcewww.tapintoteenminds.com
2.
3. Connections
-Part Math Lesson4
Connections
Minds On
Consolidate
Inquiry1.
@MathletePearcewww.tapintoteenminds.com
2.
3. 4.
-Part Math Lesson4
Workflow
@MathletePearcewww.tapintoteenminds.com
Workflow
@MathletePearcewww.tapintoteenminds.com
Workflow
@MathletePearcewww.tapintoteenminds.com
Workflow
@MathletePearcewww.tapintoteenminds.com
Workflow
@MathletePearcewww.tapintoteenminds.com
GoodNotes 4
GoodNotes 4
@MathletePearcewww.tapintoteenminds.com
- Annotate PDFs
@MathletePearcewww.tapintoteenminds.com
- Annotate PDFsGoodNotes 4
Write With Ease
Zoom Tool
Zoom Box
@MathletePearcewww.tapintoteenminds.com
Saving Content
Cloud
iTunes
@MathletePearcewww.tapintoteenminds.com
One-Way Sync
Auto-Magically!
@MathletePearcewww.tapintoteenminds.com
Cloud Shared Folders
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Student Learning Need
@MathletePearcewww.tapintoteenminds.com
Inability to demonstrate understanding of algebra through multiple representations.
Theory of Action
Understanding of Algebraic Representations
Inquiry Question
@MathletePearcewww.tapintoteenminds.com
How will embedding real world problems and animations of algebraic concepts
impact student ability to show understanding in multiple ways?
Theory of Action
Understanding of Algebraic Representations
@MathletePearcewww.tapintoteenminds.com
Theory of Action
@MathletePearcewww.tapintoteenminds.com
Contextual Problems
Theory of Action
@MathletePearcewww.tapintoteenminds.com
Theory of Action
Contextual Problems
Promote Creation of Concrete Representations Through Discovery
@MathletePearcewww.tapintoteenminds.com
Contextual Problems
Theory of Action
Understanding of Algebraic Representations
Promote Creation of Concrete Representations Through Discovery
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
Stacking Paper - Act 1
@MathletePearcewww.tapintoteenminds.com
Stacking Paper - Act 2
@MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many packs of paper would it take to reach the ceiling?
4. Consolidate3. Connections
2. Inquiry
Stacking Paper
273
cm
4.95
cm
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper would it take to reach
the ceiling?4. Consolidate3. Connections
2. Inquiry
Stacking Paper
273
cm
4.95
cm
kylep.ca/stackingtemplate
@MathletePearcewww.tapintoteenminds.com
Stacking Paper - Act 3
@MathletePearcewww.tapintoteenminds.com
Stacking Paper - Act 3
ORIGINAL QUESTION
@MathletePearcewww.tapintoteenminds.com
ORIGINAL 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
ORIGINAL 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?
Answer Key: 55.15
ORIGINAL 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
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?
ACT 1:
@MathletePearcewww.tapintoteenminds.com
@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?
ACT 1:
ACT 2:
@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?
ACT 3:
@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
ACT 3:
@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?
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many packs of paper would it take to reach the ceiling?
3. Connections
Deconstructing the Task
4.95
cm
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many packs of paper would it take to reach the ceiling?
3. Connections
Deconstructing the Task
4.95
cm
273
cm
4.95
cm
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper would it
take to reach the ceiling?
4. Consolidate3. Connections
2. Inquiry
Previous Day
273 cm
4.95 cm
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper would it
take to reach the ceiling?
4. Consolidate3. Connections
2. Inquiry
Previous Day
273 cm
4.95 cm= 55.15
How many packs of paper will it take to reach
a height of 273 cm?
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
2. Inquirypacks of paper
height
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
2. Inquirypacks of paper
height
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
0 0
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
0 01 4.95
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
0 01 4.952 9.9
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
0 01 4.952 9.9… …
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquirypacks of paper height
Independent Dependent
0 01 4.952 9.9… …
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry
packs of paperheight :
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry
packs of paper
height
4.95
cm
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry
packs of paper
height4.95 cm
1 pack
273
cm
How many
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow many packs of paper will it take
to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson How many packs of paper will it take to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
x ?
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson How many packs of paper will it take to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
x 55.15
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson How many packs of paper will it take to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
x 55.15
x ?
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson How many packs of paper will it take to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?x
x 55.15
x 55.15
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson How many packs of paper will it take to reach a height of 273 cm?
4. Consolidate3. Connections
2. Inquiry4.95 cm
1 pack= 273 cm
How many?55.15
x 55.15
x 55.15packs
4 -Part Math Lesson
@MathletePearcewww.tapintoteenminds.com
3
2. Inquiry
4. Consolidation
@MathletePearcewww.tapintoteenminds.com
1. Minds On
-Part Math Lesson42. Inquiry
4. Consolidation
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson41. Minds On 2. Inquiry
4. Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson41. Minds On 2. Inquiry
3. Connections4. Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson41. Minds On 2. Inquiry
3. Connections 4. Consolidate
Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
1. Minds On
1. Minds On
Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many ‘thick’ packs of paper would it take to reach the ceiling?
1. Minds On
Consolidate
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many ‘thick’ packs of paper would it take to reach the ceiling?
1. Minds On6
cm
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How many ‘thick’ packs of paper would it take to reach
the ceiling?
1. Minds On6
cm
4. Consolidate3. Connections
2. Inquiry
4. Consolidate3. Connections
2. Inquiry1. Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson4
How many ‘thick’ packs of paper would it take to reach the ceiling?
2. Inquiry
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
4. Consolidate
2. Inquiry
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
How tall is the table?
4. Consolidate
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?
2. Inquiry
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?
2. Inquiry
kylep.ca/papersequel
Minds On
Inquiry2. -Part Math Lesson
4. Consolidate3. Connections
2. Inquiry1. Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson4
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson
3. Connections
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?
3. Connections13
0.7
5 cm
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
5packs13
0.7
55
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
5packs
5
130
.75
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
5packs
130.755
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
5packs
130.755 )x y(
Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math LessonHow tall is the table?13
0.7
5 cm
packs of paper heightIndependent Dependent
5packs
130.755( )x ySlope
3. Connections
@MathletePearcewww.tapintoteenminds.com
4. Consolidate3. Connections
2. Inquiry1. Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson4
4. Consolidate
@MathletePearcewww.tapintoteenminds.com
2. Inquiry
4. Consolidate
@MathletePearcewww.tapintoteenminds.com
2. Inquiry
4. Consolidate3. Connections
2. Inquiry1. Minds On
@MathletePearcewww.tapintoteenminds.com
-Part Math Lesson4
GoodNotes 4
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
How tall is this table?
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
How tall is this table?
142
.75
cm
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
How tall is this table?
142
.75
cm
100
.75
cm
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
How tall is this table?
142
.75
cm
100
.75
cmkylep.ca/thickstackpeel
@MathletePearcewww.tapintoteenminds.com
The Next Day…
GoodNotes 4
How tall is this table?
142
.75
cm
100
.75
cm
6 c
m
142
.75
cm
100
.75
cm
Equations Given 2 Points
142
.75
cm
100
.75
cm
Equations Given 2 Points
142
.75
cm
100
.75
cm
Equations Given 2 Points
142
.75
cm
100
.75
cm
Equations Given 2 Points
142
.75
cm
100
.75
cm
Equations Given 2 Points
App Smashing
@MathletePearcewww.tapintoteenminds.com
App Smashing
@MathletePearcewww.tapintoteenminds.com
App Smashing
@MathletePearcewww.tapintoteenminds.com
App Smashing
@MathletePearcewww.tapintoteenminds.com
App Smashing
@MathletePearcewww.tapintoteenminds.com
Workflow
@MathletePearcewww.tapintoteenminds.com
GoodNotes 4
Workflow
@MathletePearcewww.tapintoteenminds.com
Doceri
Doceri
@MathletePearcewww.tapintoteenminds.com
Doceri
@MathletePearcewww.tapintoteenminds.com
Desmos
@MathletePearcewww.tapintoteenminds.com
Bad Example? Maybe
@MathletePearcewww.tapintoteenminds.com
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
To ensure that assessment, evaluation, and reporting are valid and reliable, and that they lead to the improvement of learning for all students, teachers use practices and procedures that:
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
“are carefully planned to relate to the curriculum expectations and learning goals…”
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
“are communicated clearly to students and parents at the beginning of the school year or course and at other appropriate points throughout the school year or course;”
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
“are ongoing, varied in nature, and administered over a period of time to provide multiple opportunities for students to demonstrate the full range of their learning;”
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
“provide ongoing descriptive feedback that is clear, specific, meaningful, and timely to support improved learning and achievement;”
7 Fundamental Principles
@MathletePearcewww.tapintoteenminds.com
“develop students’ self-assessment skills to enable them to assess their own learning, set specific goals, and plan next steps for their learning.”
@MathletePearce kylep.ca/1kK7tKN
Google Sheets
@MathletePearcewww.tapintoteenminds.com
Standard Based Grading
@MathletePearcewww.tapintoteenminds.com
Create Your Own!
@MathletePearcewww.tapintoteenminds.com
Create Your Own!
@MathletePearcewww.tapintoteenminds.com
Go to Google Drive
@MathletePearcewww.tapintoteenminds.com
Google Sheets
@MathletePearcewww.tapintoteenminds.com
Google Sheets
@MathletePearcewww.tapintoteenminds.com
Google Sheets
@MathletePearcewww.tapintoteenminds.com
Name File Add Headers
Add Sheet Rename Sheet
Cookie Cutter
@MathletePearce www.tapintoteenminds.com @JustinLevack
Cookie Cutter
@MathletePearce www.tapintoteenminds.com @JustinLevack
Cookie Cutter
@MathletePearce www.tapintoteenminds.com @JustinLevack
Cookie Cutter
@MathletePearce www.tapintoteenminds.com @JustinLevack
Cookie Cutter
@MathletePearce www.tapintoteenminds.com @JustinLevack
@MathletePearce www.tapintoteenminds.com @JustinLevack
A = πr2
Why do we need π?
Discuss & Explore With A Partner
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
8.5 cm
A = πr2r2
4.25 cm
4.25
cm
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
What percentage of the square is green?
What percentage is purple?
8.5
cm
Wonderings:
8.5 cm
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
8.5
cm
DOES A RELATIONSHIP
EXIST?
8.5 cm
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
78.5%21.5%
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
8.5 cm4.25 cm
4.25
cmWhat percentage of
the square is green?
What percentage is purple?
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
How Does This Proportion Relate to π?
78.5%21.5%
4.25 cm4.
25 c
m
4A = (4.25)2 (0.785)A = (4.25)2(3.14)A = π(4.25)2
@MathletePearce www.tapintoteenminds.com @JustinLevack
Why do we need π?A = πr2
How Does This Proportion Relate to π?
78.5%
4.25 cm4.
25 c
m
(1)A = (4.25)2 (0.785)A = 14.17 cm214.17 cm
2 14.17 cm 2
4.25 cm
(1)A = cm214.17
(2)(2)
28.3614.17 cm 2
4.25
cm
(3)(3)
42.5414.17 cm
2
(4)(4)
56.72
Resources & FeedbackPlease complete the survey
to help me improve
Your feedback is appreciated!
tapintoteenminds.com/peel
@MathletePearcewww.tapintoteenminds.com
Reach Out!
www.tapintoteenminds.com
Kyle Pearce
@MathletePearce
tapintoteenminds.com/peel