OTF Connect Webinar - Exploring Measurement and the 4-Part Math Lesson

Exploring Measurement
and the
4-Part Math Lesson
@MathletePearce
tapintoteenminds.com

@MathletePearcewww.tapintoteenminds.com
4. Homework
3. Examples
2. Deﬁnitions, Formulae, Procedures/Algorithms
1. Take Up Homework
Math Class

Two Groups of
Students
Result

Two Groups of Students
Good at
Math
Not
Good at
Math

Good at
Math
Not
Good at
Math
Know:
terminology
procedures
Know:
terminology
procedures

Good at
Memorization
Not Good at
Memorization

Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems

TEST QUESTION

TEST QUESTION
=
EXAMPLE

TEST QUESTION
=
HOMEWORK

TEST QUESTION
=
TEXTBOOK

UNFAIR

Good at
Memorization
Not Good at
Memorization
Struggle with
unfamiliar
problems
UNFAIR

Kyle Pearce

Good at
Math
Not
Good at
Math
Kyle Pearce

New Knowledge

New Knowledge
Prior Knowledge

MATH
SILO
1
SILO
2
SILO
3
SILO
4

A VISION FOR
MATHEMATICS
EDUCATION
VISION

Contextual
VISION

Visual and Concrete
Contextual
VISION

Interconnected
Visual and Concrete
Contextual
VISION

Interconnected
Visual and Concrete
Contextual
CONFIDENCE

Interconnected
Visual and Concrete
Contextual
PERCEPTION

Interconnected
Visual and Concrete
Contextual
STUDENT
SUCCESS

Connections
Minds On
Consolidate
Inquiry1.
2.
3. 4.
-Part Math Lesson4

Connections
Minds On
Consolidate
Inquiry
1.
2.
3.
4.
-Part Math Lesson4
Interconnected
Visual and Concrete
Contextual
VISION

Connections
Consolidate
Inquiry
2.
3.
4.
Interconnected
Visual and Concrete
Contextual
VISION
MINDS ON
-Part Math Lesson4

Consolidate
Inquiry
2.
4.
Connect to New
Learning Goal
Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
-Part Math Lesson4

Visual and Concrete
Contextual
VISION
MINDS ON
INQUIRY
CONNECTIONS
-Part Math Lesson
Consolidate4.
4
Prior Knowledge
& Intuition
Connect to New
Learning Goal

Visual and Concrete
Contextual
VISION
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice

Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
4-Part
Lesson
Apply New Skill
Through Practice

Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
4-Part
Lesson:Apply New Skill
Through Practice
MEASUREMENT

Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Area,
Perimeter,
& Volume
Apply New Skill
Through Practice

Area, Perimeter, & Volume

Visual and Concrete
Contextual
MINDS ON
CONNECTIONS
INQUIRYCONSOLIDATE
Prior Knowledge
& Intuition
Connect to New
Learning Goal
Apply New Skill
Through Practice
Area,
Perimeter,
& Volume

How many will ﬁt?

How many will ﬁt?
6
The base of this
container has an AREA
of 6 mushrooms.

How many
mushrooms will it
take to get around
the container?

How many
mushrooms will it
take to get around
the container?
10

What is the area of the egg carton?

Area = 12 eggs

Area = 12 eggs-squared

What is the perimeter of the egg carton?
P = ?

P = 16 eggs

What is the volume of the egg carton?

What is the volume of the egg carton?
Area = 12 eggs-cubed

What is the total volume?

What is the total volume?
V = 24 eggs-cubed

How many will ﬁt?
2

How many will ﬁt?
2 x 3

How many will ﬁt?
2 x 3 = 6

How many will ﬁt?
2 x 3 = 6
The base of this
container has an AREA
of 6 mushrooms.

How many
mushrooms will it
take to get around
the container?
2+3+2+3

How many
mushrooms will it
take to get around
the container?
2+3+2+3
=10

How many
mushrooms will it
take to get around
the container?
l+3+ l+3
=10

How many
mushrooms will it
take to get around
the container?
l+w+ l+w
=10

How many
mushrooms will it
take to get around
the container?
l +w+l +w
=10

How many
mushrooms will it
take to get around
the container?
l + w2l 2w
=10

How many
mushrooms will it
take to get around
the container?
l + w2 l2 w
=10
( )

(
The perimeter of
the container is
10 mushrooms.
2+322
=10
)

(
The perimeter of
the container is
10 mushrooms.
2+322
=10
)
(52 )=

Area = 12 eggs-squaredl x w =

Area = 12 eggs-squaredlw =

Area = 12 eggs-squared2w =

Area = 12 eggs-squared2 6 =( )

P = 6

P = 6 + 6

P = 6 + 6 + 2

P = 6 + 6 + 2 + 2

P = 6 + 6 + 2 + 2 = 16

P = 62 6 + 2 + 2 = 16( )

P = 62 6 + 22 2 = 16( ) ( )

P = 62 6 + 22 2 = 16( )( )

P = 62 6 + 22 2 = 16( )( )l+2 w)( =

P = eggs62 6 + 22 2 = 16( )( )l+2 w)( = 82 ( )=

Volume = lwh

V = lwh
= (6)(2)(2)
= 24 eggs3

What is the area of the base of the box?

A = lw

A = lw
= (3)(4)

A = lw
= (3)(4)
= 12 jars

A = lw
= (3)(4)
= 12 jars2
The area of the base
of the box is
12 jars-squared.

What is the perimeter of the box?
P = l w+2( )

( +
P = l w+2( )
= 3 w2 )

( +
P = l w+2( )
= 3 42 )

( +
P = l w+2( )
= 3 42 )
(7= 342 )

( +
P = l w
jars
+2( )
= 3 42 )
(7= 342 )
= 14

@MathletePearce tapintoteenminds.com
Area of a Recantagle

A = l
length

A = lw
length
width

A = lw
2

A = lw
22

A = w2
2

A =
2
3
w2

A =
2
3
w2
3

3
A =
2
3
2( )

A =
2
3
6 units2

A =
4
w4

4
6
A = (6)4

A =
4
6
24 units2

A = lw

A = lw
Volume of a Rectangular Prism

A = lw
With a Height of:
0
Volume:
lw 0x 0

A = lw
With a Height of:
1
Volume:
lw 1x 1

A = lw
With a Height of:
2
Volume:
lw
2
x 2

A = lw
With a Height of:
h
Volume:
lw
h
x h

A = lw
lw hx h

A = lw
lw hh
V =

Task

Mowing The Lawn
kylep.ca/lawn-task

kylep.ca/lawn-task
8 ft
65.6ft
15ft
16
ft
15 ft
39ft
34 ft
1.5 ft
Mowing The Lawn
19 seconds

Your Turn…

Your Turn…
Think of an example involving
measurement that you could introduce
using context and visuals.

Your Turn…
perimeter area
optimization surface area
volume

4. Consolidate3. Connections
2. Inquiry1. Minds On
-Part Math Lesson4
perimeter area
optimization surface area
volume

Share…

Questions?

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OTF Connect Webinar - Exploring Measurement and the 4-Part Math Lesson