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

Exploring Measurement and the

4-Part Math Lesson

@MathletePearce

tapintoteenminds.com

http://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



Good atMath

NotGood at

Math



Good atMath

NotGood at

Math

Know:terminology

procedures

Know:terminology

procedures



Good at Memorization

Not Good at Memorization













Struggle withunfamiliarproblems

TEST QUESTION



TEST QUESTION


=EXAMPLEHOMEWORK

TEST QUESTION


=EXAMPLEHOMEWORKTEXTBOOK

TEST QUESTION


=EXAMPLETEXTBOOK


EXAMPLEUNFAIR



Good atMath

NotGood at

Math










UNFAIR


Good atMath

Kyle Pearce


Good atMath Kyle Pearce


Good atMath

NotGood at

Math

Kyle Pearce


Good atMath

NotGood at

Math

Kyle Pearce


New Knowledge


New Knowledge

Prior Knowledge



MATH

SILO1

SILO2

SILO3

SILO4


MATHSILO

1SILO

2SILO

3SILO

4


MATHSILO

1SILO

2SILO

3SILO

4


A VISION FOR MATHEMATICS

EDUCATION

VISION


Contextual

VISION


Visual and ConcreteContextual

VISION


Interconnected


VISION


Interconnected


CONFIDENCE


Interconnected


PERCEPTION


Interconnected


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


VISION

MINDS ON -Part Math Lesson4

Consolidate

Inquiry


2.

4.

Connect to New Learning Goal


VISION

MINDS ON

CONNECTIONS

-Part Math Lesson4



VISION

MINDS ON

INQUIRY

CONNECTIONS

-Part Math Lesson

Consolidate4.4

Prior Knowledge & Intuition




VISION

MINDS ON

CONNECTIONS

INQUIRYCONSOLIDATEPrior Knowledge

& Intuition


Apply New Skill Through Practice



MINDS ON

CONNECTIONS


& Intuition


4-PartLesson




MINDS ON

CONNECTIONS


& Intuition


4-PartLesson:Apply New Skill

Through Practice MEASUREMENT



MINDS ON

CONNECTIONS


& Intuition


Area, Perimeter, & Volume










MINDS ON

CONNECTIONS


& Intuition







How many will fit?


How many will fit?


How many will fit?


How many will fit?

6The base of this

container has an AREA of 6 mushrooms.


How many mushrooms will it take to get around

the container?



the container?



the container?



the container?

10



MINDS ON

CONNECTIONS


& Intuition







What is the area of the egg carton?



Area = 12 eggs



Area = 12 eggs-squared





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


What is the perimeter of the egg carton?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



MINDS ON

CONNECTIONS


& Intuition





How many will fit?


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 = 6The base of this

container has an AREA of 6 mushrooms.



the container?

2+3+2+3



the container?

2+3+2+3=10



the container?

l+3+ l+3=10



the container?

l+w+ l+w=10



the container?

l+w+ l+w=10



the container?

l +w+l +w=10



the container?

l + w2l 2w=10



the container?

l + w2l 2w=10



the container?

l + w2l 2w=10



the container?

l + w2 l2 w=10( )



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 =


What is the area of the egg carton?Area = 12 eggs-squared2w =


What is the area of the egg carton?Area = 12 eggs-squared2 6 =( )


What is the area of the egg carton?Area = 12 eggs-squared2 6 =( )


What is the perimeter of the egg carton?P = 6


What is the perimeter of the egg carton?P = 6 + 6


What is the perimeter of the egg carton?P = 6 + 6 + 2


What is the perimeter of the egg carton?P = 6 + 6 + 2 + 2


What is the perimeter of the egg carton?P = 6 + 6 + 2 + 2 = 16


What is the perimeter of the egg carton?P = 62 6 + 2 + 2 = 16( )


What is the perimeter of the egg carton?P = 62 6 + 22 2 = 16( ) ( )


What is the perimeter of the egg carton?P = 62 6 + 22 2 = 16( ) ( )


What is the perimeter of the egg carton?P = 62 6 + 22 2 = 16( )( )






What is the perimeter of the egg carton?P = 62 6 + 22 2 = 16( )( )l+2 w)( =


What is the perimeter of the egg carton?P = eggs62 6 + 22 2 = 16( )( )l+2 w)( = 82 ( )=




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






Volume = lwh


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



MINDS ON

CONNECTIONS


& Intuition





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+2( )= 3 42 )

(7= 342 )

( +



P = l w

jars

+2( )= 3 42 )

(7= 342 )=14

@MathletePearce tapintoteenminds.com

Area of a Recantagle


A = lw

length


A = lwlength

width


A = lw2


A = lw22

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


24 units2

A = lw


24 units2

A = lw

Volume of a Rectangular Prism


24 units2

A = lw

Volume of a Rectangular PrismWith a Height of:


24 units2

A = lw

With a Height of:

0Volume:

lw 0x 0



24 units2

A = lw

With a Height of:

1Volume:

lw 1x 1



24 units2

A = lw

With a Height of:

2Volume:

lw2

x 2



24 units2

A = lw

With a Height of:

hVolume:

lwh

x h



24 units2

A = lw

lw hx h



24 units2

A = lw

lw hh


V =



MINDS ON

CONNECTIONS


& Intuition




Task


Mowing The Lawn


kylep.ca/lawn-task


kylep.ca/lawn-task

8 ft

65.6

ft

15 f

t

16 ft

15 ft

39 f

t

34 ft

1.5 ft

Mowing The Lawn19 seconds

Your Turn…


Your Turn…


Think of an example involving measurement that you could introduce

using context and visuals.

Your Turn…



using context and visuals.

perimeter areaoptimization surface area

volume


4. Consolidate3. Connections

2. Inquiry1. Minds On -Part Math Lesson4


using context and visuals.perimeter area

optimization surface areavolume

Share…


Questions?


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