40
The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency Fraction Bars - 1 Whole

Fraction Bars - 1 Whole

  • Upload
    others

  • View
    4

  • Download
    0

Embed Size (px)

Citation preview

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fra

ctio

n B

ars

- 1

Wh

ole

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

21Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

31Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

41Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

51Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

61Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

71Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

81Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

91Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

101Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

111Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

121Fr

ac

tion

Ba

rs -

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Talk

an

d S

ha

re C

ard

s

2 b

row

nie

s sh

are

d e

qu

ally

w

ith 4

frie

nd

s

4 c

an

dyb

ars

sh

are

d e

qu

ally

w

ith 6

frie

nd

s

5 b

ars

sh

are

d

eq

ua

lly w

ith 8

fr

ien

ds

2 c

ake

s sh

are

d

eq

ua

lly w

ith 7

fr

ien

ds

2 st

icks

of

taff

y sh

are

d e

qu

ally

w

ith 6

frie

nd

s

3 sa

nd

wic

he

s sh

are

d e

qu

ally

w

ith 8

frie

nd

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

Talk

an

d S

ha

re C

ard

s

8 sa

nd

wic

he

s sh

are

d e

qu

ally

w

ith 6

frie

nd

s

9 sa

nd

wic

he

s sh

are

d e

qu

ally

w

ith 5

frie

nd

s

7 sa

nd

wic

he

s sh

are

d e

qu

ally

w

ith 4

frie

nd

s

13 s

an

dw

ich

es

sha

red

eq

ua

lly

with

8 f

rien

ds

6 sa

nd

wic

he

s sh

are

d e

qu

ally

w

ith 5

frie

nd

s

11 s

an

dw

ich

es

sha

red

eq

ua

lly

with

6 f

rien

ds

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Talk

Sh

are

Ca

rds

Mix

2 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

6 f

rien

ds

5 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

4 f

rien

ds

6 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

8 f

rien

ds

5 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

3 f

rien

ds

1 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

4 f

rien

ds

7 c

an

dy

ba

rs

sha

red

eq

ua

lly

with

6 f

rien

ds

Talk

Sh

are

Ca

rds

Mix

Talk

Sh

are

Ca

rds

Mix

Talk

Sh

are

Ca

rds

Mix

Talk

Sh

are

Ca

rds

Mix

Talk

Sh

are

Ca

rds

Mix

Talk

Sh

are

Ca

rds

Mix

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

1 b

row

nie

sh

are

d e

qu

ally

w

ith 3

frie

nd

s

1 sa

nd

wic

h

sha

red

eq

ua

lly

with

4 f

rien

ds

1 c

an

dyb

ar

sha

red

eq

ua

lly

with

6 f

rien

ds

1 b

ar o

f c

lay

sha

red

eq

ua

lly

with

2 f

rien

ds

1 b

an

an

a

sha

red

eq

ua

lly

with

8 f

rien

ds

1 st

ick

of

taff

y sh

are

d e

qu

ally

w

ith 5

frie

nd

s

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

Talk

an

d S

ha

re-U

nit

Fra

ctio

n

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fra

ctio

n W

ord

s M

at

21

on

e-h

alf

22

two

-ha

lve

s

31

on

e-t

hird

32

two

-th

irds

33

thre

e-t

hird

s

41

on

e-f

ou

rth

42

two

-fo

urt

hs

43

thre

e-f

ou

rth

s

44

fou

r-fo

urt

hs

61

on

e-s

ixth

62

two

-six

ths

63

thre

e-s

ixth

s

64

fou

r-six

ths

65

five

-six

ths

66

six-s

ixth

s

81

on

e-e

igh

th

82

two

-eig

hth

s

83

thre

e-e

igh

ths

84

fou

r-e

igh

ths

85

five

-eig

hth

s

86

six-e

igh

ths

87

seve

n-e

igh

ths

88

eig

ht-

eig

hth

s

Matching Cards: Non-unit Fractions

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

42

41

41+

43

41

41

41+ +

65

61

61

61

61

61+ + + +

Matching Cards: Non-unit Fractions

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

83

81

81

81+ +

85

81

81

81

81

81+ + + +

Matching Cards: Equal Share, Fraction Bar, Number Line

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

2 friends share 1 banana

4 friends share 2 cakes

8 friends share 3 chocolate

bars

6 friends share 5 hot dogs

10 10

Matching Cards: Equal Share, Fraction Bar, Number Line

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

10 10

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Matching Cards: Fractions Describing Sets

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Matching Cards: Fractions Describing SetsMatching Cards: Fractions Describing Sets (cont.)

33

32

31

44

41

43

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Matching Cards: Fractions Describing Sets

66

64

62

63

88

82

Matching Cards: Fractions Describing Sets (cont.)

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Matching Cards: Fractions Describing Sets

86

83

86

83

85

Matching Cards: Fractions Describing Sets (cont.)

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Number Cube: Denominator

Gluing F lap Gluing F lap

Gluing F lap

Glu

ing

Fla

pG

luin

g Fla

pG

luin

g F

lap

Glu

ing

Flap

2

8

4

Your choice (2, 3, 4, 6, 8)

36

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Number Cube: Fraction Model

Gluing F lap Gluing F lap

Gluing F lap

Glu

ing

Fla

pG

luin

g Fla

pG

luin

g F

lap

Glu

ing

Flap

Number Line

Set

Set

Number Line

Frac

tion

Ba

rFr

ac

tion

Ba

r

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

My

nu

me

rato

r is

3 a

nd

I h

ave

8

eq

ua

l pa

rts

in t

he

w

ho

le.

My

de

no

min

ato

r is

6 a

nd

I h

ave

2

sha

de

d p

art

s.

My

nu

me

rato

r is

5 a

nd

I h

ave

6

eq

ua

l pa

rts

in t

he

w

ho

le.

I ha

ve 4

eq

ua

l p

art

s in

th

e

wh

ole

, an

d m

y n

um

era

tor i

s 1.

I ha

ve 4

sh

ad

ed

p

art

s a

nd

my

de

no

min

ato

r is

8.

My

de

no

min

ato

r is

3 a

nd

I h

ave

2

sha

de

d p

art

s.

Wh

at

Fra

ctio

n A

m I?

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

I ha

ve 2

eq

ua

l p

art

s in

th

e

wh

ole

, an

d m

y n

um

era

tor i

s 1.

I ha

ve 7

sh

ad

ed

p

art

s a

nd

my

de

no

min

ato

r is

8

Wh

at

Fra

ctio

n A

m I?

(c

on

t.)

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fraction Cards

21

31

32

41

42

43

61

62

63

64

65

81

82

83

84

85

86

87

Equivalence Matching Cards

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

21

41

42

43

82

84

Equivalence Matching Cards

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

86

62

63

64

31

32

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Are

a M

od

el M

at

Comparison Cards

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

105

106

107

108

105

106

107

108

105

106

Comparison Cards

The Meadows Center for Preventing Educational Risk—Mathematics Institute The University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

10056

10063

10078

10081

10049

10052

10067

10074

10088

10065

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Number Line Mat

10

10

10

10

10

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fraction Comparison Cards

Fraction 1

21

Secret Fraction

31

Fraction 1

81

Secret Fraction

41

Fraction 1

82

Secret Fraction

42

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fraction Comparison Cards (cont.)

Fraction 1

41

Secret Fraction

61

Fraction 1

32

Secret Fraction

62

Fraction 1

63

Secret Fraction

43

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fraction Comparison Cards (cont.)

Fraction 1

83

Secret Fraction

63

Fraction 1

85

Secret Fraction

65

Fraction 1

31

Secret Fraction

32

The Meadows Center for Preventing Educational Risk—Mathematics InstituteThe University of Texas at Austin ©2012 University of Texas System/Texas Education Agency

Fraction Comparison Cards (cont.)

Fraction 1

64

Secret Fraction

84

Fraction 1

42

Secret Fraction

43

Fraction 1

65

Secret Fraction

62