NS 1.5*1)
Explain ([SODLQHTXLYDOHQFHRIIUDFWLRQVLQVSHFLDOFDVHVDQGFRPSDUH
different interpretations of fractions, for example, parts
&&66
IUDFWLRQVE\UHDVRQLQJDERXWWKHLUVL]H
of a whole, parts of a set, and division by whole numbers;
UNDERLYING SKILLS AND CONCEPTS:
meaning of fractions;
spatial visualization;
interpret models
explain equivalent of fractions (see Standards 4.0).
&&66 *1)
([SODLQZK\DIUDFWLRQDELVHTXLYDOHQWWRDIUDFWLRQQ[DQ[E
E\XVLQJYLVXDOIUDFWLRQPRGHOVZLWKDWWHQWLRQWRKRZWKHQXPEHUDQGVL]HRIWKHSDUWV
GLIIHUHYHQWKRXJKWKHWZRIUDFWLRQVWKHPVHOYHVDUHWKHVDPHVL]H8VHWKLVSULQFLSOHWR
UHFRJQL]HDQGJHQHUDWHHTXLYDOHQWIUDFWLRQV
Identify Equivalent Fractions
Fractions that name the same amount in different ways are
equivalent fractions.
a
K
ey Ide
4
1
2
3
! is the same as ! and ! and !.
4
8
12
16
3
6
9
12
! is the same as ! and ! and !.
4
8
12
16
E x am p l E
1
What fraction of each circle is shaded?
1
!
3
2
!
6
E x am p l E
3
!
9
4
!
12
2
What fraction of each model in Example 1 is NOT shaded?
When you name the unshaded part, you also name 4 equivalent fractions.
2
!
3
page 170
4
!
6
6
!
9
8
!
12
Chapter 15 – Lesson 1
D – © CSL Associates, Inc. All rights reserved.
Write 4 equivalent fractions.
Name
P RAC T I C E
Do the models show equivalent fractions? Answer Yes or No. Explain.
1.
2.
No
Yes
Write the two equivalent fractions shown by the shaded parts of the models.
3.
4.
1 2
, 6 12
5.
1 4
, 5 20
6.
D – © CSL Associates, Inc. All rights reserved.
1 4
, 2 8
7.
2 8
, 5 20
8.
1 4
, 3 12
Math
Reasoning
4 16
, 5 20
Number Sense
MR 2.2
of the class wear glasses.
9. Sandra says that 1
3
7
Maria says that 7 out of the 21 students, or , of the class wear glasses.
21
Are they both right? Explain your answer.
1
7
Yes. and are equivalent fractions that represent
3
21
the same part of the students.
Chapter 15 – Lesson 1
page 171
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 114
Name
…at home!
P RAC T I C E
Do the models show equivalent fractions? Answer Yes or No. Explain.
1.
2.
No
Yes
Write the two equivalent fractions shown by the shaded parts of the models.
3.
4.
2 4
, 6 12
6.
1 4
, 2 8
7.
8 16
,
10 20
8.
2 8
, 3 12
Math
Reasoning
7 14
10 20
Number Sense
MR 2.2
of the class are wearing sandals.
9. George says that 1
4
6
Roger says that 6 out of the 24 students, or , of the class are wearing sandals.
24
Are they both right? Explain your answer.
6
Yes. 1
and are equivalent fractions that represent
4
24
the same part of the class..
page 114
Home Resource and Homework
Chapter 15 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
5.
3 12
, 5 20
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:02 Page 315
Name
P RAC T I C E
Do the models show equivalent fractions? Answer Yes or No. Explain.
1.
2.
No
Yes
Write the two equivalent fractions shown by the shaded parts of the models.
3.
4.
1 2
, 6 12
5.
1 4
, 5 20
6.
D – © CSL Associates, Inc. All rights reserved.
1 4
, 2 8
7.
2 8
, 5 20
8.
1 4
, 3 12
Math
Reasoning
4 16
, 5 20
Number Sense
MR 2.2
of the class wear glasses.
9. Sandra says that 1
3
7
Maria says that 7 out of the 21 students, or , of the class wear glasses.
21
Are they both right? Explain your answer.
7
Yes. 1
and are equivalent fractions that represent
3
21
the same part of the students.
Chapter 15 – Lesson 1
Student Book Page
page 171
Name
…at home!
P RAC T I C E
Do the models show equivalent fractions? Answer Yes or No. Explain.
1.
2.
No
Yes
Write the two equivalent fractions shown by the shaded parts of the models.
3.
4.
2 4
, 6 12
6.
1 4
, 2 8
7.
8 16
,
10 20
8.
2 8
, 3 12
Math
Reasoning
7 14
10 20
Number Sense
MR 2.2
of the class are wearing sandals.
9. George says that 1
4
6
Roger says that 6 out of the 24 students, or , of the class are wearing sandals.
24
Are they both right? Explain your answer.
6
Yes. 1
and are equivalent fractions that represent
4
24
the same part of the class..
page 114
Home Resource and Homework
Chapter 15 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
5.
3 12
, 5 20