Equivalent fractions:
Chapter 4:
4.1
Equivalent fractions resources on 10Ticks
Pg 120
4.2
Digital Equivalent fraction resources
- Some VERY VERY good resources here. Well worth having a look!
Pg 121
4.3
Computer room games
Pg 123
4.4
Equivalent fraction resources
Pg 125
4.5
Equivalent fractions dominoes and matching up game
Pg 138
Understanding fraction equivalence is not as simple as it may seem. Some children have
difficulty noting equivalence from pictures. Imagine a circle partitioned into fourths with one of
those fourths partitioned into three equal parts. Some children we worked with were unable to
agree that
3
1
equals even thought they agreed that physically the two sections were the same
12
4
size. Children said that once the lines were drawn in, you could not remove them. [Therefore
3 1
 ]. In reality, that is just what must be done to understand fraction equivalence from a
12 4
picture. (Carmer et al; 2009, p.13)
- 118 -
- 119 -
4.1 ........................................Equivalent fractions resources on 10Ticks:
References to 10 Ticks resources in this Chapter:
Level 4, Pack 4, page 5
Level 5, Pack 2, pages 10 & 11
Level 3, Pack 4, page 37 - 40
Level 4, Pack 5, pages 3-6
Level 4, Pack 4, pages 7 & 8
Level 5, Pack 2, pages 34 - 36
Level 6, Pack 3, Page 16
http://www.10ticks.co.uk/t_buy.aspx
- 120 -
4.2 ....................................................... Digital Equivalent Fraction Resources:
NCTM Fraction Model Applet
(representing fractions, decimals, and percents):
http://my.nctm.org/eresources/repository/
2071/applet/FractionPie/index.html
NLVM's Fractions Equivalent Applet
The computer selects a fraction and asks you to
find an equivalent fraction as you use controls to
place another layer of fractional pieces on top of
the first fraction.
http://nlvm.usu.edu/en/nav/frames_asid_105_g_2
_t_1.html
Math Playground's Fraction Bars
Compare up to four fractions of your choice by
splitting each bar into parts and selecting the
number of parts to color.
http://mathplayground.com/Fraction_bars.html
Illuminations' Equivalent Fractions
Find two equivalent fractions for a given fraction by
dividing two other shapes into parts and coloring parts
while arrows point to their values on a number line.
http://illuminations.nctm.org/ActivityDeta
il.aspx?ID=80
Fraction Bars Applet (Virtual Fractions)
This applet lets you compare up to five fractions,
decimals, and/or percents, but it's a bit clumsy to
set up.
http://www.arcytech.org/java/fractions/f
ractions.html
- 121 -
lesson to accompany the Virtual Fractions
Applet
http://www.frontiernet.net/~mmankus/tal
ks/bars/fbar1.htm
Math Playground's Equivalent Fractions
Find a fraction between two given fractions by
using virtual fraction bars to visualize equivalent
fractions with a common denominator.
http://mathplayground.com/visual_fractions.html
Illuminations' Fraction Game
Try to move your markers across fraction tracks using the
fewest number of fraction cards.
http://illuminations.nctm.org/ActivityDetail.aspx?
ID=18
Fun brain, Fresh baked fractions.
A computerized game, which gives you 4
fractions 3 of which are equivalent. It asks to
determine which one is not equivalent.
It has 4 levels
http://www.funbrain.com/cgibin/fob.cgi?A1=s&A2=2
Index with all the games on it:
http://www.funbrain.com/fractop/index.html
- 122 -
4.3 .............................................. Equivalent fractions Computer games:
Computer room games:
Equivalent fractions
Good starting equivalent fractions
game
http://www.visualfractions.com/LowestCircle.html
Fraction Frenzy
http://www.learningplanet.com/sam/ff/index.asp
Equivalent fraction fireworks
http://www.hbschool.com/activity/mmath/mmath_frac.html
Fraction addition:
- 123 -
A progressive game which you
have to pair up equivalent
fractions. Quite good
http://jamit.com.au/htmlFolder/app1007.html
Fraction Data Base:
http://classroom.jc-schools.net/basic/math-fract.html
Fractions database
http://www.gamequarium.com/fractions.html
Miscellaneous (non- fraction specific) mathematics games:
24:
http://www.surfnetkids.com/games/Math24/
Multiple games:
http://www.surfnetkids.com/games/Math_Games/
Multiple games
http://www.gamequarium.com/multiplication.html
http://www.gamequarium.com/division.html
Word Problems
http://www.quia.com/pop/13193.html
Decimal Jepdody
http://www.quia.com/cb/8142.html
Basic facts
http://www.oswego.org/ocsd-web/games/Mathmagician/cathymath.html
Problem solving
http://www.gamequarium.com/problemsolving.html
http://www.nzmaths.co.nz/BrightSparks/
- 124 -
4.4 .................................................................. Equivalent fraction worksheets:
- 125 -
- 126 -
- 127 -
- 128 -
- 129 -
FRACTION STRATEGIES
Fractions Families
I am learning that fractions can have different names but can be equal in value.
Fractions can look different but they are in fact equal to each other. These are called
EQUIVALENT FRACTIONS.
For the fractions below there are 8 other members of their family hidden in the box at the
bottom. Find these and write them next to the fraction in your books.
Example:
1
2
3
, …………….. and so on
6
2
,
4
=
Exercise One
Find all the members of the family for these fractions:
7
14
7
21
6
30
9
27
5
15
7
28
2
8
9
45
1
5
5
10
2
6
3
12
4
12
3
6
8
24
2
12
3
18
9
36
5
25
3
15
1
6
3
9
6
24
5
30
6
18
1
4
4
8
4
24
4
16
1
3
8
16
8
48
5
20
9
18
1
2
6
12
6
36
8
40
7
35
8
32
4
20
9
54
- 130 -
2
4
7
42
2
10
Exercise Two
Find all the members of the family for these fractions:
6
60
9
63
4
44
5
55
2
16
2
14
3
27
7
56
8
80
2
22
8
64
1
10
5
45
6
54
9
72
4
36
8
56
3
21
7
49
6
66
1
11
4
28
3
24
9
99
7
70
5
35
4
32
9
81
2
18
4
40
9
90
1
9
6
48
8
72
7
63
1
8
3
30
5
40
2
20
3
33
1
7
7
77
- 131 -
6
42
5
50
8
88
- 132 -
- 133 -
- 134 -
- 135 -
- 136 -
Ratio and Proportion Strategies
Which one is bigger and WHY?
I am learning to order fractions using equivalence and benchmarks.
Example:
1.
2.
Which is bigger 2/5 or 7/16 and why?
2
/5 < 7/16 because 2/5 is 1/10 less than ½ and 7/16 is 1/16 less than ½.
Which is bigger 2/3 or 3/4 and why?
3
/4 > 2/3 because 3/4 is 3/12 away from one and 2/3 is 4/12 away from one.
What to do:


Do the problems in your head first.
(1)
Which is bigger 2/5 or 5/10 and why?
(2)
Which is bigger 5/6 or 5/12 and why?
(3)
Which is bigger 4/5 or 3/4 and why?
(4)
Which is bigger 5/8 or 2/3 and why?
(5)
Which is bigger 5/8 or 3/5 and why?
(6)
Which is bigger 3/8 or 4/10 and why?
(7)
Which is bigger 5/6 or 3/4 and why?
(8)
Which is bigger 17/12 or 5/4 and why?
(9)
Which is bigger 7/3 or 11/5 and why?
(10)
Which is bigger 5/8 or 7/12 and why?
(11)
The students in AJ Tutor Group had a shared lunch. Mrs Jones provided some large meat
pies which were divided up amongst those present. Each student received 5/9 of a pie. In JY
Tutor Group they had the same pies however each student received 11/18 of a pie. Which
students got the most pie for lunch and by how much?
(12)
Two tutor teachers each received some sweets to give out to their tutor group. One tutor
was given 5/7 of a bag of sweets and the other tutor was given 3/5 of a bag of sweets. Which
tutor received the greatest fraction and by how much?
(13)
Write two more similar problems of your own.
Write the answer statement and your justification into your books in the SAME way as the
examples.
- 137 -
4.5 ............................................................................ Equivalent Fraction games
Faction dominoes
Cut the following dominoes out. Then in pairs match up the equivalent fractions
1
2
2
5
4
7
1
3
3
9
6
11
1
10
4
40
12
20
5
6
25
30
8
15
1
4
4
20
1
2
15
20
2
8
1
5
13
26
3
4
16
20
7
8
14
16
21
28
3
4
7
10
28
40
1
7
6
16
5
9
2
18
1
6
3
8
10
18
1
9
6
36
2
3
36
45
4
5
1
8
8
64
5
50
1
10
2
20
10
15
3
36
6
14
4
28
2
3
1
12
3
7
1
7
10
50
1
2
24
40
15
30
12
20
6
15
3
5
2
12
2
9
- 138 -
1
6
3
27
12
48
Equivalent Fraction Matching Exercise
7
13
49
91
14
26
42
78
21
39
2
7
24
84
6
21
16
56
8
28
5
8
20
32
35
56
55
88
25
40
3
14
12
56
9
42
33
154
24
112
7
11
42
66
14
22
77
121
91
143
5
12
20
48
10
24
45
108
12
36
1
6
8
48
3
18
24
144
9
54
5
7
20
28
30
42
15
21
60
84
7
9
35
45
70
90
28
36
14
18
5
6
35
42
15
18
25
30
65
78
- 139 -
6
7
120
140
60
70
42
49
132
154
2
13
8
52
12
78
10
65
12
91
3
4
27
36
69
92
39
52
63
84
1
2
72
144
52
104
27
54
39
78
11
12
77
84
121
132
33
36
55
60
4
5
32
40
48
60
52
65
24
30
13
14
143
154
65
70
26
28
39
42
6
13
24
52
18
39
30
65
60
130
4
7
12
21
44
77
8
14
48
84
5
9
10
18
25
45
50
90
110
198
- 140 -
- 141 -