MATHEMATICS
Y4 Knowing and Using Number Facts
4307
Identify pairs of fractions that total 1
Equipment
Paper, pencil, ruler
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4307 Identify pairs of fractions that total one
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Concepts
Children should be able to identify two fractions which total one whole one.
There are two aspects to this: firstly the concept that if the numerator and
denominator are the same then the fraction will total one
Eg
4
4
This can be demonstrated by viewing the fraction as a division sum: 4 divided by
4 is 1.
Secondly, a knowledge of equivalent fractions is needed when the bottom
numbers or denominators are nor the same eg
3
2
and
4
8
At this stage we are keeping to those fractions which children should be familiar
with: halves, quarters, eighths, fifths and tenths.
4307 Identify pairs of fractions that total one
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1.
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In this rectangle there are 8
squares.
And 4 of them are
shaded.
a) How many more squares need to be shaded to shade the whole
rectangle?
b)
How many squares are there in this rectangle?
How many squares are shaded?
What fraction is shaded?
What fraction is not shaded?
I love butterflies!
c)
How many butterflies are there?
How many butterflies are ringed?
What fraction is ringed?
What fraction is not ringed?
4307 Identify pairs of fractions that total one
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1. Make the fractions add up to one by putting a number in the boxes.
a)
b)
c)
d)
1 +
5
2 +
5
2 +
10
6 +
10
=1
5
=1
5
=1
10
=1
10
2. a) How many thirds make a whole one?
b) How many fifths make a whole one?
c) How many tenths make a whole one?
3. a) What do you need to add to
6
to make one whole one?
10
b) What do you need to add to
4
to make one whole one?
5
c) What do you need to add to
2
to make one whole one?
6
4307 Identify pairs of fractions that total one
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1. Make the fractions add up to one by putting a number in the boxes.
a)
b)
c)
d)
1 +
4
3 +
5
4 +
10
7 +
10
=1
4
=1
5
=1
10
=1
10
2. a) How many quarters make a whole one?
b) How many sevenths make a whole one?
c) How many ninths make a whole one?
3. a) What do you need to add to
3
to make one whole one?
10
b) What do you need to add to
4
to make one whole one?
7
c) What do you need to add to
5
to make one whole one?
6
4307 Identify pairs of fractions that total one
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Make fractions that total one
1
3
4
5
1
8
2
5
Total
one
4
9
3
7
6
7
5
6
4307 Identify pairs of fractions that total one
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Make fractions that total one
1
4
3
6
1
9
1
6
Total
one
3
5
2
8
5
8
4
7
4307 Identify pairs of fractions that total one
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1. Make the fractions add up to one by putting a number in the boxes.
a)
b)
c)
d)
e)
f)
2
4
+
=1
2
3 +
5
1
3
+
2
5
+
=1
10
=1
6
6 +
10
6 +
8
=1
10
=1
5
=1
4
4307 Identify pairs of fractions that total one
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1. Make the fractions add up to one by putting a number in the boxes.
a)
1
5
+
8
=1
b)
3
6
+
1
c)
2 +
3
2
=1
d)
2 +
10
4
=1
e)
2
4
+
4
=1
f)
6
8
+
1
=1
=1
4307 Identify pairs of fractions that total one
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Answers
Page 3
1. a) 4 squares
b) 10 squares, 5 shaded, 5/10 shaded, same as 1/2
5
/10 unshaded, same as 1/2
c) 6 butterflies, 2 ringed, 2/6 ringed, same as 1/3
4
/6 not ringed, same as 2/3
Page 4
1. a. 4/5 b. 3/5 c. 8/10 d. 4/10
2. a. 3 thirds b. 5 fifths c. 10 tenths
3. a. 4/10 b. 1/5 c. 4/6 or equivalent
Page 5
1. a. 3/4 b. 2/5 c. 6/10 d. 3/10
2. a. 4 quarters b. 7 sevenths c. 9 ninths
3. a. 7/10 b. 3/7 c. 1/6
Page 6
Clockwise from the top: 2/3
Page 7
Clockwise from the top: ¾
3/5
5/6
4/7
1/6
1/7
5/9
7/8
1/5 or equivalent
6/8
3/7
3/8
2/5
8/9
3/6 or equivalent
Page 8
1. a) 1/2
b)
4/10
c) 4/6
d) 6/10
1/2
c) 2/6
d) 4/5
e) 2/5
f) 1/4
Page 9
1. a) 8/10
b)
e) 4/8
f) 1/4