Varied Fluency
Step 2: Fractions on a Number Line
National Curriculum Objectives:
Mathematics Year 6: (6F2) Use common factors to simplify fractions; use common multiples
to express fractions in the same denomination
Mathematics Year 6: (6F3) Compare and order fractions, including fractions > 1
Mathematics Year 6: (6F11) Recall and use equivalences between simple fractions,
decimals and percentages, including in different contexts
Differentiation:
Developing Questions to support placing and comparing fractions less than 1 on a number
line. Denominators are direct multiples.
Expected Questions to support placing and comparing fractions on a number line whose
denominator are multiples of each other. Some use of improper fractions and mixed
numbers less than 2.
Greater Depth Questions to support placing and comparing fractions on a number line
whose denominators are not multiples of each other and may require simplifying. Some
use of improper fractions and mixed numbers less than 2.
More Year 6 Fractions resources.
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Varied Fluency – Fractions on a Number Line – Teaching Information
© Classroom Secrets Limited 2018
0
1
Fractions on a Number Line Fractions on a Number Line
1a. Fill in the missing fractions. 1b. Fill in the missing fractions.
2a. Match the fractions to their place on
the number line.
2b. Match the fractions to their place on
the number line.
3a. Find the largest fraction by correctly
placing these fractions onto the number
line.
3b. Find the largest fraction by correctly
placing these fractions onto the number
line.
4a. True or false? The fractions have been
placed on the number line accurately.
4b. True or false? The fractions have been
placed on the number line accurately.
0
1
D
D
D
D
VF
VF
VF
VF
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Varied Fluency – Fractions on a Number Line – Year 6 Developing
© Classroom Secrets Limited 2018
D
D
D
D
VF
VF
VF
VF
B AC
2
10
2
6
12
3
0
1
3
5
1
4
8
2
2
3
8
5
5
10
2
7
8
8
0
1
3
5
4
9
1
10
5
10
10
5
10
10
2
12
B A C
8
3
10
10
5
20
2
20
3
8
9
9
10
2
7
18
3
9
0
1
3
7
8
9
11
1
12
6
12
3
12
6
12
12
6
12
0
1
3
1
14
4
2
16
Fractions on a Number Line Fractions on a Number Line
5a. Fill in the missing fractions. 5b. Fill in the missing fractions.
6a. Match the fractions to their place on
the number line.
6b. Match the fractions to their place on
the number line.
7a. Find the largest fraction by correctly
placing these fractions onto the number
line.
7b. Find the largest fraction by correctly
placing these fractions onto the number
line.
8a. True or false? The fractions have been
placed on the number line accurately.
8b. True or false? The fractions have been
placed on the number line accurately.
14
1
1
12
7
16
4
8
4
E
E
E
E
VF
VF
VF
VF
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Varied Fluency – Fractions on a Number Line – Year 6 Expected
© Classroom Secrets Limited 2018
E
E
E
E
VF
VF
VF
VF
6
16
1
2
6
12
3
0
2
6
16
10
1
2
5
10
10
5
4
9
5
5
0
1
3
1
1
1
3
2
5
5
10
5
10
5
20
0
2
4
1
27
10
15
0
2
5
15
8
8
11
7
14
1
1
8
4
16
4
0
1
1
4
5
1
18
1
11
2
6
12
6
6
3
12
6
6
B CA
4
12
B AC
4
5
0
1
2
6
1
18
5
10
Fractions on a Number Line Fractions on a Number Line
9a. Fill in the missing fractions. 9b. Fill in the missing fractions.
10a. Match the fractions to their place on
the number line.
10b. Match the fractions to their place on
the number line.
11a. Find the largest fraction by correctly
placing these fractions onto the number
line.
11b. Find the largest fraction by correctly
placing these fractions onto the number
line.
12a. True or false? The fractions have
been placed on the number line
accurately.
12b. True or false? The fractions have
been placed on the number line
accurately.
0
2
2
20
1
6
3
15
9
0
2
GD
GD
GD
GD
VF
VF
VF
VF
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Varied Fluency – Fractions on a Number Line – Year 6 Greater Depth
© Classroom Secrets Limited 2018
GD
GD
GD
GD
VF
VF
VF
VF
10
12
1
4
15
9
6
5
9
9
1
3
4
8
6
8
7
14
8
8
0
2
6
3
1
1
1
3
2
10
15
10
5
10
15
10
3
1
15
8
12
20
0
2
6
8
8
18
10
10
7
18
16
1
1
5
15
10
10
0
1
4
1
1
2
4
8
12
4
4
12
8
0
2
B CA
1
3
1
9
1
3
4
6
12
B AC
Varied Fluency
Fractions on a Number Line
Varied Fluency
Fractions on a Number Line
Developing
1a.
2a.
3a. The largest fraction is .
4a. True
Expected
5a.
6a.
7a. The largest fraction is .
8a. False
Greater Depth
9a.
10a.
11a. The largest fraction is .
12a. True
Developing
1b.
2b.
3b. The largest fraction is .
4b. False
Expected
5b.
6b.
7b. The largest fraction is .
8b. True
Greater Depth
9b.
10b.
11b. The largest fraction is .
12b. False
A
=
6
B
=
16
C
=
1
2
6
12
3
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Varied Fluency – Fractions on a Number Line ANSWERS
© Classroom Secrets Limited 2018
0
1
2
3
8
1
1
1
14
1
3
36
2
5
5
5
10
5
10
5
20
16
10
0
1
1
3
4
5
3
7
4
9
1
10
5
10
10
10
5
10
5
10
0
1
1
3
1
5
3
7
8
9
5
11
1
12
6
12
3
12
6
12
12
12
6
12
A
=
10
B
=
2
C
=
2
12
3
6
A
=
3
B
=
10
C
=
8
5
20
10
3
4
7
9
0
1
1
6
4
5
1
1
4
18
1
4
11
2
6
3
12
6
6
6
3
12
6
6
A
=
27
B
=
1
3
C
=
4
15
5
10
7
4
0
2
6
3
8
1
1
1
14
1
3
27
2
10
15
5
10
5
10
5
15
A
=
12
B
=
10
C
=
1
4
9
15
6
9
6
0
1
4
9
4
1
1
18
1
6
2
4
8
12
4
4
12
8
A
=
1
15
B
=
3
C
=
10
20
12
8
16
10