TOPIC
15 Fractions 2
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Strand: Number
Strand unit: Fractions
Calculate a fraction of a set using concrete materials.
Calculate a number, given a multiple fraction of the number.
Express 1 number as a fraction of another number.
Solve and complete practical tasks and problems involving fractions.
Looking back: What the 3rd class programme covered
1. Calculating a fraction of a set using concrete materials and fraction of a number.
2. The relationship between fractions and division.
3. Calculating a number given a unit fraction of the number.
Maths skills used in this topic
1. Communicating and expressing: Communicate and express mathematical ideas, processes
and results in oral and written form.
Activity cubes, counters
Vocabulary
Numerator (number above the line in a fraction), denominator (number below the
line in a fraction)
Teaching points
1. Revise division tables – much of the work covered in this topic has close ties to dividing.
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1
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2. Begin with lots of activities on unit fractions of a number: 5 of 45, 8 of 48, 10 of 30, etc. Use
manipulative materials to enable the children to physically divide sets into fractions.
3. Progress to fractions where the numerator is greater than 1.
Fans:
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1
1 1 1
Hide then show 8 of a number, 4 of any given number 2 , 5 , 6 , etc.
Target board 8:
Identify whole numbers fraction numbers and mixed numbers.
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How many 4 s in each number?
Loop game (see Folens Planet Maths Resources):
Fractions
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Topic suggestions
1. Real understanding of this topic will benefit greatly from a practical approach.
Distribute lots of counters (buttons, matchsticks, cubes, etc.) and ask the students to form a
bundle, e.g. of 24. Divide this into sixths. How many are in 56 , etc?
2. Similarly ask the children to put counters in front of them, e.g. 8 counters, and tell them this is
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4 of the full amount. How many are there altogether?
3. Ask the children to place 15 counters in front of them and tell them this is 35 of the full
amount. How many are in 15 ? How many are there altogether?
Activity A
Ask questions, such as:
1. How many creatures are in the first row?
2. What fraction of all the creatures are in the first row?
3. How many creatures are in the third column?
4. What fraction of all the creatures are in the third column?
5. How many creatures in red (yellow, green, grey) squares?
6. What fraction of all the creatures are in red (yellow, green, grey) squares?
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7. Explore the equivalence of 24 and 3 .
8. What fraction of the creatures can fly?
9. What fraction of the creatures spend most of their lives swimming?
Differentiation
Lower attainers:
Separate activity page.
Higher attainers:
Use puzzles such as:
1. A bus set out with a number of passengers.
2. At the first stop, 16 of the passengers got out.
3. At the second stop, 15 of the remaining passengers got out.
4. At the third stop, 14 of the remaining passengers got out.
5. At the fourth stop, 13 of the remaining passengers got out.
6. At the fifth, 12 of the remaining passengers got out.
7. At the last stop the last remaining passenger got out.
How many passengers began the journey? (6)
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Topic
Topic
15
15
1. Colour
1
4
of the alligators green. Colour
1
3
of the alligators red. What fraction of the alligators
1
3
of 12 = _____________ (b)
1
2
of 12 = _____________
(c)
2
3
of 12 = _____________
(d)
1
6
of 18 = _____________ (e)
1
4
of 20 = _____________
(f)
3
4
of 20 = _____________
(g)
1
10
of 50 = _____________ (h)
1
5
of 25 = _____________
(i)
3
5
of 15 = _____________
(j)
1
12
of 24 = _____________ (k)
1
8
of 32 = _____________
(l)
7
8
of 24 = _____________
(m)
1
6
of 48 = _____________ (n)
1
9
(o)
4
9
of 18 = _____________
1. (a)
did you not colour? ____________
of 72 = _____________
2. Lorraine had a book with 75 pages. She has read
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3
of the book. How many pages has she read?
_________________
3. 95 children took part on sports day and were asked what their favourite activity was.
4
5
of them
said the tug-of-war. How many children preferred the tug-of-war? _________________
2. (a)
1
4
of 20 = ____ (b)
(f)
1
3
1
4
4. Brian the painter needed 144 litres of paint to paint the school hall.
of 28 = ____ (c) 14 of 36 = ____ (d)
1
4
of 44 = ____ (e)
1
4
of 48 = ____
of 39 = ____
of 18 = ____ (g)
1
3
of 24 = ____ (h) 13 of 33 = ____ (i)
1
3
(j)
1
3
of 45 = ____
3. (a)
1
5
of 15 = ____ (b)
1
5
of 30 = ____ (c) 15 of 35 = ____ (d)
1
5
of 45 = ____ (e)
1
5
of 60 = ____
(f)
1
6
of 24 = ____ (g)
1
6
of 42 = ____ (h) 16 of 48 = ____ (i)
1
6
of 54 = ____
1
6
of 60 = ____
4. (a)
1
3
of 21 is ____
2
3
of 21 is ____
(b) 13 of 30 is ____
(c)
1
4
of 24 is ____
3
4
of 24 is ____
(d) 14 of 32 is ____
2
3
3
4
5
6
of this paint was white.
How many litres were white? _________________
5. If there are 500 pages in a ream of paper, how many pages are in
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10
of a ream? _______________
6. What is the whole number?
(a)
1
3
is 9
___________
(b)
1
2
is 13
___________
(c)
2
3
(d)
1
8
is 11 ___________
(e)
1
6
is 14
___________
(f)
is 16 ___________
is 18
___________
3
4
is 36
___________
of 30 is ____
(g)
is 6
___________
(h)
1
12
(i)
7
9
is 35
___________
of 32 is ____
(j)
1
4
is 12
___________
(k)
3
5
is 30
___________
(l)
11
12
is 22 ___________
(m)
1
5
is 9
___________
(n)
7
8
is 28
___________
(o)
4
11
is 32 ___________
5. (a)
1
5
of 20 is ____
4
5
of 20 is ____
(b) 15 of 40 is ____
4
5
of 40 is ____
(c)
1
6
of 30 is ____
5
6
of 30 is ____
(d) 16 of 42 is ____
5
6
of 42 is ____
(j)
7.
8.
1
9
3
4
of a pizza weighs 360g. How much does the whole pizza weigh? _________________
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3
of the children in Ms O’Neill’s class are girls. If there are 18 girls, how many children are in
Ms O’Neill’s? _________________
6. Write your answers in the sky.
9. A visitors’ centre had 90 visitors one Sunday which was
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6
of the number of people who visited
over the weekend. How many people visited over the weekend? _________________
10. A DVD shop has
of its stock out on loan. If there are 60 DVDs on the shelves:
(b) How many DVDs are out on loan? _________________
11. What fraction of an hour is each of the following?
(b) 30 minutes ___________
(c) 20 minutes __________
(d) 10 minutes ___________
(e) 45 minutes ___________
(f) 50 minutes __________
(g) 25 minutes ___________
(a) 15 minutes ___________
(h) 60 minutes ___________
(i) 5 minutes __________
Name: _______________________________________
Date: ___________________
© Folens Photocopiables
Date: ___________________
© Folens Photocopiables
Name: _______________________________________
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5
(a) How many DVDs does the shopkeeper own? _________________
Linkage
Number: Operations (dividing)
Integration
SPHE – Social Skills: Importance of sharing as a social skill
Maths at home/parental involvement
Finding fractions at home: Carry out a fraction audit to find examples of fractions in use in
different rooms of the house. In the kitchen (cut the cake into sixths). At the party (share the
jelly beans fairly among 10 children). In the shed (divide the nails equally among 4 bags). In the
garden (design a vegetable patch by dividing it into 8 equal parts and growing a different crop
in each). At the match (at what time will half-time in the match start?). Timekeeping (how many
minutes in a quarter of an hour?).
Notes
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