Download Maths Learning Design Topic: Fractions Class: Year 4 Year 6 (I

Maths Learning Design
Topic:
Subtopic :
Content
Learning
Objectives:
Fractions
Year 4
4 to 6 periods
Class:
Duration:
Convert Improper Fractions into Mixed Number
Year 6 (I)
and vice-versa
Pupils should be able to:
• Identify improper fractions and mixed numbers using concrete material and drawings.
• Represent improper fractions and mixed numbers using concrete material and drawings.
• Express an improper fraction as a mixed number and vice-versa.
Teaching & Learning Activities
1.
Tuning in
(Introduction)
Determine prior
knowledge and
prepare pupils
2.
3.
4.
5.
1.
Resources
Use concrete representations to explain the meaning
of a ‘proper fraction’.
Use paper folding and shading activity to introduce.
Ask the pupils to compare the numbers in the
numerator and the denominator. For proper fractions,
the numerator is always smaller than the denominator.
Any fraction with value smaller than ONE is called a
proper fraction.
The teacher may show using fraction circles as well as
using various shapes. (Appendix 1).
•
•
•
Summary
Appendix 1
Fractions
circles
Strips of papers
Introduce ‘improper fraction’ by using concrete
representations:
Ask them to name each shaded part → one sixth
(Fraction Pizza or Fraction Circles).
Show them the 7 sixths.
Finding out &
Sorting out
(Lesson
Development)
Put all the one-sixth together. There are 7 sixths.
(Take out all the one-sixth from each whole by cutting
the shaded parts only).
Ask the pupils to combine all the 7 sixths.
Time to locate,
gather information,
organise and
process ideas.
2.
Emphasise that improper fractions depict that the
given fractions add up to be greater than a whole.
Examples: 7 and 9 .
6
3.
8
Improper fraction is also a fraction with a numerator
that is equal to the denominator.
Examples: 10 and 8 .
10
8
1
•
•
•
Fraction pizza
Fraction circles
Appendix 2
Pupils should be able
to visualize using
concrete
representations of
improper fractions.
4.
5.
10
8
and
are
10
8
improper fractions and they refer to whole numbers.
(Teacher may also use rectangular shapes for further
understanding) – (Appendix 2).
1
Make connections with 7 sixths to 1 .
6
(The teacher may demonstrate using fraction pizzas or
fraction circles).
Emphasise that fractions such as
=
=
6
6
=
•
•
1
1
is a ‘mixed number’. A mixed
6
number is a number made up of a whole number and a
fraction. (Appendix 3).
7. Group pupils into 3 or 4 according to their abilities.
8. Distribute to each group with Activity Sheet
(Appendix 4).
9. Provide each group with concrete material such as
Fraction Circles (Appendix 5) to explain how an
improper fraction is converted into a mixed number.
10. Then, pictorial representation (shading given fraction
diagram) to illustrate improper fractions and state the
mixed numbers.
11. Ask the pupils to look at the information gathered and
organised the information according to the task given.
12. Each group presents their findings.
6.
Introduce that 1
2
•
Appendix 3
Appendix 4
(Activity
Sheet)
Appendix 5
Pupils should be able
to recognise fractions
with the same
numerator and
denominator as whole
numbers.
1.
2.
3.
Teacher discusses and generalises what they have
presented. Teacher emphasises on what proper
fraction, improper fraction and mixed numbers are.
4 6
Improper fractions such as , etc are expressed as
4 6
1 whole.
After the discussion, make the pupils notice that the
denominators of improper fractions are the same as
the denominators of a mixed number.
Using fraction circles or fraction pizza, demonstrate
why we multiply the whole number to the
denominator and add the result with the numerator.
Making
Conclusions
Draw conclusion
and consolidate
understanding
•
4.
Using fraction disc or fraction pizza, demonstrate how
to change improper fractions into mixed numbers
using division methods.
5.
Teacher asks pupils to convert improper fractions into
mixed number & vice-versa given on a worksheet
(Appendix 6).
Teacher asks each pupil to find any daily life
experience based on the conversion of improper
fraction into mixed number.
Teacher provides them with manila cards and
coloured A4 paper. Inform them that they may put
pictures or diagrams to make their explanation of
converting mixed number to improper fraction.
1.
Go further
(Enrichment)
Apply knowledge to
develop further
understanding
2.
•
•
•
•
Fraction
Circles
Fraction Pizza
Appendix 6
At this stage, the
pupils should be able
to convert improper
fractions into mixed
numbers by using
concrete
representations and
pictorially
Manila cards
Coloured A4
paper
Evaluation (with respect to the Content Learning Objectives)
What worked well?
What would make it even better next time?
3
APPENDIX 1 – Proper Fractions
4
7
4
5
7
12
4
APPENDIX 1 – Proper Fractions
5
APPENDIX 2 – Improper Fractions
7
6
7
6
7
4
6
APPENDIX 2 – Improper Fractions
8
8
1
8
+
=
9
8
6
6
4
4
8
8
10
10
7
APPENDIX 3 – Mixed Number
=
1
7
6
16
=
6
6
1
=
4
4
4
4
1
4
1
1
1
24
8
1
4
APPENDIX 3 – Mixed Number
9
9
2
9
equals to
1
+
2
9
=
9
1 92
APPENDIX 4 – Activity Sheet
Group Name: _________________________
Group Members:
1) _________________________________________
2) _________________________________________
3) _________________________________________
4) _________________________________________
You need:
ü Fraction circles
ü Strips of Paper
ü Mah-jong paper
ü Marker pen
What to do:
1. Create at least five (3) improper fractions as you can.
2. Create at least five (3) mixed numbers as you can.
3. On a mah-jong paper, create drawing of mixed numbers change into improper fractions
OR
Create drawing of improper fractions change into mixed numbers.
10
APPENDIX 5 – Fraction Circles
11
APPENDIX 6 – Worksheet
Name : ________________________________ Year : _______
Answer all questions. Please show your workings if necessary.
1. Change the improper fractions to mixed numbers.
a
3
2
c
12
7
b
7
5
d
11
6
2. Change the mixed numbers to improper fractions.
a
3
2
3
c 4
1
7
b
2
5
8
d 3
3
4
12
Date : __________________
APPENDIX 6 – Worksheet
3. Study the figure below.
a
Write an improper fraction for the shaded part.
= _____________
b
Write a mixed number for the shaded part.
= _____________
c
Write a mixed fraction for the shaded part.
= _____________
d
What fraction does the figure show?
Give your answer as an improper fraction.
= _____________
13
APPENDIX 6 – Worksheet
4. Study the figure below.
a
b
c
d
Shade 3
Shade
17
of the diagram below.
4
Shade 2
Shade
5
of the diagram below.
6
3
of the diagram below.
5
29
of the diagram below.
9
14