A small ppt for teaching concepts of fractions

1. Fractions
Lets learn some concepts…….

2. Fractions
How did Egyptians count??
Hieroglyphs
[source :NRICH enriching mathematics
http://nrich.maths.org/2515 ]
How about lesser than one
Mouth
For e.g :One fifth:
No of
parts

3. What is a fraction
Why use the word
FRACTION??
means---„Break‟(originates in latin)
From a „Whole‟
many „parts‟ are broken--Fractions

4. Write fractions
Easy to say „give me
HALF an apple‟
How to write??
1 piece
-------------(out of)
Very Easy………. 2 pieces

5. What are the parts
1 piece Funny to tell ‘Top part’
-------------(out of)
and ‘Bottom part’
2 pieces
Soooooooo……………...
1 Numerator How many parts U want Top part---Numerator
Denominator Total No. of parts U have
2
Bottom part----
Denominator

6. Have you got it right??
Is 34 a Whole
Yes No
number?
Is one quarter a Yes No
Fraction
Is one fifth a Fraction Yes No
Is five fifth a Fraction Yes No
Top half of a fraction Denominator Numerator Integer Lid
is called

7. Status
Sorry!!!!
Lets think again…
Lets think differently!!

8. Status
Good Job!!
Your concepts is getting
clearer!!

9. Status
Great!!!
Your concepts are clear!!
Lets proceed now….

10. Forms of fraction
Numerator Prim
Proper fraction: Is less than &
Denominator Proper like us
E.g 3/4,5/7, 12/29
Numerator
Improper fraction:
Source:blogs.coventrytelegraph.net
Is greater than
Denominator
It‟s O.K to be
E.g 4/3,7/5, 29/12 ImProper??
Partly a Whole
number
Mixed Numbers: &
Partly a fraction source:http://tapiture.com/image/improper-wrong-and-hilarious-
thechive-8
E.g 2 1/2, 5 7/5

11. Thinking hats on..
Click “Y” for Yes and “N” for No
Not a
Is 1/2 proper Y N fraction
Is 2/2 Not a
Y N fraction
improper
Not a
Is 3/2 proper Y N fraction
Not a
Is 4/2 proper Y N fraction
Is 11/2 improper Y N Not a
fraction
Not a
Is 2/11 proper Y N fraction

12. Status
Sorry!!
Lets think again…
Lets think differently!!

13. Status
Good Job!!
Your concepts is getting
clearer!!

14. Status
Great!!!
Your concepts are clear!!
Lets proceed now….

15. comparing
I baked this cake twice
Monday Friday
Expected 4 friends Expected 4 friends
Divided into 4 parts Divided into 2 parts
Only 2 turned up Only 2 turned up
Yeah!!!got to eat 1 huge part of the
Yummy got to eat 2 parts out go 4
2 parts
2 1
--------- ---------
4 2
Which day did I eat more????

16. Explanation….
Monday Friday
Whole cake 2 1
------ ------
4 2
1 3 1 2
2 4
You ate same amount on Monday & Friday
2/4 is equivalent to 1/2

17. Mathematically compare
2 fractions Sorry!
The sword has
Make the denominators of the 2 no answer
fractions same
Source: Thevoiceclub.com
Rule 1: If denominators are SAME then just compare numerators
Sorry!
E.g 2 3 The sword cannot
<
-------------- ---------------
make them SAME
4 4
Rule 2: If denominators are NOT same then just make them
same and then compare numerators...
Always remember: Be fair Numerator & Denominator
with you do to numerator
What
Do it to the denominator
1 X2 2
For example: -------------- -----
2 X2 4

18. Six Simple Steps(3S) to compare fractions
Lets Compare 1 ,
--------------
3
---------------
4 5
Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
Step 5: Be fair and multiply the numerators too with the same no. respectively
Step 6: Compare the numerators NOW
Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,
x5 5 < 12 x4
1 5 3 12
--------------
4 x5
--------------
20 < ---------------
5 x4
20
Thus…... 1 <
--------------
4
--------------
3
---------------
5

19. Lets practise Comparing
Click which is larger among the 2
fractions
Compare 3/4 with 5/6 3/4 5/6
Compare 7/9 with 5/6 7/9 5/6

20. Awesome!!!
Did you follow the Six Simple Steps
Lets compare if you have
worked out differently

21. Good try!!!
Are you sure you followed the Six Simple Steps
Lets see if you have
Missed any step

22. Awesome!!!
Did you follow the Six Simple Steps
Lets compare if you have
worked out differently

23. Good try!!!
Are you sure you followed the Six Simple Steps
Lets see if you have
Missed any step

24. Lets do our Six Simple Steps
3 5
Lets Compare
------ , ------
4 6
Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
Step 5: e fair and multiply the numerators too with the same no. respectively
B
Step 6: Compare the numerators NOW
4, 8, 12, 16, 20, 24, 28, 32, 36, 4
Multiples of 4 : 0
Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,……..
x3 9 < 10 x2
3 9 5 10
--------------
4 x3 12
--------------
6 x2 12 <Thus…... 3 < 5
---------------
4
--------------
-------------- ---------------
6
Proceed to next question

25. Lets do our Six Simple Steps
7 5
Lets Compare
------ , ------
9 6
Step 1: Rule2 : Denominators are not same….List all the multiples of the 2 denominators
Step 2: Circle all the common multiples
Step 3: Find the lowest common multiple(LCM)
Step 4: Convert the denominators to the least common multiple
Step 5: Be fair and multiply the numerators too with the same no. respectively
Step 6: Compare the numerators NOW
9, 18, 12, 36, 45, 54, 63, 72, 81,
Multiples of 9 : 90
Multiples of 6 : 6, 12, 18, 24, 30, 36, 42,……..
x2 14 < 15 x3
7 14 5 15
--------------
9 x2 18
--------------
6 x3 18 <
Thus…... 7 < 5
---------------
9
--------------
-------------- ---------------
6

26. Simplifying Fractions
Fractions can be made as simple as
possible
4/8 2/4 1/2
4 out of 8 parts 2 out of 4 parts 1 out of 2 parts
If you say you ate
Four
Same as
Two Same as One Half
eighths of
quarters
a cake

27. “Simplicity is the ultimate sophistication”
― Leonardo da Vinci
4 Steps to simplify
Lets try to simplify(lowest form) Factors of
36 36 24
----------
24
Step 1: List all the Factors of the Numerator
& denominator
Step 2: Circle all the prime factors
3 12 3 8
Step 3: Multiple common primes to get
Greatest Common Factor
Step 4: Divide numerator and denominator with GCF 4 3 4 2
36 3
---------- = ---------- 2 2
24 4
2 2
36 ÷ 12 = 3
-----------------------------------------
÷
24 12 = 4 3 X 2 X 2 = 12

28. Thank you!!!
Hope you can continue from here…….
If there is any other concept you want to be
explained email Vidhya @
anavidya@gmail.com