Points to remember
Month – December
Theme – Transport and Communication
Topic – Fraction
1. Definition: A fraction is a part of a whole. The part can be a region or a collection.
Eg:
a. Region: Fraction of coloured parts =2/4
b. Collection:-
Fraction of coloured stars =3/7,
2. Fraction =
Fraction of uncolored stars =4/7
Numerator
(Number of parts taken)
------------------Denominator (Total number of parts)
Note: The numerator and denominator of a fraction are called terms.
Unit fractions: If the fractions have numerator as 1 then the fraction is called a unit fraction.
For example: ½, ¼ etc.
Equivalent fraction: The fractions that name the same part are called equivalent fractions.
For example:
Like fractions: Fractions which have same denominator are called like fractions. Eg: 3/8 and
5/8
Unlike fractions: Fractions which have different denominators are called unlike fractions.
For eg: 2/4 and 4/8.
Comparing like fractions
To compare like fraction, compare the numerators. The fraction with greater numerator is
the greater fraction.
Mixed Fractions – When an improper fraction is written as the sum of a
and proper fraction then it is called mixed fractions. Eg – 1 ¾
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whole number
Task 1: Represent the given fraction on the number line
Process success criteria
1. Draw a number line.
2. Mark the whole numbers 0 and 1.
3. Divide the segment into 4 equal parts.
4. Mark the points of division as ¼, 2/4 , ¾.
Exercise: 1. Represent 3/4 on the number line.
2. Represent 6/8 on the number line.
Task 2 – to identify proper, improper and mixed fractions
Process success criteria
1. Fraction in which numerator is smaller than the denominator, it is called proper
fractions
2. If the numerator is greater than the denominator, it is called improper fractions
3. A fraction which is a combination of a whole number and a fraction, it is called
mixed fraction.
Exercise – identify the fractions as proper, improper and mixed fractions.
a. 5/7
b. 9/4
c. 2/3
d. 1 ½
e. 23/13 f. 5 2/9
Task 3: To identify the like and unlike fractions
Process success criteria:
1. Check the denominators
2. If the denominators are same they are like fractions.
3. If the denominators are different they are unlike fractions
Exercise 1) 2/6, 5/6
2) 1/6, 5/7, 8/10
3) 4/9, 5/9, 6/9 4) 2/7,
1/3
Task 4: To Compare the like fractions
Process success criteria
1. Compare the numerators
2. The fraction with greater numerator is the greater fraction.
Exercise – 1) 4/15 _________ 11/15
2) 23/45 _______ 26/45
3) 93/100_______99/100
4) 97/115 ___________67/115
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Task 5 - To compare fraction with same numerator
Process Success Criteria
Compare the numerators
If the numerator are same, compare the denominators
The fraction with smaller denominator with be greater
Exercise – 17/35 ____________17/19
33/90 ___________33/135
900 + 10+ 1/1000 ____________91/2000
Task 6 – To compare unlike fraction using cross multiplication
Process Success Criteria
1.N1/D1 Box is there N2/D2
2. Multiply N1 by D2 and N2 by D1
3. Now compare the product
Exercise a. 4/7 _______7/8
b.6/20 ______3/10
c. 4/12 ________8/15
Task 7: To arrange the fractional numbers in ascending or descending
order
Process success criteria
1. Observe the numerator
2. If the fractions have the same denominator then the fraction with
greater numerator is greater.
3. If the fractions have the same numerator , then the fraction with
lowest denominator is greater
4. Arrange in ascending/descending order as directed.
Exercise: 1. Arrange in ascending order - 3/5, 2/5, 1/5, 4/5, 5/5
2. Arrange in descending order - 4/11, 6/11, 2/11, 8/11, 3/11
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Addition of like fractions - When we add like fractions we add the
numerator and write the sum over the same denominator.
-
2/8 + 3/8 = 5/8
Subtraction of like fractions – When we subtract like fraction we subtract
the numerator and write the difference over the same denominator.
-
5/8 – 3/8 = 2/8
Task 8 – To add or subtract like fractions.
Process Success Criteria –
1. Add or subtract the numerator
2. Write the sum or difference over the same denominator
3. Reduce into simplest form if possible.
Exercise –
1. Add the numbers – a. 2/7 + 3/7 b. 1/17 + 6/17 c. 5/20 + 1/20+ 9/20
2. Subtract the numbers – a. 3/4 - 2/4 b. 8/16 – 5/16 c. 24/25- 14/25 -5/25
Task 9: Find the fraction of a number.
Process success criteria
1. Multiply the number by the numerator.
2. Divide the product you get by the denominator.
Exercise - Find the value of
a. 7/8 of 40 kg
b. 3/7 of 28 cms
c. 7/12 of an hour
d. There are 600 students in grade 4. 2/5 of them are girls
i. How many girls are there in grade 4?
ii. How many boys are there in grade 4?
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Proper and Improper Fractions –
Proper Fractions – A Fractions with the numerator less than the denominator
are called proper fractions. Eg – 2/3, 1/5, 8/12
Improper Fractions –A Fraction with the numerator greater than the
denominator is called improper fractions. Eg 4/3, 9/5, 15/11
Task 6: Identify the proper and improper fractions
Process success criteria:
1. Check the numerator.
2. If the numerator is less than the denominator they are proper fractions.
3. If the numerator is greater than or equal to the denominator they are
improper fractions.
Exercise - a. ½ b. 3/6 c. 8/2 d. 15/12 e 9/10
Task 7: To convert mixed number to improper fraction.
Process success criteria
1. Consider the given mixed.
2. Multiply the quotient and divisor and add the remainder to for the
numerator.
3. The denominator will remain the same as the mixed fraction.
4. Short cut is (q x d) + r / d.
Exercise: 1. 4 1/3 2. 5 2/3 3. 7 4/9
Task 8: To convert proper to mixed fraction.
Process success criteria
1. Divide the numerator of the improper fraction by the denominator.
2. Express the mixed fraction as Q r/d
3. Express as mixed fraction.
Exercise: 1. 17/3 2. 25/4 3. 96/5
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Task 9: To solve the word problem
Process success criteria
1. Read and understand the facts
2. Apply the correct operation.
3. Solve the sum
4. Write the answer and check.
Exercise – 1. Shilpi has 7 5/8 feet of yarn to make a bracelet. She uses only
4 1/8 yards for the bracelet. How much yarn is left over?
2. There are 14 buses parked in a street. Three-sevenths of them are painted
yellow. How many yellow buses are parked in the street?
3. Sonam studied English for 2/7 of an hour and spent 3/7 of an hour
In finishing her Math homework. What fraction of an hour did she
spent on both the subjects?
Month – December
Mental Math
Topic – Fraction/Decimal
1. The simplest form of 12/15 is____________________
2. The mixed number for the fraction 8/5 is _______________
3. 7/12 – 5/12=__________________________
4. 2/9 + 7/9 =__________________________
5. 3/5 of 25 is _________________________
6. Compare 1/8
1/5
7. The improper fraction for 4 2/9 is ________________________
8. Ann and Sue shared a cake. Ann ate 6/15 of the cake and Sue
ate 8/15.Who ate more and how much?___________________
9. Arrange in ascending order: 4/9,1/9,6/9,5/9,9/9
Sol
_____________________________________________________
10.
The place value of 5 in 72.105 is __________________________
11.
The decimal form of 19/100 is ___________________________
12.
Dhs 5.00 – dhs 3.75 fils is equal to __________________
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Points to Remember
Month – February
Handling
Theme – Seasons and festival
Topic – Data
1. Data handling is collection of information.
2. Data can be represented in form of
a. Tally marks – data is represented in form of vertical and slanting
lines.
b. Pictograph – data represented by using picture symbols.
c. Bar graph –Data is represented in form of rectangular boxes or
columns bars
 Every graph must have a title
 Information is represented along the two axes, horizontal and
vertical.
 Each axis must have labels to explain as to what information is
being represented.
 Bars are drawn to represent the desired number.
 The width of bar and the distance between them should be same.
Task 1: To represent data in the form of tally chart.
Process Success Criteria:
1. Consider two columns
2. First column contains names of items
3. Second column contains number of items
4. To arrange data in the form of tally marks use
=1,
=2,
=3,
= 4,
=5
5. Compare tally chart and answer the given questions.
Exercise: Given below are the clothes given by Sudhir to the laundry.
Represent the data in form of tally chart.
Clothes
Numbers
Sweater
Shirt
Trousers
40
Frock
Task 2: To represent given data in the form of a pictograph
Process success criteria
1. Consider two columns
2. First column contains names of items
3. Decide the title and the key to be used to represent data
4. Second column to contain symbol depicting data
5. Title at the top and key to be at the bottom of the graph
6. Compare data by observing the graph
Exercise – a. Given below is the data of festivals celebrated by the
different people of a community. Represent the data in form of
pictograph.
Diwali
Eid
Christmas
Holi
22
32
30
21
b. The table gives weekly sale of T shirt at DPS School. Represent this
data in form of pictograph.
Week 1
Week 2
Week 3
Week 4
Week 5
60
70
40
15
10
Q 1. In which week were the most T-shirt sold?
Q 2. In which week were the least T-shirt sold?
Q 3. How many more T-shirt were sold in week 3 than in 4?
Q 4. What was the total number of T-shirt sold in week 3,4, 5?
Q 5. How many more T-shirt have to be sold in week 4 to make it equal to
week 3?
Q 6. How many T-Shirt were sold in all?
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Task 3: To interpret data given in the bar graph.
Process Success Criteria:
1. Horizontal scale is the sleeping line
2. Vertical scale is the standing line
3. Each square represents 2 students
4. Read the information given on the bar graph
5. Answer the questions that follow.
Exercise – Observe the bar graph and answer the
following question –
70
60
Jupiter
50
Uranus
40
Saturn
30
Neptune
20
Mars
10
Earth
0
No of moon
Interpretation:
1. Which planet has the maximum number of moon?
2. Which planet has the least number of moon?
3. Arrange the planets in descending order of the
number of moon they have?
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Task 4 : To draw a bar graph for given data
Process Success Criteria:
1. Draw the vertical and horizontal axes.
2. The horizontal axis to contain items
3. The vertical axis to contain the number of each item
4. Mark the key on the X and Y axis.
5. Construct vertical bars for each item
6. Compare and interpret data by observing graph
7. Compare data by observing the graph
Exercise - Erin’s family is planning to visit an amusement park. They
went to ride as many roller coaster as possible. The data for the rides
is given below.
Park
Rides
Zabeel park
4
Safa park
8
Hilli fun city
20
Ferrari World
25
Global Village
23
Represent the data in a bar graph.
Q 1. Which amusement park had the maximum and minimum number
of rides?
Q 2. How many more rides must global village have so that it becomes
same as Ferrari world?
Q 3. What is the total number of rides in all the parks?
Mental Math
Month – February
Topic – Data Handling
1. Data represented in form of columns and rectangular boxes is ____________
2. Every graph must have a _____________________________________.
3. In tally marks 7 is represented as _____________________________
4.
stands for 200,
represents to __________________________
5. In pictograph we use ________________________ to represent the data.
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