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, Fraction of uncolored stars =4/7

Numerator (Number of parts taken)2. Fraction = -------------------

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 whole number and proper fraction then it is called mixed fractions. Eg – 1 ¾

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Task 2 – to identify proper, improper and mixed fractionsProcess 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 fractions3. 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

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Task 1: Represent the given fraction on the number lineProcess 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 3: To identify the like and unlike fractionsProcess success criteria:

1. Check the denominators2. 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 fractionsProcess success criteria

1. Compare the numerators2. The fraction with greater numerator is the greater fraction.

Exercise – 1) 4/15 _________ 11/15 2) 23/45 _______ 26/453) 93/100_______99/100 4) 97/115 ___________67/115

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Task 7: To arrange the fractional numbers in ascending or descending order Process success criteria

1. Observe the numerator2. 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 greater4. 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

Task 5 - To compare fraction with same numeratorProcess Success Criteria Compare the numeratorsIf the numerator are same, compare the denominatorsThe fraction with smaller denominator with be greaterExercise – 17/35 ____________17/1933/90 ___________33/135900 + 10+ 1/1000 ____________91/2000

Task 6 – To compare unlike fraction using cross multiplicationProcess Success Criteria 1.N1/D1 Box is there N2/D22. Multiply N1 by D2 and N2 by D13. Now compare the productExercise a. 4/7 _______7/8 b.6/20 ______3/10 c. 4/12 ________8/15

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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 denominator3. 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+ 9/202. 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 kgb. 3/7 of 28 cmsc. 7/12 of an hourd. There are 600 students in grade 4. 2/5 of them are girlsi. 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, 8/12Improper 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 fractionsProcess 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/d3. Express as mixed fraction.

Exercise: 1. 17/3 2. 25/4 3. 96/5

Mental MathMonth – December 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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Task 9: To solve the word problemProcess success criteria

1. Read and understand the facts2. Apply the correct operation.3. Solve the sum4. 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?

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Points to Remember

Month – February Theme – Seasons and festival Topic – Data Handling

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 columns2. First column contains names of items3. 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

Frock

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Task 2: To represent given data in the form of a pictographProcess success criteria 1. Consider two columns2. First column contains names of items3. Decide the title and the key to be used to represent data 4. Second column to contain symbol depicting data5. Title at the top and key to be at the bottom of the graph6. 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 560 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 line2. Vertical scale is the standing line3. Each square represents 2 students 4. Read the information given on the bar graph5. Answer the questions that follow.

Exercise – Observe the bar graph and answer the following question –

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?

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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Task 4 : To draw a bar graph for given dataProcess Success Criteria:

1. Draw the vertical and horizontal axes. 2. The horizontal axis to contain items3. The vertical axis to contain the number of each item4. Mark the key on the X and Y axis.5. Construct vertical bars for each item6. Compare and interpret data by observing graph7. 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 4Safa park 8Hilli fun city 20Ferrari World 25Global Village 23Represent 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?

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