101 CSS Primary Standard “Mathematics” Lesson # 2 Procedure: Explain the concept of Line, Line Segment, to measure the length of a line, to draw straight line of given length using the ruler and divider, to draw a curved line, to draw vertical line, to know about parallel and non-parallel lines as given on pages # 86, 87, 88, 89, 90 and 91. Note for the teacher: Focus on all examples given in the book. Always solve few questions on the board by yourself. Then encourage students to solve other questions there. For notebooks work, begin by pair work and finally ending with individual work. Suppose you have an exercise consisting of 5 questions. Each question further consists of 5 parts then your strategy should be: Question No. Done by the teacher Board practice by the students Pair work Individual work Home work 1 Part i Part ii Part iii Part iv Part v Focus on the definitions and ask students to learn the definitions with understanding. Once in a week, homework can be assigned based on the definition given in the chapter / lesson / unit going on in the classroom. Exercise (6b) Q 1: Draw a line which passes through a given point and is parallel to the line given below: Activity Based Q 2: Identify parallel and non-parallel lines: i. Parallel lines ii. Parallel lines iii. Non-parallel lines iv. Non-parallel lines v. Parallel lines vi. Parallel lines Q 3: Identify the straight lines and curved lines: i. Straight line ii. Curved line iii. Straight line iv. Curved line Lesson # 3 Procedure: Explain the concept of Angle, types of angles, measurement of angles, construction of different angles, construction of angles by using different instruments as given on pages # 92, 93, 94, 95, 96, 97, 98 and 99. Note for the teacher: Focus on all examples given in the book. Always solve few questions on the board by yourself. Then encourage students to solve other questions there. For notebooks work, begin by
102 CSS Primary Standard “Mathematics” pair work and finally ending with individual work. Suppose you have an exercise consisting of 5 questions. Each question further consists of 5 parts then your strategy should be: Question No. Done by the teacher Board practice by the students Pair work Individual work Home work 1 Part i Part ii Part iii Part iv Part v Focus on the definitions and ask students to learn the definitions with understanding. Once in a week, homework can be assigned based on the definition given in the chapter / lesson / unit going on in the classroom. Exercise (6c) Q 1: Identify the right angle, acute angle and obtuse angle. i. Acute angle ii. Obtuse angle iii. Right angle iv. Acute angle v. Obtuse angle vi. Right angle Q 2: Measure the following angles with the help of protractor. Also write the type of the angles. Activity Based Q 3: Draw the following angles with the help of protractor: Activity based Lesson # 4 Procedure: Explain the concept of identification of center, radius, diameter and circumference of circle as given and explained on pages # 101 and 102. Note for the teacher: Focus on all examples given in the book. Always solve few questions on the board by yourself. Then encourage students to solve other questions there. For notebooks work, begin by pair work and finally ending with individual work. Suppose you have an exercise consisting of 5 questions. Each question further consists of 5 parts then your strategy should be: Question No. Done by the teacher Board practice by the students Pair work Individual work Home work 1 Part i Part ii Part iii Part iv Part v Focus on the definitions and ask students to learn the definitions with understanding. Once in a week, homework can be assigned based on the definition given in the chapter / lesson / unit going on in the classroom.
103 CSS Primary Standard “Mathematics” Exercise (6d) Q 1: Identify the radius, diameter, circumference and center of below circle: i. OA OB OP OQ , , , ii. Point “O” iii. AB PQ , Q 2: Measure the diameter of each circle: i. Radius = 1 cm Diameter = 2 × Radius = 2 × 1 = 2 cm ii. Radius = 1.5 cm Diameter = 2 × Radius = 2 × 1.5 = 3 cm iii. Radius = 2 cm Diameter = 2 × Radius = 2 × 2 = 4 cm iv. Radius = 2.5 cm Diameter = 2 × Radius = 2 × 2.5 = 5 cm Q 3: Draw the circles of following radii: Activity Based Lesson # 5 Procedure: Explain the concept of Quadrilateral, construction of squares and rectangles with sides of given measures using protractor, set square and straightedge / ruler as given and explained on pages # 103 and 104. Note for the teacher: Focus on all examples given in the book. Always solve few questions on the board by yourself. Then encourage students to solve other questions there. For notebooks work, begin by pair work and finally ending with individual work. Suppose you have an exercise consisting of 5 questions. Each question further consists of 5 parts then your strategy should be: Question No. Done by the teacher Board practice by the students Pair work Individual work Home work 1 Part i Part ii Part iii Part iv Part v Focus on the definitions and ask students to learn the definitions with understanding. Once in a week, homework can be assigned based on the definition given in the chapter / lesson / unit going on in the classroom. Exercise (6e) Q 1: Activity Based Q 2: Activity Based Q 3: Activity Based Review Exercise 6 Q 1: Choose the correct option from the given four options and fill the circle: i. We use protractor to measure length of line length of wall distance angle
104 CSS Primary Standard “Mathematics” ii. An angle which is less than 90o is called: acute angle obtuse angle straight angle right angle iii. An angle which is greater than 90o but less than 180o is called: acute angle obtuse angle straight angle right angle iv. An angle which is equal to 90o is called: acute angle obtuse angle straight angle right angle v. A circle is a closed curve open figure straight line polygon Q 2: Identify the following shapes: i. Curved Line ii. Line Segment iii. Angle iv. Square v. Rectangle vi. Circle Q 3: Activity based Q 4: Activity based Q 5: Activity based Q 6: Activity based Unit No. 7 Information Handling Lesson # 1 Teaching Objectives: To introduce the parts of a graph and its labels. To draw and interpret a bar graph. To draw and interpret a line graph. To draw and interpret pictograms Learning Outcomes: The students will be able to: Identify a graphical representation of data. Label all the required parts of a graph. Draw a bar graph/line/pictogram from data given. Draw conclusions from a bar/pictogram/line. Teaching Materials: CSS Primary Standard Mathematics Book 4. Writing Board. Marker. Eraser. Sample graphs from newspapers, Internet, and magazines. Background: The students worked with pictograms in the previous year. They already have some idea about the different parts of a graph and how to represent information on a graph and to draw conclusions from them. Students come across graphs in every sphere of their daily life, be it
105 CSS Primary Standard “Mathematics” in the supermarket (comparison of sales of different objects and choices of different products), in school (board results of the last few years, number of students admitted to the school in the last few years), on TV (comparison of cricket scores or run rates), in magazines, on advertisement hoardings. Start the lesson by discussing the importance of graphs and why they are necessary and more convenient than actual numerical data. Talk to them about the uses of graphs in various sectors of life. Then show them a sample graph, maybe from a newspaper about temperatures for a week, or the Internet, and explain the different parts of a graph. Procedure: Draw two perpendicular lines (axes) on the board. Label them the X-axis (horizontal) and the Y-axis (vertical). Explain that the different quantities are usually marked on the X-axis and their corresponding frequencies along the Y-axis. Show them the scale and how it is important for proper representation of the information. If there are any symbols used in the graph, there must be a key explaining the meanings of the symbols. Once you have discussed and revised the basics, give the students an interesting topic and ask them to conduct a small survey on it. A bar graph representing the above data set is given below. The length of each bar is proportional to the raw data. Show the class a template and ask them to follow it. The bars may also be draw horizontally. The same information can be plotted on a line graph. Take up several topics of interest to the students, such as comparison of runs scored by various cricketers of repute, populations of different countries; numbers of children playing different sports are good examples which can be represented by pie charts. Explain the concept of Geometrical Instruments as given on pages # 106, 107, 108 and 109. Note for the teacher: Focus on all examples given in the book. Always solve few questions on the board by yourself. Then encourage students to solve other questions there. For notebooks work, begin by pair work and finally ending with individual work. Suppose you have an exercise consisting of 5 questions. Each question further consists of 5 parts then your strategy should be: Question No. Done by the teacher Board practice by the students Pair work Individual work Home work 1 Part i Part Ii Part iii Part iv Part v Focus on the definitions and ask students to learn the definitions with understanding. Once in a week, homework can be assigned based on the definition given in the chapter / lesson / unit going on in the classroom.
106 CSS Primary Standard “Mathematics” Exercise 7 Q 1: Draw a bar graph and line graph for the following data. X 1 2 3 4 5 Y 250 100 320 400 150 Q 2: The graph shows the number of toys sold on Saturday on a toy shop. Read the graph and answer the following questions: i. How many ducks were sold? 30 ii. How many footballs were sold? 40 iii. How many bats were sold? 10 iv. How many more footballs were sold than cars? 20 v. How many more ducks were sold than bats? 20 vi. How many toys were sold altogether? 150 vii. How many cars were sold? 20
107 CSS Primary Standard “Mathematics” Q 3: Samiya, Anees, Ali, Wahab went to the library and grabbed books of their interest. The data shows the number of pages read by each of them. Draw a bar graph and line graph to represents the data and answer the following questions: Student’s Name Samiya Anees Ali Wahab Pages record by them 35 25 50 30 i. What unit of scale is used to show the number of pages? number ii. Name the person who has read less than 50 pages. Samiya, Anees, Wahab iii. How many pages Samiya, Anees, Ali and Wahab read altogether? 140 pages
108 CSS Primary Standard “Mathematics” Model Paper # 1 Instructions: Every question has four possible answers but one is the correct answer. Choose the correct answer and fill the circle. Only use black or blue pen to fill the circle. Filling more than one circle will be considered wrong answer. Section A Time Allowed: 45 Minutes (Objective Type) Total Marks: 30 Q.1: Fill the circle of correct answer. (30 Marks) 1. Count the number of digits first. If a number has ……….. number of digits than other, the number will be greater number. more less equal all of the above 2. The number from which another number is subtracted is called ………... difference minuend divisor none of the above 3. The answer of the subtraction is called ………... difference minuend divisor all of the above 4. The number which is multiplied is called ………... difference multiplicand divisor none of the above 5. The result of the multiplication is called ………... product multiplicand divisor all of the above 6. For division, we use table of ………... product multiplicand divisor none of the above 7. The numbers which have only two distinct factors are called ……….. numbers. prime composite both none of the above 8. Factors are those numbers when multiply together give another ……….. number digit alphabet none of the above
109 CSS Primary Standard “Mathematics” 9. Two numbers are called co-prime if their only common factor is ………... 1 2 3 4 10. An exact divisor of a number is called ………... number factor alphabet none of the above 11. The product of a number by the numbers 1,2,3,4,… are called ………... number digit multiples none of the above 12. The method in which we use to find out the prime factors of a number is called ………... prime factorization co-multiple common factors Ven Diagram Method 13. The number above the line says how many parts we have………... numerator denominator divisor fractions 14. The number below the line says how many parts we have………... numerator denominator divisor fractions. 15. A ……….. is a part of the whole or a collection. numerator denominator divisor fractions. 16. Fractions with same ………… are called like fractions. numerator denominator divisor fractions. 17. Fractions with different denominators are called ………. fractions. like unlike unit equal 18. Which of the following is a decimal fraction? 5/8 18/5 13 /5 2.18 19. The figure shows: 1.9 0.09 10.009 0.9 20. 2.31 + 1.05 = 4.36 4.35 3.34 3.36 21. 1 km = …………m 100 10 10,000 1000
110 CSS Primary Standard “Mathematics” 22. 2kg = ………g 200 20 20,000 2000 23. We use protractor to measure length of line length of wall distance angle 24. An angle which is less than 90o is called: acute angle obtuse angle straight angle right angle 25. An angle which is greater than 90o but less than 180o is called: acute angle obtuse angle straight angle right angle 26. An angle which is equal to 90o is called: acute angle obtuse angle straight angle right angle 27. A circle is a closed curve open figure straight line polygon 28. It is a graphical representation of data using bars of different height. Pie graph line graph Bar graph pictogram 29. There are two axis, horizontal axis and ……….. axis. Vertical Horizontal Both None of the above 30. It is a type of graph which shows information as a series of points connected by a line segment. Pie graph line graph Bar graph pictogram Section B Time Allowed: 75 Minutes (Subjective Type) Total Marks: 45 Note: Attempt all questions. All questions carry equal (3) Marks. 1. Which one is smaller 42, 568, 924 or 32, 586, 900. 2. Mr. Ali donates Rs. 326,000 to Shaukat Khanum Memorial Cancer Hospital in 2016 and Rs. 525,500 in 2017. How much total amount he donates in two years? 3. A toy factory produced 84568 toys in first two months of the year 2015. The factory produced 76184 toys in first two months of the year 2016. How many more toys did the factory produce in first two months of year 2015 than 2016?
111 CSS Primary Standard “Mathematics” 4. Ali went to a furniture store to buy some coffee tables for his coffee shop. He selected a glass table costing Rs. 4232. How much would it cost him to buy 4 such tables? 5. Samiya has 5250 baby carrots. She put the carrots in 35 boxes equally. How many baby carrots did she put in each box? 6. Three drums contain 36 liters, 48 liters and 72 liters of oil. What biggest measure can measure all the different quantities exactly? 7. Anoral has 6 oranges, 8 peaches and 20 pears. She wants to put all the fruit into baskets with each basket having the fruits. What is the greatest number of pieces of fruit Anoral can put in each basket? 8. Waqas drinks 21 /5 liters of water daily. How many liters of water will he drink in 8 days? 9. Mrs. Rizwan class is making pillow cases. Each pillow case uses ¼ of a yard fabric. How many pillow cases can they make out of 12 yards of fabric? 10. Aleem’s weight is 84.50 kg and Rehan’s weight is 90 kg. What is the difference between Aleem and Rehan’s height? 11. The length of a wall is 15m, 15cm and the length of second wall is 12m, 13cm. Find the total length of both walls. 12. Aleezay took 9 hours 55 minutes to make 3 dresses. She made one dress in 3 hours 45 minutes. How much time did she take to make other two dresses? 13. Draw the following angles with the help of protractor. a. 35o b. 90o c. 75o 14. Draw the circles of following radii. a. 40 mm b. 3 cm c. 2.5 cm 15. Samiya, Anees, Ali, Wahab went to the library and grabbed books of their interest. The data shows the number of pages read by each of them. Draw a bar graph and line graph to represents the data and answer the following questions: Student’s Name Samiya Anees Ali Wahab Pages record by them 35 25 50 30 i. What unit of scale is used to show the number of pages? ii. Name the person who has read less than 50 pages. iii. How many pages Samiya, Anees, Ali and Wahab read altogether?
112 CSS Primary Standard “Mathematics” Model Paper # 2 Instructions: Every question has four possible answers but one is the correct answer. Choose the correct answer and fill the circle. Only use black or blue pen to fill the circle. Filling more than one circle will be considered wrong answer. Section A Time Allowed: 45 Minutes (Objective Type) Total Marks: 30 Q.1: Fill the circle of correct answer. (30 Marks) 1. Ascending means from smallest to the greatest. smallest greatest equal none of the above 2. The number which is subtracted from minuend is called subtrahend. subtracted added divided none of the above 3. To find the product, we multiply the number. subtract add multiply none of the above 4. The number by which multiplicand is multiplied is called multiplier. subtracted multiplied divided none of the above 5. Always do addition and then do subtraction. subtraction addition division none of the above 6. We use DMAS rule, in case the expression involves addition, subtraction, multiplication and division. MAS MMS DMAS none of the above 7. “1” is neither a prime nor a composite number. 0 1 2 none of the above 8. Those numbers which have more than two different factors are called composite numbers. Prime Composite both none of the above
113 CSS Primary Standard “Mathematics” 9. A number which has “0” or “5” at once place, it is divisible by “5”. 0 1 2 none of the above 10. 2,3,5,7 and 11 are all prime numbers. Prime Composite both none of the above 11. Ascending means from smallest to the greatest. smallest greatest equal none of the above 12. 3l =…….ml 30 30,000 300 3000 13. 2 years =……….days 830 days 760 days 860 730 days 14. 1 day = ……….. minutes 14400 1400 144000 1440 15. 8.64 – 7.12 = 2.56 3.52 2.52 1.52 16. 5.85 x 100 = 58.5 5850 15.850 585 17. 19.82 ÷ 2 9.94 9.93 5850 9.91 18. 1 week = …… days 6 7 8 9 19. While addition, we will ………. the same units. subtract multiply add divide 20. The biggest unit of length is: mm km cm m 21. The biggest unit of mass is: mg kg lg g
114 CSS Primary Standard “Mathematics” 22. The biggest unit of capacity is: liter micro liter spoon milliliter 23. The biggest unit of time is: day hour week month 24. We measure……. in kg. length volume time mass 25. We measure ………. In seconds. length volume time mass 26. It is a part of the line which is made by joining two points together. angle line segment circle line 27. A line or surface that bend in a smooth continuous way without sharp angles is called a ……. curved line line segment circle line 28. A …… line is a line that goes from left to right or right to left. curved line line segment horizontal line vertical line 29. ………. lines are the lines that go straight up and down. curved line line segment horizontal line vertical line 30. ……….lines are the lines which extend in both directions and remain at same distance apart. parallel line non parallel lines horizontal line vertical line Section B Time Allowed: 75 Minutes (Subjective Type) Total Marks: 45 Note: Attempt all questions. All questions carry equal (3) Marks. 1. Mr. Saif is working in a company. He got Rs. 197, 253 as an annual bonus in 2016 and Rs. 210, 567 in 2017. What is the total bonus in two years? 2. The total cost of 13 mobile phones is Rs. 128, 440. What is the price of each mobile? 3. Waqas and Namra have 2450 picture cards altogether. Waqas has 250 cards. How many cards does Namra have?
115 CSS Primary Standard “Mathematics” 4. Rabia has two pieces of clothes. One piece is 72 inches wide and other piece is 90 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips? 5. Laiba, Tauseef and Nadia walked 24, 42 and 52 meters. What is the minimum distance that each of them can cover equally. 6. Humaira is putting together First Aid kits. She has 12 large bandages and 18 small bandages and she want each kit to be identical with no bandage left over. What is the greatest number of first aid kits Humaira could put together? 7. Rabia ate 1/6 of a pizza, Raheel and Arslan ate 1/3 of the pizza respectively. How much pizza did they eat altogether? 8. Ali spent 23 /8 hours to read mathematics from 41 /1 hours. How much time did he spend for other activates. 9. Alina’s height is 182.53 cm and her brother is 5.60 cm taller than her. What is the height of Alina’s brother? 10. Aleezay ran 130.60 m on Sunday, 229.50 m on Monday and 133.94 m on Tuesday. How much distance did she cover in three days? 11. Laiba covers a distance of 350.55 km in 5 hours. How much distance did she cover in one hour? 12. A tea bucket is filled with tea. Ayesha poured the tea into 7 mugs. The capacity of each mug is 725 ml. There is one liter of tea left in the bucket. What is the capacity of the bucket? 13. Draw the following angles with the help of protractor. a. 45o b. 120o c. 135o 14. Draw the circles of following radii. a. 60 mm b. 4 cm c. 3.5 cm 15. The graph shows the number of toys sold on Saturday on a toy shop. Read the graph and answer the following questions:
116 CSS Primary Standard “Mathematics” i. How many ducks were sold? ii. How many footballs were sold? iii. How many bats were sold? iv. How many more footballs were sold than cars? v. How many more ducks were sold than bats? vi. How many toys were sold altogether? vii. How many cars were sold? Model Paper # 3 Instructions: Every question has four possible answers but one is the correct answer. Choose the correct answer and fill the circle. Only use black or blue pen to fill the circle. Filling more than one circle will be considered wrong answer. Section A Time Allowed: 45 Minutes (Objective Type) Total Marks: 30 Q.1: Fill the circle of correct answer. (30 Marks) 1. Count the number of digits first. If a number has ……….. number of digits than other, the number will be greater number. more less equal all of the above 2. The number from which another number is subtracted is called ………... difference minuend divisor none of the above 3. The answer of the subtraction is called ………... difference minuend divisor all of the above 4. The number which is multiplied is called ………... difference multiplicand divisor none of the above 5. The result of the multiplication is called ………... product multiplicand divisor all of the above
117 CSS Primary Standard “Mathematics” 6. For division, we use table of ………... product multiplicand divisor none of the above 7. The numbers which have only two distinct factors are called ……….. numbers. prime composite both none of the above 8. Factors are those numbers when multiply together give another ……….. number digit alphabet none of the above 9. Two numbers are called co-prime if their only common factor is ………... 1 2 3 4 10. An exact divisor of a number is called ………... number factor alphabet none of the above 11. The product of a number by the numbers 1, 2, 3, 4,… is called ………... number digit multiples none of the above 12. The method in which we use to find out the prime factors of a number is called ………... prime factorization co-multiple common factors Venn Diagram Method 13. The number above the line says how many parts we have………... numerator denominator divisor fractions 14. The number below the line says how many parts we have………... numerator denominator divisor fractions. 15. A ……….. is a part of the whole or a collection. numerator denominator divisor fractions. 16. 5.85 x 100 = 58.5 5850 15.850 585 17. 19.82 ÷ 2 9.94 9.93 5850 9.91 18. 1 week = …… days 6 7 8 9
118 CSS Primary Standard “Mathematics” 19. While addition, we will ………. the same units. subtract multiply add divide 20. The biggest unit of length is: mm km cm m 21. The biggest unit of mass is: mg kg lg g 22. The biggest unit of capacity is: liter micro liter spoon milliliter 23. The biggest unit of time is: day hour week month 24. We measure……. in kg. length volume time mass 25. We measure ………. In seconds. length volume time mass 26. It is a part of the line which is made by joining two points together. angle line segment circle line 27. A line or surface that bend in a smooth continuous way without sharp angles is called a …………. curved line line segment circle line 28. A …… line is a line that goes from left to right or right to left. curved line line segment horizontal line vertical line 29. ………. lines are the lines that go straight up and down. curved line line segment horizontal line vertical line 30. ……….lines are the lines which extend in both directions and remain at same distance apart. parallel line non parallel lines horizontal line vertical line
119 CSS Primary Standard “Mathematics” Part B Time Allowed: 75 Minutes Total Marks: 45 Note: Attempt all questions. All questions carry equal (3) Marks. 1. Which one is smaller 42, 568, 924 or 32, 586, 900. 2. Mr. Ali donates Rs. 326,000 to Shaukat Khanum Memorial Cancer Hospital in 2016 and Rs. 525,500 in 2017. How much total amount he donates in two years? 3. A toy factory produced 84568 toys in first two months of the year 2015. The factory produced 76184 toys in first two months of the year 2016. How many more toys did the factory produce in first two months of year 2015 than 2016? 4. Ali went to a furniture store to buy some coffee tables for his coffee shop. He selected a glass table costing Rs. 4232. How much would it cost him to buy 4 such tables? 5. Samiya has 5250 baby carrots. She put the carrots in 35 boxes equally. How many baby carrots did she put in each box? 6. Three drums contain 36 liters, 48 liters and 72 liters of oil. What biggest measure can measure all the different quantities exactly? 7. Anoral has 6 oranges, 8 peaches and 20 pears. She wants to put all the fruit into baskets with each basket having the fruits. What is the greatest number of pieces of fruit Anoral can put in each basket? 8. Waqas drinks 21 /5 liters of water daily. How many liters of water will he drink in 8 days? 9. Alina’s height is 182.53 cm and her brother is 5.60 cm taller than her. What is the height of Alina’s brother? 10. Aleezay ran 130.60 m on Sunday, 229.50 m on Monday and 133.94 m on Tuesday. How much distance did she cover in three days? 11. Laiba covers a distance of 350.55 km in 5 hours. How much distance did she cover in one hour? 12. A tea bucket is filled with tea. Ayesha poured the tea into 7 mugs. The capacity of each mug is 725 ml. There is one liter of tea left in the bucket. What is the capacity of the bucket? 13. Draw the following angles with the help of protractor. a. 45o b. 120o c. 135o
120 CSS Primary Standard “Mathematics” 14. Draw the circles of following radii. a. 60 mm b. 4 cm c. 3.5 cm 15. The graph shows the number of toys sold on Saturday on a toy shop. Read the graph and answer the following questions: i. How many ducks were sold? ii. How many footballs were sold? iii. How many bats were sold? iv. How many more footballs were sold than cars? v. How many more ducks were sold than bats? vi. How many toys were sold altogether? vii. How many cars were sold?