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Sree Sainath Nagar , Tirupati – 517 102 Class : IX Holiday-Home work (2015-16) Subject: Mathematics F.A-1(a) Chapter : Number Systems Task : Individual work Nature of task : Post content Tool : Project Content coverage : Number systems, representation of Real numbers on the number line. Learning objectives: To check conceptual understanding of Representation of Rational and Irrational numbers on the number line. Student Worksheet Max Marks : 10M Instructions: 1.The project should be hand written. 2. Credit will be given to original and creative use of material. 3. The project must be presented in a neatly bound simple folder. Activity: Construct a square -root spiral by Representing Real numbers (√2,√3,√4,√5,…) on the number line. Materials Required : 1. Chart papers. 2. Threads 3. Drawing pins 4. Geometry Box 5. Adhesive fevicol /gum etc Criteria for Assessment : 1. Identification of the project : 1m 2. Construction Procedure adopted : 3m 3. Presentation of steps of construction : 3m 4. Result : 1m 5. Presentation of the report : 2m Teacher Principal Work sheet I. Solve the following problems 10 X 1= 10 M 1. Write one rational number between 3 and 4. 2. Justify 2.010010001…..is an irrational number. 3. Am I right if I say only 100 rational numbers can be inserted between 1 and 101? 4. Every Rational number is .. ( A) a Natural number B)a Whole number C)a Real number 5. Select irrational number from the following: A) 1. 25 B) 1.21 5 C) 1.2505005… 6. Insert 2 irrational numbers between ) D) an Integer ( ) D) 1.2 5 3 2 and . 5 4 7. Write 2 irrational numbers between 1 and 2. 8. Justify 3.010010001 is a rational number. 9. How many rational numbers can be inserted between 2 and 7? 10. 1.010010001 is an irrational number? (True/False) II. Solve the following problems 5 X 2= 10 M 11. Represent √5 on the number line. 12. Find 5 rational numbers between 13. Express the rational number 1 1 and . 8 5 1 in decimal form and hence find decimal expansion of 4 ⅓. 3 14. Express 0. 32 in the form of a rational number. 15. Classify the following as rational or irrational numbers i) 0.1 4 ii) 2.2002000200002… iii) 3.047 iv) 0. 5 III. Creative problem 1 X 5=5 M 16. Draw one Circle and draw two more circles whose areas are equal to the given circle. Note: Please solve the Work sheet In class work note book and Individual project in A4 Papers . ***** Teacher Principal