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1 CHAPTER-1 Real Numbers Learning Objectives 7R UHYLVLW 1XPEHU 6\VWHPV IURP 1DWXUDOV WR 5HDO 1XPEHUV 7R OHDUQ (XFOLGV 'LYLVLRQ /HPPD 7R XQGHUVWDQG DSSO\ (XFOLGV 'LYLVLRQ DOJRULWKP IRU ILQGLQJ +&) RI WZR QXPEHUV 7R XQGHUVWDQG )XQGDPHQWDO WKHRUHP RI $ULWKPHWLF 7R ILQG +&) /&0 XVLQJ SULPH IDFWRUL]DWLRQ 7R SURYH HWF DV LUUDWLRQDO QXPEHUV 7R UHYLVLW GHFLPDO H[SDQVLRQ RI UHDO QXPEHUV 7R ILQG WKH FRQGLWLRQ RQ UDWLRQDO QXPEHUV WR KDYH WHUPLQDWLQJ GHFLPDO H[SDQVLRQ Suggested Formative Assessment tasks Task-1: Crossword Puzzle Worksheet 7RSLF 5HDO 1XPEHUV &RQWHQW &RYHUDJH :KROH &KDSWHU /HDUQLQJ 2EMHFWLYHV 7R WHVW WKH EDVLF FRQFHSWV UHODWHG WR WKH FKDSWHU 7DVN &URVVZRUG 3X]]OH ([HFXWLRQ RI WDVN 7KLV WDVN PD\ EH SHUIRUPHG LQ WKH FODVVURRP 6WXGHQWV FDQ EH JLYHQ WKH SKRWRFRS\ RI WKH ZRUNVKHHW 'XUDWLRQ PLQXWHV &ULWHULD IRU DVVHVVPHQW 7LPH LQYROYHG LQ VROYLQJ WKH ZRUNVKHHW 5DWLQJ VFDOH IRU WKH ZRUNVKHHW )ROORZ XS 3UDFWLFH ZRUNVKHHWV

Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

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Page 1: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

Page 2: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

2

Real Numbers Formative Assessment Manual for Teachers

Crossword Puzzle Sheet1 2

3

4 5

6

7 8

9

10

Across

Down

Rating Scale Student Knows Yes No

Page 3: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

3

Formative Assessment Manual for Teachers Real Numbers

Rounds Euclid Thales Ramanujan Aryabhatt

Framing

1. Rapid

Fire

2. Buzzer

Round

3. Question

Total

Task-2: Quiz/Oral Assessment

Page 4: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

4

Real Numbers Formative Assessment Manual for Teachers

Suggested Rounds & questions for the quiz

Rapid Fire Round :

Buzzer Round :

Framing Question Round :

Page 5: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

5

Formative Assessment Manual for Teachers Real Numbers

Multiple Choice Questions

1. − −

2. ×

3. ×

4.

Task-3: MCQ

Page 6: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

6

Real Numbers Formative Assessment Manual for Teachers

5.

6.

7.

8.

9. ≠

10. ≠

11.

12.

Page 7: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

Page 8: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

8

Real Numbers Formative Assessment Manual for Teachers

Task-5: Remedial Worksheet

Page 9: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

Page 10: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

Page 11: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

11

Formative Assessment Manual for Teachers Real Numbers

Step 2.

Step 3. ∴

Step 4.

Step 5.

∴ ∴

10.

Step 1.

Step 2.

Page 12: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

12

Real Numbers Formative Assessment Manual for Teachers

Step 3. ∈

Step 4.

Step 5.

11. Develop the proof of 5 is irrational

Step1.

Step2.

Step3.

Step4.

Step5.

12. Remember : =

××

=

Page 13: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

13

Formative Assessment Manual for Teachers Real Numbers

=

Page 14: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

14

Real Numbers Formative Assessment Manual for Teachers

( = ≠

) 4 8 4 8

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

4 8 4 8

Page 15: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

15

Formative Assessment Manual for Teachers Real Numbers

Task-6: Project Work

Suggestive Projects:

Math Vs Computers

Page 16: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

16

Real Numbers Formative Assessment Manual for Teachers

Using Art with Math - The Math Journal

Page 17: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

17

Formative Assessment Manual for Teachers Real Numbers

Page 18: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

18

Real Numbers Formative Assessment Manual for Teachers

Page 19: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

19

Formative Assessment Manual for Teachers Polynomials

CHAPTER-2Polynomials

Learning Objectives

Suggested Formative Assessment Tasks

Task-1: Think and tell

Page 20: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

20

Polynomials Formative Assessment Manual for Teachers

Warm up task :

1.

2.

3.

4.

− −

×

Page 21: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

21

Formative Assessment Manual for Teachers Polynomials

Task-2: Explore the graphs

Page 22: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

22

Polynomials Formative Assessment Manual for Teachers

S.No. Graph of y = f(x) Number of Zeroes Zeroes1. Graph of a

linearpolynomial

2. Graph of aquadraticpolynomial

Page 23: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

23

Formative Assessment Manual for Teachers Polynomials

3. Graph of aquadraticpolynomial

4. Graph of aquadraticpolynomial

5. Graph of acubicpolynomial

Page 24: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

24

Polynomials Formative Assessment Manual for Teachers

Task-3: Zeroes and Coefficients

Quadratic Polynomial Factorisation by Zeroes Verficationsplitting themiddle term

Page 25: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

25

Formative Assessment Manual for Teachers Polynomials

Quadratic Polynomial Factorisation by Zeroes Verficationsplitting themiddle term

Task-4: MCQ

Multiple Choice Question

1.

2. k

below is :y

xox´ ><

^

^

Page 26: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

26

Polynomials Formative Assessment Manual for Teachers

3.

4.

5.

6.

7.

8. α

α α α α

9.

+

10.

11.

12.

x2 + 3x + 2 x2 – 3x + 2

x3

,

Page 27: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

27

Formative Assessment Manual for Teachers Polynomials

Task-5: Home assignment

Home Assignments

1.

+ +

2.

3.

4.

5.

6.

7. +

8.

9. + − + =

10.

Page 28: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

28

Polynomials Formative Assessment Manual for Teachers

Facts Sheet

1.

2.

3.

4.

5. a b a bab

6.

1.

of

Carefully read points 1 and 2. Do questions given in point 3.

Page 29: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

29

Formative Assessment Manual for Teachers Polynomials

2.

3.

No. of Zeroes Zeroes

Page 30: Suggested Formative Assessment tasks Formative …1. rapid fire 2. buzzer round 3. question total task-2: quiz/oral assessment 7rslf5hdo 1xpehuv 1dwxuh ri wdvn3rvw &rqwhqw &rqwhqw

1

Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

30

Polynomials Formative Assessment Manual for Teachers

No. of Zeroes Zeroes

4.

Q.