Pages 31-60

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

CHAPTER-3Pair of Linear Equations

in Two Variables

Learning Objectives

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Task-1: Forming a pair of linear equations in two variables

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

Some Suggested Example Cards

Card 1

Leela tells her daughter “seven years ago, I was seven times as oldwere you then. Also, three years from now, I shall be three times asold as you will be”

Card 2

The sum of the digits of a two digit number is 9. Also, nine times thisnumber is twice the number obtained by reversing the order of thedigits. Find the number.

Hint: If a two digit number is xy then how do you express it?

Recall, 26 = 2 × 10 + 6 × 1

34 = 3 × 10 + 4 × 1

43 = 4 × 10 + 3 × 1

Card 3

The cost of 2kg of apples & 1kg of grapes on a day was found to beRs.160.After a month; cost of 4kg of apples & 2kg of grapes is Rs.300.Represent this situation algebraically.

Card 4

The coach of a cricket team buys 3 bats & 6 balls for Rs.3900.Later,she buys 1 bat & 2 more balls of the same kind for Rs.1300.Representthis situation algebraically.

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Task-2: Graphical method of solving a pair of linear equations in twovariables

Solve graphically:

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

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Task-3: Math Lab – Graphical method of solving a pair of linear equationsin two variables

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Activity Task 1

Aim

Material Required

Procedure

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Set ofequations

Type ofgraph

Type ofsolution

Conclusiona1/a2 b1/b2 c1/c2

2 - = 8

8 + 3 = -24

x y

x y

x y

x y

+ 2 = 3

4 + 3 = 2

After doing activity task 1 answer the following questions:

Q1.

Q2.

Q3.

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

Q4.

Q5.

Q6.

Q7.

Q8.

Activity task 2

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Observation Table :

Set ofequations

Type ofgraph

Type ofsolution

Conclusiona1/a2 b1/b2 c1/c2

3 - = 2

9 - 3 = 6

x y

x y

2x y

x y

+ 3 = 9

4 + 6 = 18

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

After doing activity task 2 answer the following questions:

Q1.

Q2.

Q3.

Q4.

Q5.

Q6.

Q7.

Q8.

Activity Task 3

Aim

Material Required

Procedure

Step 1 :

Step 2 :

Step 3 :

Step 4 :

Step 5 :

Step 6 :

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

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(I) (II)

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Answer the following questions:

(III) (IV)

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

What is the area of shaded region in each of the following graphs?(III) (IV)

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Task-5: Elimination Method (Remedial Task)

Task Elimination method

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

2.

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

4.

5.

6. given

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

2x + 7 ( / ) = 12

2x + ( / ) = 12

2x = 12- ( / )

2 x = ( - ) /

x = /

= /

Ans x = / , y= /

L.H.S = 5x + 2y

= (370 /31) + (64/31)

Solve 2x +7y = 12

5x +2y = 14

Solution

We have 2x + 7y =12 ----(1)

5x + 2y = 14 ----(2)

First of all we will make the coefficients of either x same in both the given equation

Here, we multiple equation (1) by 5 and equation (2) by 2.

We get,

+ = (---- 3)

+ = ----(4)

- - - subtracting (4) from (3)___________

y =

y = / ----(5)

Now, put (5) in (1) to get the value for x.

x same in both the given equation

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

8.

9.

+ = − =− − − −

10.

+ −= =

11.

12.

Task-7: MCQ Worksheet

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

MCQ Worksheet

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2.

3. =+

4.

5.

6.

7. + = − = −

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

8.

9.

10. + = = +

11.

12. =−

13.

14. + =

− −

15.

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Task-7: Remedial Worksheet

1.

≠

= =

= ≠

Q.

Sol. = ≠

= ≠

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Pair of Linear Equations in Two Variables

Q.

Sol. ≠

≠

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Pair of Linear Equations in Two Variables Formative Assessment Manual for Teachers

Q.

Sol. = =

= ≠

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Formative Assessment Manual for Teachers Quadratic Equations

CHAPTER-4Quadratic Equations

Learning Objectives :

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Task-1: Forming a quadratic equation

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Formative Assessment Manual for Teachers Real Numbers

CHAPTER-1Real Numbers

Learning Objectives

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Suggested Formative Assessment tasks

Task-1: Crossword Puzzle Worksheet

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Quadratic Equations Formative Assessment Manual for Teachers

Task:

Task-2: Am I a quadratic equation?

Worksheet-1

Q.1.