Monday, April 14, 2025

class 8 NCERT bridge course Answers Activity W2.1: Let us Brainstorm

 Activities for Week 2 

Activity W2.1: Let us Brainstorm

 Students may be given these puzzles to solve. 

They may do it individually or in pairs. 

They may be asked to justify their answers. 

A. Determine the missing value in the puzzle below


☆❒☆❒☆❒☆❒ = 16

☆❒☆❒☆❒☆ = 13

☆❒☆❒ = 8

☆☆☆❒❒❒ = ?


SOLUTION
Let:

  • ☆ = x


  • ❒= y

4 stars + 4 squares = 16
4x + 4y = 16
Divide both sides by 4:
x + y = 4(Equation 1)

4 stars + 3 squares = 13
4x + 3y = 13 — (Equation 2)

Subtract Equation 1 from Equation 2:
(4x + 3y) - (4x + 4y) = 13 - 16
4x + 3y - 4x - 4y = -3
Simplifies to:
-y = -3
So:
y = 3 (Square = 3)
Substitute into Equation 1:
x + 3 = 4
So:
x = 1 (Star = 1)
 Now solve the last expression:
☆ + ☆ + ☆ + ❒ + ❒ + ❒
= 3x + 3y
= 3(1) + 3(3)
= 3 + 9 = 12


FINAL ANSWER 

☆☆☆❒❒❒ = 12





















a) x² - 1 - ( x² + 1) 

= 6² - 1 - (5² +1)

= 36 - 1 - (25 +1)

= 35 - 26
= 9


b) x² - 1 + ( x² + 1) 

= 8² - 1 + (5² +1)

= 64 - 1 + (25 +1)

= 63 + 26
= 89









class 8 NCERT bridge course Answers Activity 1W1.5: Pattern Observation

 Activity W1.5: Pattern Observation 

In this activity, students explore, identify and generalise patterns using physical movements. 

They, then, connect it to number patterns. 

Step 1: Students may be asked to perform a simple body movement sequence without explaining the pattern. 

πŸ’‘ Example 1: Clap, Clap, Clap, Clap...

Q1: What do you notice about the movement?
ANSWER

 The same action (clap) is repeated again and again without changing. It’s a simple, repeating pattern.

Q2: Can you predict what comes next? Why?
ANSWER

The next movement will be a clap — the pattern never changes, so it will always be a clap.


Q3: If I stop at the 7th movement, what should the 8th movement be?
ANSWER

The 8th movement will also be a clap, because the same action is repeated.

 Step 2: Change the movements to 

πŸ’‘ Example 2: Clap, Clap, Jump, Clap, Clap, Jump...

Possible questions could be— 

Q1: How is this different from movements in Example 1?

ANSWER
 In this pattern, there are two claps followed by a jump, so the actions change. It’s not just repeating the same movement like in Example 1.

Q2: Can you describe the rule?
ANSWER

 The rule is: After every two claps, there is one jump. The pattern repeats this sequence: Clap, Clap, Jump.

Q3: If the first jump is at 3, the second jump is at 6; then at what number do we get the third jump?
ANSWER

The jumps happen every 3rd move. So the third jump will be at 9.

 Many such different body movements can be thought of 

Questions followed by discussions should be done. 

Step 3: Connecting to numbers 

πŸ’‘ Example 3: Clap, clap clap, clap clap clap, clap clap clap, clap, … 

We may write the corresponding sequence of numbers as 1, 2, 3, 4 … 

Q: What sequence of numbers can we assign to Example 2?

ANSWER 

If Clap = 1, 2 and Jump = 0, the number sequence is: 1, 2, 0, 1, 2, 0, 1, 2, 0...

 Students may be given a number sequence, such as 1, 3, 5, 7,… and may be asked to assign corresponding body movements that justify this pattern. 

We may ask students to assign their own numbers and create a sequence of numbers.

 This is an odd number sequence. Students could choose a movement like:

  • Jump for odd numbers (1, 3, 5, 7…)

  • Clap for even numbers (if extended to 2, 4, 6, 8...)
    In this case, the pattern only shows odd numbers, so maybe only jumping is used.

 Step 4: Students may think of many such movements and their corresponding number patterns. 

Examples of Movements and Corresponding Number Patterns

Example 1:

Movement Pattern:
Tap, Tap, Snap, Tap, Tap, Snap...

Number Pattern:
1, 2, 0, 1, 2, 0, 1, 2, 0, ...

Explanation:

  • Tap is represented by 1, 2.

  • Snap is represented by 0.

  • The pattern repeats every 3 moves.

Example 2:

Movement Pattern:
Jump, Clap, Jump, Clap, Jump, Clap...

Number Pattern:
0, 1, 0, 1, 0, 1, ...

Explanation:

  • Jump = 0

  • Clap = 1

  • Alternates between the two actions.

Example 3:

Movement Pattern:
Clap, Jump, Spin, Clap, Jump, Spin...

Number Pattern:
1, 2, 3, 1, 2, 3, ...

Explanation:

  • Clap = 1

  • Jump = 2

  • Spin = 3

  • Repeats every 3 steps.

Example 4:

Movement Pattern:
Step forward, Step backward, Step forward, Step backward...

Number Pattern:
1, -1, 1, -1, 1, -1, ...

Explanation:

  • Step forward = 1

  • Step backward = -1

  • Alternates like a simple plus-minus pattern.

Example 5:

Movement Pattern:
Clap, Clap, Jump, Jump, Clap, Clap, Jump, Jump...

Number Pattern:
1, 1, 0, 0, 1, 1, 0, 0, ...

Explanation:

  • Clap = 1

  • Jump = 0

  • Two claps, two jumps, repeating.

Example 6:

Movement Pattern:
Touch head, Touch shoulders, Touch knees, Touch toes...

Number Pattern:
1, 2, 3, 4, 1, 2, 3, 4, ...

Explanation:

  • Each action is numbered from 1 to 4 in a cycle.

  • Helps connect actions with counting sequences.

Students to invent their own movement patterns like:
πŸ‘‰ spin, stomp, wave
πŸ‘‰ blink, clap, nod
and match them to any number sequence want!

Reflections on the Activity

 Discussion may be held on questions, such as: 

Q: How do patterns help us make predictions?

ANSWER:

Patterns show regularity and repetition, so once we recognize the rule, we can guess what comes next without seeing the full sequence.

Q: Where do we see patterns like this in real life?


ANSWER:

 Patterns are everywhere!

  • Days of the week (Monday, Tuesday...)

  • Traffic lights (Red, Yellow, Green)

  • Music beats and dance steps

  • Shapes in tiles or floor designs

  • Plant growth (leaf arrangement)

  • Numbers like even/odd, multiplication tables.


Participation of Special Children- ADAPTATION 

 Instead of requiring physical movement (for example, clapping, jumping), allow students with mobility disabilities to use gestures, verbal cues, or assistive devices.

 Provide alternative options, such as— 

  • Hand tapping or finger snapping instead of clapping. 
  • Nodding, blinking, or pointing instead of jumping.
  •  Using small objects (counters, flashcards, or digital tools) to represent movements. 
  • Pair students with physical disabilities with a peer buddy who can perform the movements on their behalf while they identify, predict, and describe the pattern

class 8 NCERT bridge course Answers Activity 1W1.4: Recreational Puzzles

 Activity W1.4: Recreational Puzzle

Bridge Programme for Grade 8


 Students may be asked to play this game either individually or in pairs. 





1. Locate the following mathematical terms in the above grid. 

2. Encircle them in the grid. 

3. These could be found vertically, horizontally or diagonally. 

4. Time may be allotted for doing this. 

5. Marks may be decided accordingly. 




Words are: 

Circle, 

Octagon,

 Square, 

Parallelogram, 

Star, 

Hexagon, 

 Quadrilateral, 

Triangle, 

Kite and 

Rectangle.



class 8 NCERT bridge course Answers Activity 1W1.3: Recreational Puzzles

 Activity W1.3: Recreational Puzzles 



Students may be asked to play this game either individually or in pairs. 

They may be motivated to disclose their strategy before the class. 







Fill in the missing numbers

 1. The missing values are the whole numbers between 1 and 9. 

2. Each number is used only once.

3. Each row is an arithmetic equation. 

4. Each column is an arithmetic equation. 

5. Remember that multiplication and division are performed before addition and subtraction


Solve the 2nd Column

The equation is:  − A +3=2    

-A = 2-7

A = 5

Automatically the 2nd Row solved 

2 x 5 + 8 = 18

Solve the 1st column

A + 2 + B = 15

Solve the 3rd column

C + 8 - D = 0
C - D = -8

The numbers C and D must differ by -8. Possible pairs (from 1-9 without repeats):



  •  (from 1-9 without repeats so not possible)

  • A=0,C=8   (from 1-9 without repeats so not possible)

  • So only possible answer is C=1,D=9

Solve the 1st Row

A - 4 - C = 1
A - C = 1 +4
A - C = 5

The numbers A and C must differ by 5. Possible pairs (from 1-9 without repeats):


  • A = 6, B = 1

Solve the 3rd Row

B - 3 X D = -20
D = 9
B - 3 x 9 = - 20
B - 27 = -20
B = -20 + 27
B = 7







Solution for the puzzle







WORKSHEET ch1 class 6

WORKSHEET - Number pattern 1)  1,3,5,7, ________, ___________,  _______ Rule- ________________ 2)  2,4,6,8,________, ___________,  _______ R...