class 8 NCERT bridge course Answers Activity W2.3- Exploring Polygons

 Activity W2.3- Exploring Polygons 

Students may be made to explore different polygons, identify their properties, and classify them based on sides, angles, and symmetry. 

Objective:

Help students identify, classify, and understand polygons by using clues, hands-on exploration, and real-life connections.

Materials Required 

1. Pre-made polygon cutouts (triangles, quadrilaterals, pentagons, hexagons, etc.) 

2. A worksheet with clues and challenges 

3. Whiteboard and markers 

4. Straws or sticks 

How to Perform Activity 

 Warm-Up Discussion:

Show different polygon shapes and discuss sides, angles, classification and symmetry.

Ask: What do you already know about polygons?

Group Hunt:

• Hide polygon cutouts around the classroom.

• Divide students into small groups.

 Give instructions to each group with clues like: 

1. Find a shape with all 3 sides. 

2. Find a shape with 5 angles. 

3. Find a 4-sided figure with a pair of parallel side

4. Find a 4-sided figure with a pair of parallel sides. 

5. Find a 4-equal sided figure with a pair of parallel sides and 90-degree angle. 

6. Find a 4-sided figure with a pair of parallel sides and 90-degree angles. 

More such conditions can be thought of and discussed. 

 Each group searches for the correct shape and records its properties on the worksheet provided to them. 

 Each group presents one shape they found, explaining its properties. 

3. Presentation:
   Each group presents their shape, describing:

• Number of sides

• Number of angles

• Type of symmetry

• Real-world example.

ANSWER:

Clue	Expected Shape	Properties
1. Find a shape with all 3 sides.	Triangle	3 sides, 3 angles.
2. Find a shape with 5 angles.	Pentagon	5 sides, 5 angles.
3. Find a 4-sided figure with one pair of parallel sides.	Trapezium	Quadrilateral, 1 pair parallel sides.
4. Find a 4-sided figure with two pairs of parallel sides and 90° angles.	Rectangle	4 sides, opposite sides equal, all angles 90°.
5. Find a 4-sided figure with all sides equal and 90° angles.	Square	4 equal sides, all angles 90°.
6. Find a 4-sided figure with a pair of parallel sides and 90-degree angles.	Rectangle	4 sides, opposite sides equal, all angles 90°.

Extension

 Discuss real life examples of polygons (stop signs, tiles, windows, etc.). 

ANSWER:

Extension: Real-Life Polygon Examples

• Octagon → Stop signs

• Square → Tiles, windows

• Rectangle → Books, screens

• Pentagon → House-shaped signs.

Exploratory Questions Based on the Activity 

Teachers may generate a discussion on questions that require explorations.

 Here are a few examples— 

1. Is circle a polygon? 

ANSWER:

No, because a polygon must have straight sides, and a circle has a curved boundary.

2. Can we draw a polygon with 2 straight lines? 

ANSWER:

No, the minimum number of sides for a polygon is 3 (triangle).

3. Can we consider open figure as a polygon? 

ANSWER:

No, polygons must be closed shapes.

4. Can we consider square as a rectangle? If yes, then why? 

ANSWER:

Yes! A square is a special type of rectangle where all sides are equal, and all angles are 90°.

Hands on Practice 

1. Teacher may instruct students to draw a polygon using some clues, on a white board with the help of a marker. 

2. Students may also be encouraged to construct polygons with the help of straws and sticks, and given clues.

• Use straws or sticks to create polygons based on clues.

• Students can draw and label polygons on the whiteboard when the teacher gives clues.

• Assign teams to find real-world polygon examples around the school.

some clues for reference:

1. Draw a polygon with 3 sides — (Answer: Triangle)
   
2. Draw a polygon that has 4 equal sides and 4 right angles — (Answer: Square)
   
3. Draw a polygon with 4 sides, where only the opposite sides are equal and parallel — (Answer: Rectangle)
   
4. Draw a polygon with 5 sides — (Answer: Pentagon)
   
5. Draw a polygon with 6 sides — (Answer: Hexagon)
   
6. Draw a polygon with 8 equal sides — (Answer: Octagon)
   
7. Draw a polygon where no sides are equal and no angles are equal — (Answer: Scalene Quadrilateral or Scalene Triangle)
   
8. Draw a closed shape with 7 sides — (Answer: Heptagon)
9. Draw a 4-sided figure that has only one pair of parallel sides — (Answer: Trapezium)
10. Draw a regular polygon with all sides and angles equal, and more than 4 sides — (Answers: Pentagon, Hexagon, Octagon, etc., depending on the count)
11. Draw a polygon that has 4 sides, two of which are parallel but not equal.
12. Draw a polygon with 5 sides — all sides need not be equal.
13. Draw a polygon that has 6 sides, where all angles are equal.
14. Draw a 3-sided polygon where two sides are of the same length.
15. Draw a 4-sided polygon with all sides equal and all angles equal.
16. Draw a polygon that looks like a house rooftop (Hint: it's a pentagon).
17. Draw a 4-sided polygon where no sides are parallel.
18. Draw a quadrilateral where only one pair of opposite sides is parallel.
19. Draw a polygon with the least number of sides.
20. Draw a polygon that looks like a star (students can creatively connect lines, making a complex polygon).

 

Crack the Clues, Mark the Numbers — Mathematical Tambola for Curious Minds! 

This game will make students explore their previous knowledge and will prepare to connect different concepts in Mathematics. 

🌟 Interactive Learning Fun: Mathematical Tambola for Class 8! 🎲🧠

Looking for a playful way to make numbers exciting for your students? Here’s a simple but super engaging classroom activity — Mathematical Tambola!

Instead of calling out plain numbers, this game uses clever math clues that challenge students’ problem-solving and recall skills. Whether it's calculating squares, decoding geometry facts, or brushing up on arithmetic, this activity blends fun and learning beautifully.

S.No.	Clue Description	Answer
1	The smallest two-digit prime number	11
2	Double of 22	44
3	Number of hours in 3 days	72
4	Product of 6 and 7	42
5	Quarter of 100	25
6	One less than half a century	49
7	Perimeter of a square with side 8	32
8	The only even prime number	2
9	Number of months in 5 years	60
10	5 squared	25
11	Number of sides in a hexagon	6
12	Product of 9 and 5	45
13	Smallest multiple of 15 greater than 60	75
14	Sum of angles in a quadrilateral	360
15	A dozen multiplied by 3	36

clues based on:

• Shapes (triangles, polygons)

• Simple algebra ("If x = 4, what is 2x + 3?")

• Measurement units (centimeters in a meter, minutes in an hour)

• Daily life math ("Number of legs on two spiders!")

S.No.	Clue Description	Correct Number
1	The only even prime number	2
2	The smallest square number greater than 1	4
3	Number of sides in a hexagon	6
4	Sum of two consecutive odd numbers starting from 1	4
5	3²	9
6	The number of months in a year	12
7	One-fourth of 100	25
8	Half of 130	65
9	Product of 7 and 6	42
10	A dozen multiplied by 3	36
11	Sum of angles in a triangle (in degrees)	180
12	Smallest 2-digit prime number	11
13	The result of 8 × 8	64
14	Number of legs of 5 spiders	40
15	Minutes in two hours	120
16	The difference between 100 and 37	63
17	Perimeter of a square with side length 5	20
18	Smallest three-digit number	100
19	Sum of angles in a quadrilateral (in degrees)	360
20	The square of 5	25

✨ Why kids love it:
✔️ It feels like a game, but sharpens math thinking.
✔️ Encourages teamwork and discussion.
✔️ Perfect for revision and bridging knowledge gaps.

Teachers can adjust the clues to suit the class level, and students can participate individually or in pairs. Special needs? No worries — the game can easily be adapted to be fully inclusive!

You can download the colorful Tambola poster and worksheet right from this post, and bring this joyful number game into your classroom today. 💡🎯

Happy Teaching! 📚❤️

🧡 Wrapping Up: Math Made Magical! 🎉

Learning doesn’t always have to happen with notebooks and lectures — sometimes, all it takes is a game, a clue, and a curious mind!

Mathematical Tambola is more than just a classroom activity; it’s a fun and collaborative way to strengthen math skills, boost confidence, and encourage creative thinking. Whether you're using it for warm-ups, brain breaks, or as a revision game — it’s sure to bring smiles and sharpen number sense.

✅ Perfect for:

• Math warm-up sessions

• Bridge course revisions

• Peer learning and team-building

• Making math inclusive and joyful for all learners!

And if you try this activity, I’d love to hear about your experience — feel free to share your classroom stories in the comments!

Let’s keep making math magical, one game at a time! 🌟🔢

class 8 NCERT bridge course Answers Activity W2.2: A Mathematical Tambola

 Activity W2.2: A Mathematical Tambola

Each student gets a tambola ticket with 15 numbers randomly selected from 1 to 90. 

 Instead of directly calling out numbers, the host will give a math-based clue for each number. 

For example, instead of saying 2, it may be said ‘An even prime number’. 

 Players are required to solve the clue to mark the correct number on their ticket. 

 Winning rules: 

1. Early five: first to mark any 5 numbers. 

2. Top row/middle row/bottom row: First to mark all numbers in a row. 

3. Full house: first to mark all 15 numbers. 

4. Students will mark question numbers on each strike out for later verification

Some Sample Clues 

S.No.                         Clue                                 Number 

1.                                 3²                                         9 

2. The sum of intirior angles in a triangle             180 

3.                                     Half of 130                     65 

Suggestions for the Teacher 

 You can create more such clues based on basic arithmetic, geometry, prime numbers, factors, multiples, etc. 

 Teacher can give questions in written or can announce as per convenience. 

 Teacher may change the difficulty level of the clues as per students’ comprehension level.

Instructions for Students:

• Each student will receive a Tambola ticket.

• When the teacher announces a math clue, solve it and mark the correct number on your ticket.

• Winning categories: Early Five, Top Row, Middle Row, Bottom Row, Full House. 

Sample Tambola Ticket:

                                    

12	9	65	40	33
75	7	36	15	2
42	5	90	8	50

Host's Clue Sheet:

S.No.	Clue Description	Answer
1	3 squared	9
2	Sum of interior angles in a triangle	180
3	Half of 130	65
4	Smallest even prime number	2
5	8 times 5	40
6	A dozen	12
7	Number of sides in a pentagon	5
8	7 times 6	42
9	Square root of 81	9
10	Sum of first five natural numbers	15
11	Perimeter of a square with side 10	40
12	Product of 9 and 4	36
13	Total days in a week	7
14	A century minus a quarter century	75
15	11 times 3	33

12	9	65	40	33
75	7	36	15	2
42	5	90	8	50

Reflection Questions:

1. Which type of clues did you find easiest?

2. Were there any clues you solved using a shortcut?

3. How do patterns and numbers help in everyday life?

Teacher's Note:

• Adjust the difficulty of clues based on student understanding.

• Allow discussions after each round for reinforcement.

• Special children can use a buddy system for support.

Happy Learning! 🌟🥇

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