Class 6 Maths Subject Enrichment Activities with Sample Images | Ganita Prakash NEP 2020 Worksheets

Class 6 Maths Subject Enrichment Activities (Ganita Prakash NEP 2020)

Subject Enrichment Activity – 1

Topic: Lines and Angles

Activity Name: Make Your Own Protractor

Reference: Page 37

Aim:

To understand measurement of angles by constructing a handmade protractor.

Materials Required:

Chart paper, compass, ruler, pencil, protractor (for marking), scissors, sketch pens.

Procedure:

1. Draw a semicircle using a compass on chart paper.

2. Mark the centre and draw a baseline (diameter).

3. Using a standard protractor, mark angles at intervals (10°, 15°, or 22.5°).

4. Label angles clearly from 0° to 180°.

5. Cut and paste neatly in notebook.

6. 🧠 Competency (NEP 2020 – Mathematics)

   • M6G1: Measures and draws angles using appropriate tools.

   • M6PS1: Applies mathematical tools in real-life contexts.

   🧰 Materials Required

   Chart paper, compass, ruler, pencil, scissors, sketch pens.

   ✏ Procedure

   1. Draw a semicircle using compass.

   2. Mark centre O.

   3. Draw diameter line AB.

   4. Mark angles at every 10°.

   5. Label 0° to 180°.

   📊 Sample Data

   Mark and measure:

   • 45° (Acute angle)

   • 90° (Right angle)

   • 120° (Obtuse angle)

   👀 Observation

   • All angles lie within 180°.

   • 90° divides semicircle equally.

• The semicircle measures 180°.

• Angles increase from 0° to 180° in equal intervals.

• Right angle is 90° at the centre.

• 🖊 Hand-Drawn Style Diagram

          90°
       60°   120°
    30°           150°
  0°------------------180°
  

  Conclusion:

A protractor helps in measuring and constructing different types of angles.

Learning Outcome:

Students can measure and draw angles accurately.

Reflection:

I understood how angle measurement works and how degrees are marked systematically.

---

Subject Enrichment Activity – 2

Topic: Lines and Angles

Activity Name: Make a Paper Bunny

Reference: Page 43

Aim:

To identify angles and shapes formed through paper folding.

Materials Required:

Colored paper, scissors, glue, sketch pen.

Procedure:

1. Fold square paper diagonally to form a triangle.

2. Fold corners appropriately to create bunny ears.

3. Observe angles formed at each fold.

4. Draw eyes and nose. Paste in notebook.

🧠 Competency

• M6G2: Identifies different types of angles.

• M6A1: Recognises symmetry in shapes.

📊 Sample Angle Observation

• Ear angle ≈ 40° (Acute)

• Face corner ≈ 90° (Right)

✏ Hand-Drawn Diagram

   /\  /\
  /  \/  \
  \        /
   \______/

 👀Observation:

• Acute, right and obtuse angles are formed during folding.

• Symmetry line divides bunny into two equal halves.

• Symmetry can be seen in the figure.

Conclusion:

Paper folding helps in understanding angle formation practically.

Learning Outcome:

Students identify different types of angles through craft.

Reflection:

Angles are formed naturally while folding paper.

This activity made learning angles fun and creative.

---

Subject Enrichment Activity – 3

Topic: Number Play

Activity Name: Playing with Number Pattern Puzzle

Reference: Pages 67–68

Aim:

To recognize and extend number patterns.

Materials Required:

Notebook, pencil, ruler.

Procedure:

1. Observe given number sequences.

2. Identify the rule (addition, subtraction, multiplication).

3. Complete missing numbers.

4. Create your own number pattern puzzle.

🧠 Competency

• M6N3: Identifies and extends number patterns.

• M6PS2: Develops logical reasoning.

📊 Sample Data

Pattern 1:
2, 5, 8, 11, __, __
Rule: +3
Answer: 14, 17

Pattern 2:
3, 6, 12, 24, __
Rule: ×2
Answer: 48

✏ Diagram

2  →  5  →  8  →  11  →  14  →  17

       +3     +3     +3     +3

2 → 5 → 8 → 11 → 14
(+3 each time)

Observation:

• Patterns follow a specific rule.

• Some patterns increase, others decrease.

Conclusion:

Number patterns help develop logical reasoning.

Learning Outcome:

Students can identify and create numerical patterns.

Reflection:

I learned how patterns are formed using simple operations.

Patterns follow simple mathematical rules.

---

Subject Enrichment Activity – 4

Topic: Data Handling and Presentation

Activity Name: Letter Frequency Count

Reference: Page 78

Aim:

To collect and represent data in tabular form.

Materials Required:

Newspaper article, glue, notebook, pencil, ruler.

Procedure:

1. Paste a small news article.

2. Count letters ‘c’, ‘e’, ‘i’, ‘r’, ‘x’.

3. Record counts in a table.

Letter	Count
c
e
i
r
x

🧠 Competency

• M6DH1: Collects and organises data.

• M6DH2: Represents data in tabular form.

📊 Sample Data (Example Article Count)

Letter	Count
c	8
e	15
i	11
r	9
x	2

✏ Diagram (Bar Representation Example)

e  |||||||||||||||
c  ||||||||
i  |||||||||||
r  |||||||||
x  ||

Observation:

‘e’ appears most frequently.

• Some letters occur more frequently.

• Data varies with article.

Conclusion:

Data collection and tabulation help in analysis.

Learning Outcome:

Students learn frequency counting and table representation.

Reflection:

I understood how data is organized systematically and data varies depending on content

---

Subject Enrichment Activity – 5

Topic: Prime Time

Activity Name: Sieve of Eratosthenes

Reference: Page 113

Aim:

To identify prime numbers up to 100.

Materials Required:

Number chart (1–100), pencil, colors.

Procedure:

1. Write numbers 1–100.

2. Cross out 1.

3. Circle 2 and cross its multiples.

4. Continue for next uncrossed numbers.

🧠 Competency

• M6N2: Identifies prime and composite numbers.

• M6PS3: Uses systematic methods.

📊 Sample Prime Numbers (1–30)

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

✏ Hand-Drawn Grid

1  2  3  4  5
6  7  8  9 10
11 12 13 14 15

Cross multiples of 2, 3, 5.

Observation:

• Prime numbers have only two factors.

• Multiples get eliminated.

Conclusion:

Sieve method helps find primes efficiently.

Learning Outcome:

Students can distinguish prime and composite numbers.

🧾 Reflection

Prime numbers have exactly two factors.

This method made prime identification easy.

---

Subject Enrichment Activity – 6

Topic: Perimeter and Area

Activity Name: Tangram Figures

Reference: Page 139

Aim:

To form different figures using tangram pieces.

Materials Required:

Colored paper tangram set, glue.

Procedure:

1. Arrange tangram pieces to form shapes.

2. Ensure no overlaps.

3. Paste final design.

🧠 Competency

• M6G3: Constructs shapes using given pieces.

• M6M1: Understands area conservation.

📊 Example

Using same 7 pieces:

• Form square

• Form boat

• Form bird

Area remains constant.

✏ Tangram Sketch

 /\  /\  
/____\/__\
\   /\   /
 \_/  \_/

Observation:

• Same pieces form different shapes.

• Area remains constant.

Conclusion:

Tangram improves spatial understanding.

Learning Outcome:

Students understand area conservation.

🧾 Reflection

Shape changes but area stays same.

I learned shapes can change without changing area.

---

Subject Enrichment Activity – 7

Topic: Fractions

Activity Name: Equivalent Fractions

Reference: Page 164

Aim:

To understand equivalent fractions.

Materials Required:

Paper strips, colors.

Procedure:

1. Divide strip into equal parts.

2. Shade 1/2, 2/4, 4/8.

3. Compare shaded areas.

🧠 Competency

• M6F2: Recognises equivalent fractions.

📊 Example

1/2 = 2/4 = 4/8

Strip Model:

1/2  [#####-----]
2/4  [## ##-----]
4/8  [# # # #---]

Observation:

• Different fractions represent same value.

Conclusion:

Equivalent fractions have equal value.

Learning Outcome:

Students identify equivalent fractions visually.

🧾 Reflection

Multiplying numerator & denominator by same number gives equivalent fraction.

Fractions look different but can represent same quantity.

---

Subject Enrichment Activity – 8

Topic: Fractions

Activity Name: Three Fractional Units Make 1

Reference: Pages 184–185

Aim:

To find combinations of fractions adding to 1.

Materials Required:

Notebook, pencil.

Procedure:

1. Choose three different fractions.

2. Add and check if sum equals 1.
   Example: 1/2 + 1/3 + 1/6 = 1.

🧠 Competency

• M6F3: Adds fractions using LCM.

📊 Examples

1/2 + 1/3 + 1/6 = 1
LCM = 6

3/6 + 2/6 + 1/6 = 6/6 = 1

Another Example:
1/4 + 1/5 + 9/20 = 1

Observation:

• LCM helps in addition.

• Multiple combinations possible.

Conclusion:

Fractions can combine to form a whole.

Learning Outcome:

Students perform fraction addition correctly.

🧾 Reflection

Different fractional units can make one whole.

I enjoyed finding different combinations.

---

Subject Enrichment Activity – 9

Topic: Rotational Symmetry

Activity Name: Paper Windmill

Reference: Page 230

Aim:

To understand rotational symmetry.

Materials Required:

Square paper, scissors, pin, stick.

Procedure:

1. Cut diagonals partially.

2. Fold alternate corners to centre.

3. Fix with pin.

🧠 Competency

• M6G5: Identifies order of rotational symmetry.

✏ Diagram

   \  |  /
    \ | /
----  +  ----
    / | \
   /  |  \

Observation:

• Windmill looks same after rotation.

• Order of symmetry is 4.

• Windmill matches after 90° rotation.
  Order of symmetry = 4.

Conclusion:

Objects can have rotational symmetry.

Learning Outcome:

Students identify rotational symmetry.

🧾 Reflection

Objects look same after rotation by equal angles.

Symmetry makes designs beautiful.

---

Subject Enrichment Activity – 10

Topic: Symmetry

Activity Name: Tile Art Craft

Reference: Pages 239–240

Aim:

To create symmetrical designs.

Materials Required:

Graph paper, colors.

Procedure:

1. Draw square grid.

2. Create repeating pattern.

3. Color symmetrically.

🧠 Competency

• M6G4: Identifies line symmetry.

📊 Example

Design with 2 lines of symmetry.

✏ Sketch

 /\  /\ 
<  ><  >
 \/  \/

Observation:

• Design shows line symmetry.

• Patterns repeat.

Conclusion:

Symmetry is used in art and architecture.

Learning Outcome:

Students apply symmetry in design.

🧾 Reflection

Symmetry brings balance in designs.

Mathematics connects with art.

---

Subject Enrichment Activity – 11

Topic: Symmetry Strategy Game

Activity Name: 6×6 Grid Line Game

Reference: Page 241

Aim:

To develop logical thinking and strategy.

Materials Required:

Graph paper, pencil.

Procedure:

1. Draw 6×6 grid.

2. Players draw horizontal/vertical lines covering 2 squares.

3. No overlapping allowed.

4. Player unable to draw loses.

🧠 Competency

• M6PS4: Develops strategic reasoning.

📊 Strategy Example

• Control center first.

• Mirror opponent’s move symmetrically.

✏ 6×6 Grid

□ □ □ □ □ □
□ □ □ □ □ □
□ □ □ □ □ □
□ □ □ □ □ □
□ □ □ □ □ □
□ □ □ □ □ □

Observation:

• Symmetry strategy helps win.

• Center control is important.

Conclusion:

Mathematical games improve reasoning.

Learning Outcome:

Students develop strategic planning skills.

🧾 Reflection

Planning ahead improves winning chances.

I learned planning ahead is important.

---

Subject Enrichment Activity – 12

Topic: Integers – The Other Side of Zero

Activity Name: Integer Snake and Ladders

Reference: Page 271

Aim:

To understand positive and negative integers.

Materials Required:

Integer board (-50 to +50), dice, pawns.

Procedure:

1. Start at 0.

2. Move according to dice value (+ or –).

3. Reach +50 or –50 to win.

🧠 Competency

• M6I1: Understands positive and negative integers.

• M6I2: Performs addition on number line.

📊 Sample Moves

Start at 0
Dice = –4 → Position = –4
Ladder +6 → Position = +2
Snake –3 → Position = –1

✏ Number Line

-5 -4 -3 -2 -1 0 1 2 3 4 5

Observation:

• Movement left shows negative integers.

• Movement right shows positive integers.

Conclusion:

Integers exist on both sides of zero.

Learning Outcome:

Students understand integer operations.

🧾 Reflection

Integers exist on both sides of zero.

The game helped me visualize integers clearly.