Mathematics: Class 1 — Chapter 8: Fun with Numbers

8.1 Introduction to Grouping and Counting (Numbers 21 to 30)

In this section, we learn how to count larger numbers by grouping objects into tens. Grouping makes counting easier and helps us understand the base-10 number system.

Grouping in Tens

When counting a large number of items, we can group them into sets of $10$:

  • Each box or group holds exactly 10 items (one ten).
  • Loose items represent ones.
  • For example, $2$ boxes of $10$ oranges and $1$ loose orange make $20 + 1 = 21$ (Twenty One).
  • $2$ boxes of $10$ oranges and $2$ loose oranges make $20 + 2 = 22$ (Twenty Two).

Tens Frames Representation

A tens frame is a grid of $10$ spaces ($2 \times 5$) used to visualize numbers:

  • Two fully filled tens frames represent $20$.
  • An additional partially filled frame represents the ones place.
  • Example: Two full frames and $3$ dots in the third frame represent $23$ (Twenty Three).

Writing Numbers 21 to 30

Practice writing and recognizing numbers from $21$ to $30$:

  • $21$ - Twenty One
  • $22$ - Twenty Two
  • $23$ - Twenty Three
  • $24$ - Twenty Four
  • $25$ - Twenty Five
  • $26$ - Twenty Six
  • $27$ - Twenty Seven
  • $28$ - Twenty Eight
  • $29$ - Twenty Nine
  • $30$ - Thirty ($3$ tens and $0$ ones)
8.2 Numbers 31 to 50

We extend our counting up to $50$ using garlands of flowers (each containing $10$ flowers) and bundles of neem sticks (each containing $10$ sticks).

Counting with Garlands and Bundles

  • Garlands of Flowers: $3$ garlands of $10$ flowers and $1$ loose flower make $31$ (Thirty One).
  • Bundles of Sticks: $4$ bundles of $10$ sticks and $1$ loose stick make $41$ (Forty One).

Using a Ginladi

A ginladi is a string of beads grouped in tens (often alternating colors) used to identify and place numbers from $1$ to $50$ (and up to $99$).

  • It helps in understanding the relative position of numbers.
  • It is useful for counting backwards and forwards.
8.3 Numbers 51 to 100

Counting up to $100$ using bundles of $10$ sticks and individual loose sticks.

Numbers 51 to 60

  • $5$ bundles of $10$ and $1$ loose stick = $51$ (Fifty One)
  • $5$ bundles of $10$ and $5$ loose sticks = $55$ (Fifty Five)
  • $6$ bundles of $10$ = $60$ (Sixty)

Numbers 61 to 80

  • $6$ bundles and $1$ loose stick = $61$ (Sixty One)
  • $7$ bundles of $10$ = $70$ (Seventy)
  • $7$ bundles and $1$ loose stick = $71$ (Seventy One)
  • $8$ bundles of $10$ = $80$ (Eighty)

Numbers 81 to 100

  • $8$ bundles and $1$ loose stick = $81$ (Eighty One)
  • $9$ bundles of $10$ = $90$ (Ninety)
  • $9$ bundles and $9$ loose sticks = $99$ (Ninety Nine)
  • $10$ bundles of $10$ = $100$ (One Hundred)
8.4 Play and Practice Activities

Interactive games and exercises to reinforce number recognition and counting skills.

Slide and Ladder Game

A grid-based board game from $1$ to $100$ where players fill in missing numbers to complete the path. This game helps practice number sequencing and order.

Project Work

Matchbox Estimation: Collect small items (like seeds, beads, or matchsticks) and estimate how many items a single matchbox can hold. Count them to verify your estimation.

8.5 Art Integration: Warli Painting

Explore mathematics through traditional Indian art.

What is Warli Painting?

Warli painting is a beautiful folk art style from Maharashtra, India, that uses simple geometric shapes like circles, triangles, and lines to represent people, animals, and daily life scenes.

  • Observe how many people, houses, and trees are drawn using basic lines and shapes.
  • Practice creating your own Warli drawings using these geometric patterns.