Mathematics: Class 4 — Chapter 3: Patterns Around Us

3.1 Let Us Count

Counting objects in structured arrangements helps us find patterns and count quickly.

3.2 Patterns with Money

Arranging play money in symmetrical patterns helps in counting and understanding place value.

Representing Amounts

Using play money of denominations $1$, $2$, $5$, and $10$ to represent different amounts such as:

  • $₹36$
  • $₹125$
  • $₹183$

Grouping Coins (Two Ways)

Shirley and Shiv arrange their coins in different grouping patterns:

  • Shirley's Way: Grouping coins in odd numbers (e.g., $3$, $5$, etc.).
  • Shiv's Way: Grouping coins in even numbers (e.g., $4$, etc.).
3.3 Even and Odd Numbers

Numbers can be classified based on whether they can be fully paired.

Identifying Even and Odd (1 to 20)

Classifying numbers between $1$ and $20$:

  • Odd: $1, 3, 5, 7, 9, 11, 13, 15, 17, 19$
  • Even: $2, 4, 6, 8, 10, 12, 14, 16, 18, 20$
3.4 Crayons Arrangement & Number Patterns

Using visual aids like a numbered crayon box to identify patterns in numbers up to $50$.

3.5 Properties of Even and Odd Numbers

Understanding rules and patterns for larger numbers.

Identifying Larger Numbers

Classifying numbers like $30$, $46$, $78$, $154$, $300$ as even, and $67$, $99$, $415$ as odd based on their ending digit.

Making 2-Digit Numbers

Using digits $1$ and $6$ without repetition:

  • $16$ (Even)
  • $61$ (Odd)

Consecutive Numbers Pattern

When writing consecutive numbers (e.g., $20, 21, 22, 23, \dots$):

  • The numbers alternate between even and odd.
  • The numbers immediately before and after an odd number are always even.
  • The numbers immediately before and after an even number are always odd.