Schooling · Class 6 · Mathematics · Patterns in Mathematics · Chapter on a page
CBSE Class 6 · Mathematics · NCERT Ganita Prakash
Patterns in Mathematics: chapter on a page
A cut of Shishya's notes for this chapter: the first paragraph of the introduction and the key ideas, formulas and facts, common mistakes and quick revision lists, word for word. Nothing is added or reworded; the worked examples are left out (they are on the chapter page).
About the notes: Written by Shishya's AI on 26 Sept 2026 from the chapter's title and class level, in Shishya's own words — not a copy or summary of the textbook. Read the official chapter for the book's own text, activities and exercises.
This note's current text has no applied fact-check on record.
Mind map
Drawn from the same notes by a fixed rule (no AI): each label is the item's own words — its bold term, its label before a colon, a short formula as written, or its first words.
The mind map as a list
- Key ideas
- A pattern is a set of numbers…
- To find a pattern, look at how each…
- Number patterns can go up (like 2…
- Shape patterns can repeat (circle…
- Even numbers (2, 4, 6, 8, …) and odd…
- Recognising a pattern helps you…
- The same rule can create different…
- Formulas and facts
- Counting numbers
- Even numbers
- Odd numbers
- Multiples of 5
- Rule for any pattern
- Watch out for
- Thinking every pattern adds the same…
- Looking only at the first two terms…
- Mixing up even and odd numbers
- Forgetting to verify the rule for…
- Writing the next term by counting on…
What this chapter is about
Patterns are arrangements that repeat or follow a rule. You see patterns everywhere — in floor tiles, in the petals of a flower, in the way days of the week repeat. Mathematics is full of patterns too. When you spot a pattern, you can often predict what comes next.
Key ideas
- A pattern is a set of numbers, shapes or objects arranged according to a rule that repeats or grows in a fixed way.
- To find a pattern, look at how each term changes to the next — is it adding, subtracting, multiplying, or changing shape?
- Number patterns can go up (like 2, 4, 6, 8) or down (like 20, 15, 10, 5).
- Shape patterns can repeat (circle, square, circle, square) or grow (one dot, two dots, three dots).
- Even numbers (2, 4, 6, 8, …) and odd numbers (1, 3, 5, 7, …) are simple patterns you already know.
- Recognising a pattern helps you predict what comes next without counting everything from the start.
- The same rule can create different patterns depending on the starting number.
Formulas and facts to remember
- Counting numbers: 1, 2, 3, 4, 5, … (each number is one more than the one before).
- Even numbers: 2, 4, 6, 8, … (add 2 each time; all are divisible by 2).
- Odd numbers: 1, 3, 5, 7, … (add 2 each time; leave remainder 1 when divided by 2).
- Multiples of 5: 5, 10, 15, 20, … (add 5 each time).
- Rule for any pattern: Difference between terms = Next term − Current term.
Common mistakes
- Thinking every pattern adds the same number → some patterns subtract, multiply or follow other rules.
- Looking only at the first two terms and guessing → always check at least three gaps before deciding the rule.
- Mixing up even and odd numbers → even numbers end in 0, 2, 4, 6, 8; odd numbers end in 1, 3, 5, 7, 9.
- Forgetting to verify the rule for all given terms → after guessing a rule, test it on every term.
- Writing the next term by counting on fingers without finding the rule → always state the rule first.
Quick revision
- A pattern follows a rule that tells you how to get from one term to the next.
- Find the rule by checking the difference or change between terms.
- Even numbers: 2, 4, 6, … (add 2). Odd numbers: 1, 3, 5, … (add 2).
- Shape patterns often repeat a fixed group of shapes.
- Once you know the rule, you can predict any term without listing all the terms before it.