Patterns in Mathematics
Class 6 · Mathematics
5 ideas in Class 6 Mathematics, explained in plain words, with games and quizzes to practise.
What is a Pattern
Part of: Understanding Patterns
A pattern is something that repeats in an orderly way. Patterns can be made with numbers, shapes, colours or actions. For example, the sequence 2, 4, 6, 8 is a pattern where each number is 2 more than the one before. Patterns help us predict what comes next.
Why it matters. Mathematics is all about finding patterns. When we understand a pattern, we can solve problems faster and predict future values without calculating each one. Patterns also help us see beauty and order in the world around us.
Try it in two minutes
- Ask your child to show you their clothes and find a pattern, like stripes or checks. Describe how the pattern repeats.
- Make a pattern using objects at home: red pen, blue pen, red pen, blue pen. Ask: what comes next?
- Look at stairs, tiles or a wall and find a visual pattern. Ask your child to explain the pattern in their own words.
Try at home. Create a simple number pattern like 5, 10, 15, 20 and ask your child to write the next three numbers and explain the rule.
Identifying Number Sequences
Part of: Number Patterns and Sequences
Number sequences are ordered lists of numbers that follow a rule. Counting numbers are 1, 2, 3, 4… Odd numbers are 1, 3, 5, 7… Even numbers are 2, 4, 6, 8… Each sequence has its own pattern rule that tells you which number comes next.
Why it matters. Number sequences appear everywhere in maths and science. Learning to spot sequences helps you solve puzzles, predict trends and understand how numbers relate to each other.
Try it in two minutes
- Write the numbers 1 through 10 and ask your child to circle the odd numbers, then the even numbers.
- Say a sequence aloud like 5, 10, 15, 20 and ask: what comes next? Write it down.
- Pick any number and ask your child to make a sequence where that number is the rule, like add 3 each time.
Try at home. Ask your child to write two sequences of 6 numbers each, one with odd numbers and one with even numbers.
Visualizing Number Sequences
Part of: Number Patterns and Sequences
Many number sequences can be drawn as pictures. Square numbers like 1, 4, 9, 16 can be shown as square grids of dots. Triangular numbers like 1, 3, 6, 10 can be shown as triangles of dots. Seeing the picture helps you understand why the pattern works the way it does.
Why it matters. Drawing a pattern as a picture makes it clearer and helps children spot relationships. It also helps explain why a pattern works, not just what the pattern is.
Try it in two minutes
- Ask your child to draw dots in a line for the sequence 1, 2, 3, 4. Then arrange them as a stair shape and describe what you see.
- Draw a 3 × 3 grid of dots and a 4 × 4 grid. Ask: which is a square number?
- Draw dots in a triangular arrangement and count them. Ask your child to predict the next triangle size.
Try at home. Ask your child to draw the first 4 square numbers and the first 4 triangular numbers using dots.
Relations Among Number Sequences
Part of: Number Patterns and Sequences
Different number sequences can be connected in surprising ways. For example, if you add up the first few odd numbers, you get square numbers: 1 = 1², 1+3 = 4 = 2², 1+3+5 = 9 = 3². These connections help mathematicians understand why patterns work.
Why it matters. Finding connections between sequences shows that maths has deep structure and beauty. It also helps children think like real mathematicians, not just follow rules.
Try it in two minutes
- Write the odd numbers 1, 3, 5, 7. Add them step by step: 1, 1+3=4, 1+3+5=9, 1+3+5+7=16. Ask: what sequence do you get?
- Arrange dots to show why 1+3 = 4 as a square. Then do the same for 1+3+5 = 9.
- Ask your child: can you find another pair of sequences that are related?
Try at home. Challenge your child to add the first 5 odd numbers and check if the answer is a square number.
Recognizing and Extending Shape Sequences
Part of: Shape Patterns
Shapes can form sequences just like numbers do. For example, polygons with increasing numbers of sides form a sequence: triangle (3), square (4), pentagon (5), hexagon (6). Shape sequences follow rules just like number sequences, and you can use these rules to draw the next shape.
Why it matters. Learning to see patterns in shapes helps children understand geometry and develop spatial thinking. It also shows that pattern rules apply everywhere in mathematics, not just to numbers.
Try it in two minutes
- Draw a triangle, square, pentagon and ask: how many sides does each have? What comes next?
- Make a pattern with sticks: 3 sticks in a triangle, 4 in a square, 5 in a pentagon. Ask your child to build the next one.
- Draw small squares and show how you can arrange them in growing rows: 1, then 1+2, then 1+2+3. Ask: what pattern do you see?
Try at home. Ask your child to draw a sequence of stars or circles growing in size and describe the pattern.
What your child will practise
- Identifying Number Sequences: Jungle Quest (Flip and Match)
- Recognizing and Extending Shape Sequences: Candy Quick Fire (Quick Fire)
- Relations Among Number Sequences: Ocean Puzzle (Clue Puzzle)
- Visualizing Number Sequences: Space Quick Fire (Quick Fire)
- What is a Pattern: Ocean Quest (Collect the Answer)
- Quiz: Identifying Number Sequences (8 questions)
- Quiz: Recognizing and Extending Shape Sequences (8 questions)
- Quiz: Relations Among Number Sequences (8 questions)
- Quiz: Visualizing Number Sequences (8 questions)