Play With Patterns

What is a pattern? A pattern is a repeated or regular arrangement of shapes, colours, numbers or objects. Patterns help us predict what comes next by following a rule.

Parts of a pattern
• Motif (unit of repeat): the smallest block that repeats (for example, red-blue in red-blue-red-blue).
• Rule: the instruction that produces the next part (for example, 'add 2' or 'alternate colours').

Types of patterns
• Repeating patterns: same motif repeats (ABAB, AAB AAB).
• Growing/Increasing patterns: the motif grows (1, 2, 3, 4 dots; or 1, 3, 5, 7).
• Number patterns: follow an arithmetic or multiplicative rule (2, 4, 6, 8 is +2; 2, 4, 8, 16 is ×2).
• Shape/colour patterns: made with shapes or colours (circle, square, circle...).

How to work out a pattern
1. Find the motif or first terms.
2. Look for a change: are you adding, subtracting, multiplying, alternating or increasing by a fixed shape?
3. State the rule in simple words or symbols (for example, 'add 3 each time').
4. Use the rule to extend the pattern, fill missing elements, or check correctness.

Why patterns matter
Patterns build logical thinking and prepare for algebra. They appear everywhere — in nature, art, music and daily life — so recognizing patterns helps in observation and problem solving.

What is a repeating pattern? A repeating pattern is a sequence of shapes, colours, numbers or objects that repeats itself in the same order again and again. The smallest group of items that repeats is called the repeating unit (or block).

How to recognise and make repeating patterns

• Look for the smallest group of items that repeats (for example AB in ABAB, or ABC in ABCABC).
• Write or draw the repeating unit once, then copy it as many times as needed to continue the pattern.
• Describe the rule of the pattern in words (e.g., "alternate red and blue", "repeat circle, square, triangle").

Types of repeating patterns

• By shape or colour (e.g., red, blue, red, blue).
• By size (big, small, big, small).
• By number (2, 4, 2, 4) or by arithmetic sequences that repeat their differences.
• Two-dimensional patterns (tiling, floor designs) where a motif repeats over a plane.

Why they matter Repeating patterns develop observation, reasoning and prediction skills. They appear in nature and everyday life, helping children recognise order and make predictions.

What are growing and shrinking patterns?

Growing (increasing) patterns are sequences in which the next term gets larger than the previous one. Shrinking (decreasing) patterns are sequences in which the next term gets smaller than the previous one. Patterns can be made with numbers, shapes, or objects.

How to recognise a pattern

• Look at a few terms and ask: How does each term change to become the next?
• If the change is by adding or subtracting the same number each time, the pattern is an add/subtract type (arithmetic).
• If the change is by multiplying or dividing by the same number each time, the pattern is a multiply/divide type (geometric).
• Write the rule in short words (for example: “add 3”, “subtract 4”, “multiply by 2”). Then use it to continue the pattern.

Examples of types

• Adding: 2, 4, 6, 8, ... (rule: add 2) — growing.
• Subtracting: 20, 17, 14, 11, ... (rule: subtract 3) — shrinking.
• Multiplying: 1, 2, 4, 8, 16, ... (rule: multiply by 2) — growing faster.
• Pictures:
  • 1 star, 2 stars, 3 stars, ... (growing by 1)
  • A triangle loses one dot each time: 7, 6, 5, 4, ... (shrinking by 1)

How to find the next terms

• Find the change between two terms (difference or ratio).
• Check the same change works for more pairs.
• Apply the rule to get next terms and to fill missing terms.

Why this is useful

Growing and shrinking patterns help us predict what comes next, understand number relationships and solve real-life problems (saves time when counting repeated steps).

Number patterns are sequences of numbers that follow a clear rule. In Class 4 you learn to recognise the rule, continue the sequence, find missing numbers and make new patterns. Patterns can be:

• Repeating (e.g. 2, 4, 2, 4, ...),
• Increasing or growing (e.g. 3, 6, 9, 12, ...),
• Decreasing (e.g. 20, 18, 16, ...),
• Special lists such as odd numbers (1, 3, 5, ...) or even numbers (2, 4, 6, ...).

Steps to work with number patterns:

1. Look at how numbers change from one term to the next (add, subtract, multiply or repeat).
2. Find the difference or rule in words (for example, "add 2 each time").
3. Use the rule to write the next numbers or to find missing terms.
4. Check by applying the rule again to be sure it works.

Simple examples: 5, 10, 15, 20, ... (rule: add 5). 8, 6, 4, 2, ... (rule: subtract 2). For repeating patterns you can use shapes or colours, e.g. circle, square, triangle, circle, square, triangle...

Helpful tools: number line, dot/grid drawings, tables and colour-coded boxes make it easier to see the rule and continue the pattern.

What are shape and colour patterns?

Shape and colour patterns are arrangements of shapes and/or colours that follow a regular, predictable rule. These rules can repeat exactly (repeating pattern), grow or shrink (growing/shrinking pattern), or change by rotation, reflection or colour change.

Types and how to recognise them

• Repeating patterns: A small block of elements (called the unit or core) repeats over and over. Example: red, blue, red, blue ...
• Growing patterns: Each step adds (or removes) shape(s) in a regular way. Example: 1 triangle, 2 triangles, 3 triangles ...
• Alternating/Transforming patterns: Elements repeat but change by rotation, mirror image, or colour change (for example, a square rotated 90° each time).
• Symmetry-based patterns: Patterns that repeat around a centre or along a line (tiles, mandalas).

How to find the rule

1. Look for the smallest block that repeats (the unit).
2. Check what changes from one step to the next (colour, number, position, orientation, or size).
3. Write the rule in words (e.g., "add one red square each time" or "repeat red, blue, yellow").
4. Use the rule to predict the next terms or the element at a given position.

Simple methods

• Number the positions (1, 2, 3, ...). For repeating patterns find the length (L) of the unit. The element at position n is the ((n−1) mod L)+1 element of the unit.
• For linear growth (same number added each step), use an nth-term idea: nth = first + (n−1) × change.

Why this matters

Recognising shape and colour patterns helps in early algebraic thinking, logical reasoning and problem solving. It also connects to art, design, and day-to-day observations like tiles, clothing prints and traffic signals.

What is a pattern? A pattern is a sequence that follows a rule. In Class 4 we meet two main kinds: pictorial patterns (shapes, colours) and number patterns (numbers following an addition, subtraction, or multiplication rule).

Extending a pattern means to continue the sequence by finding and applying the rule that produces the next items. Completing a pattern means to fill in missing items inside a given sequence using the same rule.

Steps to extend or complete a pattern

1. Observe the pattern carefully — look for repeating units or change between consecutive items.
2. Identify the smallest repeating block or the rule (for numbers: add, subtract, multiply, or alternate).
3. Apply the rule to get the next items or to fill the missing ones.
4. Check your answer by verifying the rule across the whole sequence.

Types of patterns you will see

• Repeating patterns: e.g., red, blue, red, blue...
• Growing (increasing) patterns: e.g., 2, 4, 6, 8... (add 2 each time)
• Shrinking (decreasing) patterns: e.g., 20, 15, 10, 5... (subtract 5)
• Alternating patterns: two or more different rules alternate.

Real-life places to find patterns: tile designs, bead necklaces, calendar days (weeks repeat), number lines, steps on a staircase (equal rise), seating arrangements in a classroom, traffic light sequence.

Patterns are arrangements or sequences of shapes, colours or numbers that repeat or change in a regular way. In Class 4 we learn to create patterns and to describe them so we can extend them, find missing parts and explain the rule that makes them work.

Types of patterns:

• Repeating patterns — a block (unit) of items repeats over and over (for example: circle, square, triangle, circle, square, triangle...).
• Growing (or increasing) patterns — the pattern changes by a fixed rule that adds or multiplies each step (for example: 2, 4, 6, 8... increases by 2 each time).
• Shrinking (or decreasing) patterns — items reduce by a fixed amount each step (for example: 20, 18, 16, 14...).
• Alternating and complex patterns — two or more simple patterns combined, or patterns that change in more than one way.
• Symmetric and mirror patterns — patterns that reflect around a centre line (useful in art and design).

How to describe a pattern (simple steps):

1. Look for the smallest repeating unit or the rule that links one term to the next.
2. State the rule in words (for example: "add 3", "multiply by 2", "repeat red, blue, green").
3. Use the rule to continue the pattern or fill missing items.
4. Check your answer by applying the rule again.

Why patterns matter: they help with counting, multiplication, division, algebraic thinking and spotting relationships. Many real-life things — tiles, floor designs, calendars, seasons, seating arrangements — follow patterns.

What is a grid or board? A grid (or board) is made of equal small squares arranged in rows and columns. Each small square is a unit square. Grids help us draw and study patterns clearly.

What are patterns on a grid? Patterns on a grid are shapes or colourings of some unit squares that follow a rule. The rule can repeat (a motif), grow step by step, mirror, or move across the grid. We look for the rule, continue the pattern, or count squares.

How to study patterns on a grid

• Look for the rule: Is the pattern repeating, adding a fixed number of squares each step, or growing like stairs?
• Use rows and columns: Count how many rows and how many columns are filled. For a filled rectangle, number of shaded squares = rows × columns.
• Draw, colour, or mark unit squares on graph paper to test the rule and to make the next shapes.
• Use simple arithmetic to predict the next step: addition for repeated increase, multiplication for full rows or blocks.
• Notice symmetry and translations (sliding a motif) or rotations (turning the motif).

Why this helps Studying grid patterns builds skills in counting, multiplication, addition, predicting rules, and reading simple geometry (area and perimeter in unit squares).

What is a rule? A rule is a simple sentence or mathematical instruction that tells how a pattern or sequence changes from one step to the next. Using the rule we can predict (find) the next items in the pattern.

How to find a rule:

1. Look at the pattern (numbers, shapes or colours).
2. See how one item changes to the next — e.g. do we add, subtract, multiply, divide or repeat colours/shapes?
3. Write the rule in words (for example, "add 3") or as a math sentence (for example, "+3").
4. Use the rule to get more terms.

Types of rules you will meet in Class 4:

• Constant addition or subtraction (e.g. +2, −1)
• Repeated pattern of shapes or colours (e.g. red, blue, green, red, blue, green)
• Multiplication rule (e.g. ×2) or doubling
• Alternating rules (e.g. +3, −1, +3, −1)

Why this helps: Once you know the rule, you can predict any future term without listing all previous terms. You can also make tables and draw simple graphs to show how the pattern grows.

Patterns are arrangements that repeat or grow in a regular way. In real life we see patterns in shapes, colours, numbers and actions. There are three common types of patterns:

• Repeating patterns — a unit (like red-blue-green) repeats: red, blue, green, red, blue, green...
• Growing patterns — elements increase by a rule (1, 2, 3, 4 ... or 2, 4, 6, 8 ...).
• Shrinking patterns — elements decrease by a rule (10, 8, 6, 4 ...).

To work with a pattern: (1) look at the first few items, (2) find what repeats or how the numbers change, (3) state the rule in words or a simple formula, (4) continue the pattern or answer questions about it.

Real-life uses: making tile or cloth designs, arranging seats, counting money, setting alarm repeats, reading calendars and clocks, and planning rows in gardens. Learning patterns helps with multiplication, skip-counting and problem solving.

Tips for students: mark one repeating unit with a colour, use a number line for growing patterns, and write the rule (for example 'add 3' or 'repeat red-blue').

What this topic is about
Exercises and activities for 'Play with Patterns' help children notice, describe, make and extend patterns. The aim is to develop observation, logical thinking and simple number sense by working with repeating, growing, shrinking and symmetrical patterns using colours, shapes, objects and numbers.

How to work on a pattern exercise (step-by-step)

• Observe the given units (colours, shapes, numbers or objects).
• Find the rule — what repeats or how things change (e.g., +2, ×3, colour sequence ABAB, size grows by one).
• Describe the pattern in words or symbols (e.g., ABBC, add 3 each time).
• Extend the pattern by writing or drawing the next terms.
• Create your own pattern and ask a friend to continue it.

Types of patterns students meet in exercises

• Repeating patterns: (ABAB, AABB, ABCABC) using colours or shapes.
• Growing / number patterns: sequences that increase regularly (2, 4, 6, 8 …).
• Shrinking patterns: sequences that decrease (10, 8, 6, 4 …).
• Symmetrical / mirror patterns: shapes mirrored around a line (ABA).
• Block and tile patterns (tessellation): arranging shapes in rows or on grids.

Classroom and home activities

• Make a bead string with repeating colour patterns (red, blue, red, blue) and ask classmates to continue it.
• Use number sticks or cards to create skip-counting sequences (counting by 2s, 5s, 10s).
• Arrange leaves or stamps to form growing/shrinking patterns and draw them in a notebook.
• Draw pattern borders using shapes on a square grid (use 2×2 or 4×4 blocks).
• Use a mirror or fold paper to make and observe symmetrical patterns.

Tips for teachers and parents

• Ask children to say the rule out loud before writing the next terms.
• Encourage both picture and number versions of the same pattern.
• Move from concrete objects (beads, blocks) to drawings and then to numbers.
• Use number lines for number patterns and grids for shape/tile patterns.