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Key Point: For simple arithmetic (linear) number patterns: nth term a_n = a_1 + (n - 1) × d, where a_1 is the first term and d is the common difference (useful for patterns like 2, 5, 8, 11...).
What is a pattern? A pattern is a repeated or regular arrangement of shapes, colours, numbers or objects. Patterns help us see order and predict what comes next.
Kinds of patterns commonly taught in Class 3
How to study a pattern (simple steps)
Vocabulary: repeat unit, term (an item in the pattern), rule, sequence, position.
Teaching tips: Use real objects (beads, buttons, tiles), draw patterns on paper, use number lines for number patterns, and ask children to describe the rule in words (for example 'add 3' or 'repeat red-blue').
Key Point: If the repeating unit has length k, the position inside the unit for term number n is: position = ((n - 1) mod k) + 1. (Use this to pick the item in the unit.)
A repeating pattern is a sequence in which a group of one or more items (shapes, colours, numbers or letters) repeats in the same order again and again. The smallest repeating group is called the unit of the pattern. To work with repeating patterns we identify the unit, repeat it, extend the pattern, and find which item comes at a given position.
Steps to understand and continue a repeating pattern:
Key ideas in simple words: if the pattern unit is AB (two items), the pattern goes AB AB AB ... If the unit is ABC (three items), the cycle is ABC ABC ABC ... The position of any term depends on where it falls inside the repeating unit.
Key Point: Arithmetic (constant addition/subtraction): nth term = first term + (n - 1) × step. Example: for 3, 5, 7,... first term = 3, step = 2 so nth = 3 + (n-1)×2.
What are growing and shrinking patterns?
Growing patterns are sequences or pictures that get bigger or increase in number following a rule. Shrinking patterns get smaller or decrease in number following a rule. Each step changes by the same amount or by a consistent rule so you can predict what comes next.
How to recognise them
How to describe the rule
Tips for Class 3 students
Key Point: Repeating notation: ABAB means unit 'A then B' repeats. Example: red, blue, red, blue = ABAB.
What is a pattern with shapes and designs? A pattern is a repeated or regularly changing arrangement of shapes, colours or designs. In Class 3, patterns with shapes and designs help children recognise repetition, symmetry and simple growth. Patterns can be made with geometric shapes (circle, square, triangle), colours, sizes or by turning and flipping shapes.
Types of shape patterns
How to find the rule of a pattern
Classroom activities — make strips of paper with coloured shapes, create border designs, fold paper to find mirror lines, and build tessellations using cut-out shapes.
Why this matters: Recognising patterns builds skills in observation, logical thinking and early algebraic reasoning. Patterns appear all around us in nature, art and buildings.
Key Point: General skip-count (arithmetic pattern): nth term a_n = a1 + (n - 1) × d, where a1 = first term and d = common difference.
What it is: Number patterns are sequences of numbers that follow a rule. Counting in patterns helps us spot the rule and predict the next numbers. In Class 3 you learn repeating patterns (ABAB...), growing or shrinking patterns (add or subtract the same amount each time), skip counting (counting by 2s, 5s, 10s...), and recognizing even and odd numbers.
How to study a number pattern — simple steps:
Common patterns you meet in Class 3:
Tips for solving missing-number problems: find the rule (look at differences or the repeating block), apply the rule forwards or backwards to fill gaps, and check by using a number line or drawing objects.
Key Point: Next = Current + Difference (for equal increments). Example: if difference = 2, Next = Current + 2.
What it means
A pattern is a sequence that follows a rule (it may repeat, increase or decrease). "Filling missing elements" means finding the item(s) left out in the sequence. "Predicting next" means using the rule to tell what comes after the last shown item.
Simple steps to solve a pattern
Common types of patterns
How to fill a missing element
How to predict the next item
Tips for children
Key Point: For simple arithmetic (number) patterns: nth term a_n = a1 + (n - 1) × d, where a1 is the first number and d is the common difference. Example: for 2, 4, 6, ... a1 = 2, d = 2, so a4 = 2 + (4-1)×2 = 8.
What is a pattern? A pattern is a sequence or arrangement that repeats or follows a rule. Patterns can be made with shapes, colours, objects or numbers. Learning to create and extend patterns helps children spot regularity and think logically.
Many number patterns follow a rule such as "add 2" or "subtract 3." Once you know the rule you can find any next number.
Short examples inside the explanation: 2, 4, 6, 8, ... (add 2 each time). ★ ○ ★ ○ ★ is a repeating pattern with unit "★ ○".
Key Point: Pattern rule (words): e.g., "Add 2 each time", "Alternate colours A and B", or "Repeat block ABC".
What is a pattern? A pattern is a repeated or regular arrangement of shapes, numbers, colours or objects. We can find patterns all around us in nature, at home, and in the classroom. Patterns help us predict what comes next and discover simple rules.
Types of patterns
How to study a pattern
Why patterns matter — they improve observation, help with counting and basic arithmetic, and are used in design, music, and technology.
Key Point: Skip counting idea: To go forward in a number pattern that adds the same amount each time, keep adding that amount (e.g., +2, +5).
What this topic is about: Practice Activities and Problem Solving helps students use what they know about patterns (shape, colour and number patterns) to observe, describe rules, continue patterns, create their own patterns and solve simple problems based on patterns.
Steps to work on a pattern:
Problem-solving tips for young learners:
Why this helps: These activities build observation, logical thinking and early arithmetic skills (addition and multiplication ideas as repeated addition). They also connect maths to daily life — arranging tiles, toys, beads or steps in a dance follow the same pattern rules.