Number Patterns (Addition/Subtraction)

Children learn number patterns best when they can see, touch and talk about what they observe. With addition and subtraction patterns, active movement and visual sequences make the rule come alive in ways that worksheets alone cannot.

• Class 2
• Mathematics
• 4 activities
• 10 min–25 min

Learning Objectives

1. Identify the rule governing a given number sequence by analyzing the difference between consecutive terms.
2. Predict the next three numbers in an increasing or decreasing number sequence following a consistent addition or subtraction rule.
3. Construct a number pattern of at least five terms starting from a given number and applying a specified addition or subtraction rule.
4. Explain the rule used to generate a number pattern in their own words.

Concept Mapping

⏱ 20 min·Pairs

Pattern Chain Relay

Students work in pairs to build a paper chain where each link has a number following an addition or subtraction rule, like starting at 5 and adding 3 each time. One student adds a link, passes to partner for the next. The class checks the complete chain.

Prepare & details

Analyze a number sequence to determine the rule that generates it.

Facilitation Tip: For Pattern Chain Relay, prepare a set of number cards taped to the floor so students can physically step on each number while reciting the pattern aloud.

Setup: Standard classroom seating works well. Students need enough desk space to lay out concept cards and draw connections. Pairs work best in Indian class sizes — individual maps are also feasible if desk space allows.

Materials: Printed concept card sets (one per pair, pre-cut or student-cut), A4 or larger blank paper for the final map, Pencils and pens (colour coding link types is optional but helpful), Printed link phrase bank in English with vernacular equivalents if applicable, Printed exit ticket (one per student)

• Understand
• Analyze
• Create
• Self-Awareness
• Self-Management

Concept Mapping

⏱ 15 min·Small Groups

Missing Number Puzzle

Provide worksheets with incomplete sequences like 3, _, 9, 12. Students fill gaps individually, then share rules in small groups. Discuss why subtraction patterns skip numbers.

Prepare & details

Predict the next numbers in a sequence like 2, 4, 6, 8...

Facilitation Tip: During Missing Number Puzzle, give students colour pencils so they can circle the missing number and write the rule above the sequence for easy checking.

Setup: Standard classroom seating works well. Students need enough desk space to lay out concept cards and draw connections. Pairs work best in Indian class sizes — individual maps are also feasible if desk space allows.

Materials: Printed concept card sets (one per pair, pre-cut or student-cut), A4 or larger blank paper for the final map, Pencils and pens (colour coding link types is optional but helpful), Printed link phrase bank in English with vernacular equivalents if applicable, Printed exit ticket (one per student)

• Understand
• Analyze
• Create
• Self-Awareness
• Self-Management

Concept Mapping

⏱ 25 min·Individual

Create Your Pattern

Each student draws a number pattern on a chart paper, such as starting from 10 and subtracting 2. They present to the class, who predicts the next three numbers.

Prepare & details

Construct a number pattern that increases by 3 each time, starting from 10.

Facilitation Tip: In Pattern Clap Game, pair students so one claps the pattern while the other writes it down, ensuring every child participates.

Setup: Standard classroom seating works well. Students need enough desk space to lay out concept cards and draw connections. Pairs work best in Indian class sizes — individual maps are also feasible if desk space allows.

Materials: Printed concept card sets (one per pair, pre-cut or student-cut), A4 or larger blank paper for the final map, Pencils and pens (colour coding link types is optional but helpful), Printed link phrase bank in English with vernacular equivalents if applicable, Printed exit ticket (one per student)

• Understand
• Analyze
• Create
• Self-Awareness
• Self-Management

Concept Mapping

⏱ 10 min·Whole Class

Pattern Clap Game

Teacher calls a starting number and rule, like '10, add 2.' Whole class claps and shouts numbers in unison, speeding up to test recall. Vary with subtraction.

Prepare & details

Analyze a number sequence to determine the rule that generates it.

Setup: Standard classroom seating works well. Students need enough desk space to lay out concept cards and draw connections. Pairs work best in Indian class sizes — individual maps are also feasible if desk space allows.

Materials: Printed concept card sets (one per pair, pre-cut or student-cut), A4 or larger blank paper for the final map, Pencils and pens (colour coding link types is optional but helpful), Printed link phrase bank in English with vernacular equivalents if applicable, Printed exit ticket (one per student)

• Understand
• Analyze
• Create
• Self-Awareness
• Self-Management

Teaching This Topic

Start with concrete objects such as number cards or counters to build the first few terms of the pattern. Once the rule is clear, move to abstract numbers. Avoid rushing to symbols before students can verbalise the pattern in words. Research shows that children who describe patterns aloud before writing them down develop stronger logical structures.

What to Expect

Students will confidently state the rule for a given pattern, extend the sequence by at least two more terms, and create their own increasing or decreasing pattern with clear steps. They will also explain differences between addition and subtraction patterns to a partner.

Watch Out for These Misconceptions

Common Misconception

During Pattern Chain Relay, watch for students who assume every pattern goes up and never down.

What to Teach Instead

Pause the relay after a decreasing pattern like 12, 9, 6 and ask, 'How did the rule change here?' Have them step back two numbers to see subtraction in action.

Common Misconception

During Create Your Pattern, watch for students who write only one step of the rule instead of a full sentence.

What to Teach Instead

Ask them to read their pattern aloud while pointing to each card; if they say, 'I added 5', ask them to write the full rule: 'Start with 3, add 5 each time' on their sheet.

Assessment Ideas

Quick Check

After Pattern Chain Relay, write the sequence 8, 12, 16, 20 on the board. Ask students: 'What is the rule for this pattern?' and 'What are the next two numbers?' Note who can correctly identify 'add 4' and predict 24, 28.

Exit Ticket

During Missing Number Puzzle, give each student a card with 'Start with 7, subtract 3'. Ask them to write the first five numbers in this pattern on the back of their puzzle sheet before leaving.

Discussion Prompt

After Create Your Pattern, present two sequences on the board: 4, 8, 12, 16... and 25, 21, 17, 13.... Ask students to work in pairs and explain to each other: 'How are these patterns different?' Listen for clear mentions of addition versus subtraction rules.

Extensions & Scaffolding

• Challenge: Ask early finishers to create a pattern that uses both addition and subtraction in alternate steps, e.g. 5, 10, 7, 12, 9.
• Scaffolding: Provide a partially completed pattern strip with every third number missing so students only need to focus on the rule.
• Deeper exploration: Invite students to invent a story that matches their pattern, such as a frog jumping 2 steps forward then 3 steps back.

Key Vocabulary

Number Pattern	A sequence of numbers that follows a specific rule, like adding or subtracting the same amount each time.
Rule	The instruction that tells us how to get from one number to the next in a pattern. For example, 'add 2' or 'subtract 5'.
Sequence	A set of numbers arranged in a particular order, following a rule.
Consecutive	Numbers that follow each other directly in order, like 5 and 6, or 10 and 12 in a pattern.