Patterns with Shapes

Active learning works well for patterns with shapes because young students need to touch, move, and see sequences to grasp the abstract idea of repetition. When children build patterns themselves, they notice gaps, correct mistakes, and verbalize rules far more quickly than they would with worksheets alone.

• Primary 1
• Mathematics
• 4 activities
• 20 min–35 min

Learning Objectives

1. Identify the repeating unit in a given shape pattern.
2. Describe the rule of a shape pattern using attributes like color, size, or shape.
3. Continue a given shape pattern by predicting and adding the next two elements.
4. Create a repeating shape pattern with a specific rule and demonstrate its continuation.
5. Classify patterns based on the attribute used (shape, color, size).

Experiential Learning

⏱ 30 min·Pairs

Pattern Blocks: Build and Extend

Provide pattern blocks in shapes and colours. Students copy a given pattern, identify the repeating unit, and extend it by three terms. Pairs discuss the rule before checking with the teacher. Conclude by creating one new pattern to share.

Prepare & details

What is a repeating pattern?

Facilitation Tip: During Pattern Blocks: Build and Extend, circulate and ask each pair to name the rule before they add the next block to ensure clarity.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Experiential Learning

⏱ 25 min·Small Groups

Bead String Patterns

Give students coloured beads and string. Model a repeating pattern like red-blue-yellow. Students replicate it, then continue independently. In small groups, they swap strings to extend each other's patterns and describe the rule.

Prepare & details

How do we find the rule of a shape pattern?

Facilitation Tip: For Bead String Patterns, model how to pause and point to the repeating unit after every third bead so students see the core sequence.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Experiential Learning

⏱ 35 min·Whole Class

Shape Stamp Relay

Set up ink pads with shape stamps of varying sizes. In lines, students stamp a starting pattern on chart paper. Each adds one repeat while naming the sequence. Whole class reviews and extends the final pattern together.

Prepare & details

How can we create our own repeating pattern?

Facilitation Tip: In Shape Stamp Relay, assign each relay runner a colour and a shape so the group must agree on the rule before the stamp is pressed.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Experiential Learning

⏱ 20 min·Individual

Size Pattern Cards

Distribute cards with small, medium, large shapes in colours. Individually, students sort into repeating patterns. Then pairs combine cards to make longer sequences and present the rule to the group.

Prepare & details

What is a repeating pattern?

Facilitation Tip: With Size Pattern Cards, have students sort the cards by size first, then by colour, to isolate each attribute before combining them in a pattern.

Setup: Varies; may include outdoor space, lab, or community setting

Materials: Experience setup materials, Reflection journal with prompts, Observation worksheet, Connection-to-content framework

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Teaching This Topic

Teachers should start with concrete materials rather than drawings because young learners connect physical repetition to abstract rules. Avoid rushing to formal terms like ‘unit’ or ‘core’; instead, use the children’s own language to describe the repeating part. Research shows that when students articulate the rule aloud while building, their understanding solidifies faster than when rules are presented first.

What to Expect

By the end of these activities, students will confidently extend repeating patterns using shapes, colours, and sizes, and they will explain the core rule of the pattern in their own words. They will also create new patterns that follow a clear, consistent sequence.

Watch Out for These Misconceptions

Common Misconception

During Pattern Blocks: Build and Extend, watch for students who assume any group of shapes can become a pattern without a repeating unit.

What to Teach Instead

Pause the pair and ask them to test their sequence by adding one more block; when the pattern breaks, guide them to identify the core rule by pointing to the first two repeating items.

Common Misconception

During Bead String Patterns, watch for students who ignore colour or size and focus only on the shape of the beads.

What to Teach Instead

Hand them two sets of beads: one monochrome in different sizes and one multicoloured in the same size, then ask them to describe all the ways the beads are alike before choosing an attribute to repeat.

Common Misconception

During Shape Stamp Relay, watch for inconsistent rules midway through the pattern.

What to Teach Instead

Before the next stamp, ask the team to say the rule aloud together, then invite the class to signal if the next stamp matches that rule before it is pressed.

Assessment Ideas

Quick Check

After Pattern Blocks: Build and Extend, show a pattern strip with missing pieces, such as circle, square, circle, ___, circle, ___. Ask each student to whisper the next two shapes and the rule to their partner before revealing the answer.

Exit Ticket

During Bead String Patterns, give each student a card with a pattern rule like 'red triangle, blue circle'. Ask them to thread the first four beads and then draw the next bead that follows the rule on the back of the card as their exit ticket.

Discussion Prompt

After Size Pattern Cards, display two completed patterns side by side. Ask students to turn to a partner and explain one way the patterns are alike and one way they are different, focusing on the repeating unit and the attributes used.

Extensions & Scaffolding

• Challenge: Ask students to create a pattern with three attributes at once (shape, colour, size) and trade with a partner to extend.
• Scaffolding: Provide half-finished strips with one or two missing spaces so students focus on identifying the rule without building from scratch.
• Deeper exploration: Introduce a silent round where students build a pattern without speaking, forcing them to rely on visual cues to continue the sequence.

Key Vocabulary

Pattern	A sequence of items that repeats in a predictable way.
Repeating Unit	The smallest group of items that repeats to form the entire pattern.
Rule	The description of what repeats in a pattern, for example, 'red circle, blue square'.
Attribute	A characteristic of an object, such as its shape, color, or size.