Growing Patterns

Overview

Curriculum Area: Mathematics
Strand: Patterns and Algebra (Grade 2)
Specific Standard: Students will identify, describe, extend, and create growing patterns using numbers, shapes, and objects.

This lesson aligns with Ontario Curriculum Expectations. Specifically, it addresses:

• Identify and describe growing patterns and explain the rule using numbers or concrete materials (e.g., “The pattern starts at 2 and each term increases by 2”).
• Demonstrate understanding of spatial relationships through pattern recognition.

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Learning Objectives

By the end of this 30-minute lesson, students will:

1. Identify and describe growing patterns using numbers, objects, and visuals.
2. Understand and explain how patterns grow based on a "rule" (e.g., adding or multiplying consistently).
3. Create their own growing pattern and explain the rule behind it.

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Lesson Preparation

Materials Needed:

• A set of coloured paper squares or counters in 3-4 colours
• A whiteboard and markers
• Student worksheets (pre-prepared with pattern templates)
• Mini dry-erase boards for students
• Chart paper for collaborative group work

Room Setup: Arrange the classroom so students can work in pairs, with access to shared counters and paper squares.

Vocabulary to pre-teach:

• Growing Pattern: A sequence where the items increase in number, size, or other properties according to a rule.
• Rule: A set of instructions that explain how the pattern grows (e.g., “add 2 circles each time”).

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Lesson Sequence

1. Warm-Up (5 minutes)

• Write a simple, familiar growing pattern on the whiteboard using numbers:
  "2, 4, 6, 8, __, __".
  • Ask students: “What do you notice about this pattern? How is it growing?”
  • Guide them to see that the numbers are increasing by 2 each time.
• Transition to using objects. Place one red counter, followed by two blue counters, then three yellow counters. Ask:
  “How is this pattern growing? What colour and how many counters come next?”

2. Main Activity: Building Growing Patterns (15 minutes)

A. Mini Lesson (5 minutes)

1. MODEL: On the whiteboard, create a growing pattern with both shapes and numbers:
   🔴, 🔴🔴, 🔴🔴🔴 (1 red circle, followed by 2, followed by 3).
   Write the numbers (1, 2, 3) underneath the counters.
   • Ask: “What is the rule for this pattern?” Guide them to: “Add one circle every time.”
2. Relate to real-life examples (use age-appropriate context):
   “Imagine planting trees … if we plant one tree in week one, two trees in week two, and three in week three—what’s the next step?”

B. Group Work (10 minutes)

1. Hands-On Task: Provide small groups of 2 students with coloured squares or counters. Challenge them to:

   • Build their own growing pattern using the materials (e.g. add one colour or increase size).
   • Write the numbers underneath their pattern to explain how it grows (e.g., 3, 6, 9: “Add 3 each time.”).

2. Circulate, observe, and prompt deeper thinking with questions:

   • “What is happening as the pattern grows?”
   • “Can you describe the rule in your own words?”
   • “How do you know what comes next?”

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3. Sharing and Reflecting (8 minutes)

• Ask each group to present their growing pattern to the class.
• Provide chart paper, and as they explain, write the "Pattern Rule" underlined on their design. Example: "Add 2 stars each time."
• Encourage students to compare patterns. Ask, “Can you see any similarities between different growing patterns?”

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4. Closing and Challenge (2 minutes)

• Review the term "growing pattern" and emphasise how identifying the rule helps us extend the sequence.
• Present a mystery challenge: Draw a pattern on the board (e.g., 1 triangle, 3 triangles, 6 triangles, __, __) and ask students to think about the rule at home:
  “Bring your ideas tomorrow and let’s solve it together!”

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Alternative Differentiation Ideas

• For advanced learners: Encourage discovering growing patterns using multiplication (e.g., x2 each time).
• For additional support: Work one-on-one with a simpler task using fewer items and steps.

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Assessment Strategies

1. Observation: Monitor student participation and ability to explain the “rule” during hands-on group work.
2. Student Work: Review worksheets for accuracy in extending patterns and identifying the rule.
3. Self-Reflection: Have students draw and journal a growing pattern they observed at home (optional).

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Teacher’s Notes

Have fun with this! Reinforce creativity while showing the relevance of growing patterns to real-world concepts like art, nature, and sequences. Use enthusiastic and clear language to encourage participation.