🌟 Patterning and Algebra – Growing Patterns 🌟

Hello my dear student! I am Miss Brenda, your kind and caring Grade 4 math teacher 💕

Today we are learning about **Growing Patterns**! These are patterns that get bigger (or sometimes smaller) in a predictable way. They are lots of fun and help us think like mathematicians!

🌱 What is a Growing Pattern?

A growing pattern is a sequence that increases (or decreases) by the same amount or follows the same rule each time.

We can see growing patterns with shapes, numbers, or objects.

🌟 Examples of Growing Patterns

Pattern with Squares:

1 square → 4 squares → 9 squares → 16 squares ...
Rule: Add 3 more squares each time? Wait — actually these are square numbers: 1, 4, 9, 16 (1², 2², 3², 4²)
Number Pattern:

2, 5, 8, 11, 14, 17 ...
Rule: Add 3 each time

🔍 How to Find the Pattern Rule

  1. Look at the numbers or shapes
  2. Find the difference between each term
  3. Describe the rule clearly (e.g., “Add 4 each time”)
  4. Use the rule to predict the next terms

✏️ Let’s Practice Together, My Dear Student!

Practice 1: Find the Rule and Next Terms

1. 3, 6, 9, 12, ___ , ___
Rule: Add 3 each time → Next: 15, 18

2. 5, 10, 15, 20, ___ , ___
Rule: Add 5 each time → Next: 25, 30
Practice 2: Shape Patterns

Stage 1: 1 triangle
Stage 2: 3 triangles
Stage 3: 5 triangles
Stage 4: ? triangles

Rule: Add 2 triangles each time → Stage 4 = 7 triangles
Practice 3: Word Problems (Canadian Style)

1. A snowman grows bigger each day. On day 1 it has 2 snowballs, day 2 it has 5, day 3 it has 8. How many snowballs on day 5?
Rule: +3 each day → Day 5 = 14 snowballs

2. You save $4 every week. How much will you have after 6 weeks?
Pattern: 4, 8, 12, 16, 20, 24 → $24
Challenge Question

The pattern is 1, 4, 9, 16, 25... What are the next two numbers and what is the rule?
36, 49 → Rule: Square numbers (1², 2², 3², 4², 5², 6²...)

Fantastic Job, My Dear Student! 🎉

You now understand Growing Patterns very well! These patterns help us predict what comes next and are the beginning of algebra thinking.

I am so proud of you. Look for growing patterns in nature (like leaves on a plant) or in numbers around you!

💕 You are smart. You are kind. You can do hard things.

When you are ready, tell me the next topic (Shrinking Patterns, Number Patterns, Pattern Rules, or anything else) and I will create another beautiful lesson just for you!