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Growing and Shrinking Patterns

With your kind teacher Mrs. Brenda ❀️

Hi my pattern-hunting superstars! 🌟

Today we’re going deeper into patterns that grow (get bigger) and shrink (get smaller)! These patterns help us predict what comes next β€” just like plants growing or temperatures dropping in winter. Let’s become experts at spotting the rule! πŸš€

1. Growing Patterns (Getting Bigger!)

Numeric Example:
2, 5, 8, 11, 14, __
Rule: Add 3 each time β†’ Next number is 17
Multiplication Growing:
3, 6, 12, 24, 48, __
Rule: Multiply by 2 each time β†’ Next is 96
Geometric Growing:
▲  ▲▲  ▲▲▲  ▲▲▲▲  ...
Rule: Add 1 more triangle each time

2. Shrinking Patterns (Getting Smaller!)

Numeric Example:
50, 45, 40, 35, 30, __
Rule: Subtract 5 each time β†’ Next is 25
Division Shrinking:
64, 32, 16, 8, 4, __
Rule: Divide by 2 each time β†’ Next is 2
Geometric Shrinking:
⬛⬛⬛  ⬛⬛  ⬛  ...
Rule: Remove 1 square each time

3. How to Find the Pattern Rule

Look at the differences between numbers:

7, 11, 15, 19, 23 ...
Difference: +4, +4, +4, +4 β†’ Rule: Add 4

4. Let’s Practice Together! πŸŽ‰

Question 1:

What comes next? 4, 8, 12, 16, __

Rule: Add 4 β†’ 20 ⭐

Question 2:

What comes next? 80, 72, 64, 56, __

Rule: Subtract 8 β†’ 48 ⭐

Question 3:

What is the rule? 5, 10, 20, 40, 80...

Multiply by 2 each time ⭐

Question 4:

What comes next in this shape pattern?
β—‹ β—‹β—‹ β—‹β—‹β—‹ β—‹β—‹β—‹β—‹ __

β—‹β—‹β—‹β—‹β—‹ (5 circles) ⭐

Question 5 (Real Life):

A tree grows 8 cm every month. It is now 25 cm tall. How tall will it be after 4 more months?

Growing by 8 each month β†’ 25 + (8 Γ— 4) = 57 cm ⭐

6. Real Life in Canada πŸ‡¨πŸ‡¦

You are a Growing & Shrinking Pattern Expert! πŸ†

Fantastic job today! You can now identify, describe, and extend both growing and shrinking patterns.

Patterns are the foundation of algebra β€” you’re doing amazingly well!

I’m so proud of you,

Keep looking for patterns in nature and numbers around you,
Mrs. Brenda ❀️

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