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Extending Patterns

With your kind teacher Mrs. Brenda ❀️

Hi my amazing pattern detectives! 🌟

We’ve learned how to spot patterns. Now let’s become experts at extending them β€” that means finding what comes next (and next, and next!) by discovering the hidden rule. This is a very important algebra skill! Let’s practice together! πŸ”πŸš€

1. Extending Numeric Patterns

Example 1 (Growing):
7, 12, 17, 22, 27, __ , __
Rule: Add 5 each time
Next two numbers: 32, 37
Example 2 (Shrinking):
100, 92, 84, 76, __ , __
Rule: Subtract 8 each time
Next two numbers: 68, 60
Example 3 (Multiplication):
2, 6, 18, 54, __
Rule: Multiply by 3 each time
Next number: 162

2. Extending Geometric Patterns

Shape Pattern:
△  △△  △△△  △△△△  ...
Rule: Add one more triangle each time
Next: 5 triangles
Colour / Size Pattern:
Small red circle β†’ Big blue square β†’ Small red circle β†’ Big blue square β†’ ...
Next: Small red circle

3. Let’s Practice Together! πŸŽ‰

Question 1:

Extend the pattern: 5, 9, 13, 17, __ , __

Rule: Add 4 β†’ 21, 25 ⭐

Question 2:

What comes next? 80, 70, 60, 50, __ , __

Rule: Subtract 10 β†’ 40, 30 ⭐

Question 3:

Extend: 3, 6, 12, 24, __

Rule: Multiply by 2 β†’ 48 ⭐

Question 4:

Continue the shape pattern:
⬛ ⬛⬛ ⬛⬛⬛ __

⬛⬛⬛⬛ (4 squares) ⭐

Question 5 (Real Life):

A baby gains 2 kg every month. If the baby is 4 kg now, how much will the baby weigh after 5 more months?

Rule: Add 2 kg each month β†’ 4 + (2 Γ— 5) = 14 kg ⭐

6. Real Life in Canada πŸ‡¨πŸ‡¦

You are a Pattern Extending Champion! πŸ†

Great job today! You can now extend growing and shrinking patterns with confidence.

Extending patterns is a key skill for algebra and helps you predict what happens next in math and in life!

I’m so proud of you,

Keep hunting for patterns everywhere you go,
Mrs. Brenda ❀️

πŸ“ˆπŸ“‰πŸ”