🌟 Patterning and Algebra – Pattern Rules 🌟

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

Today we are learning about **Pattern Rules**! A pattern rule tells us exactly how the pattern works so we can continue it forever. It’s like a secret code for the pattern!

πŸ“ What is a Pattern Rule?

A pattern rule has two parts:

Example: Start at 5, add 4 each time.

✍️ How to Write Clear Pattern Rules

Good Rule Examples:

β€’ Start with 3, add 5 each time
β€’ Start with 20, subtract 2 each time
β€’ Start with 2, multiply by 3 each time

πŸ“Š Using Input/Output Tables

These tables help us see the rule clearly.

Input β†’ Output Table

Input | Output
1 | 6
2 | 11
3 | 16
4 | 21

Rule: Start at 1, add 5 each time (or Output = Input Γ— 5 + 1)

✏️ Let’s Practice Together, My Dear Student!

Practice 1: Write the Rule

1. 7, 12, 17, 22, 27 ...
Rule: Start at 7, add 5 each time

2. 40, 36, 32, 28, 24 ...
Rule: Start at 40, subtract 4 each time
Practice 2: Complete the Table

Input | Output
2 | 8
3 | 12
4 | ___
5 | ___

Rule: Multiply by 4 β†’ 16, 20
Practice 3: Word Problems (Canadian Style)

1. You earn $6 allowance every week. Write a pattern rule for your total money after each week.
Rule: Start at 0, add 6 each week

2. The temperature starts at 15Β°C and drops 3 degrees every hour. Write the rule and what it will be after 6 hours.
Rule: Start at 15, subtract 3 each hour β†’ After 6 hours: 15 - 18 = -3Β°C
Challenge Question

The pattern is 5, 10, 20, 40, 80 ... Write the rule using multiplication.
Rule: Start at 5, multiply by 2 each time

Fantastic Job, My Dear Student! πŸŽ‰

You now understand Pattern Rules very well! Writing clear rules helps us predict numbers far into the future.

I am so proud of you. Try making your own pattern rule today and ask a family member to continue it!

πŸ’• You are smart. You are kind. You can do hard things.

When you are ready, tell me the next topic (Algebraic Expressions, Equations, or anything else) and I will create another beautiful lesson just for you!