🌟 Input-Output Tables 🌟

Hi my clever Grade 6 pattern explorers! 🌟

Today we’re learning about Input-Output Tables! These tables show how numbers change from the “input” (what goes in) to the “output” (what comes out). Finding the rule is like solving a fun mystery. Let’s become rule detectives together! 🕵️‍♀️

1. What is an Input-Output Table?

Input	Output
1	5
2	8
3	11
4	14

Rule: Multiply by 3 and then add 2

2. Common Types of Rules

Add a number: Input × 1 + 4
Multiply by a number: Input × 5
Multiply then add: Input × 3 + 2
Multiply then subtract: Input × 2 - 1

3. Let’s Practice Together! 🎉

Question 1:

Input: 2, 3, 4, 5 → Output: 7, 10, 13, 16
What is the rule?

Multiply by 3 and add 1 → Rule: ×3 + 1 ⭐

Question 2:

Input: 1, 2, 3, 4 → Output: 6, 12, 18, 24
What is the rule?

Multiply by 6 ⭐

Question 3:

What is the output when input is 6?
Input: 1 → 4
Input: 2 → 7
Input: 3 → 10
Input: 4 → 13

Rule: ×3 + 1 → 6 × 3 + 1 = 19 ⭐

Question 4:

Find the missing output:
Input | Output
5 | 17
6 | 20
7 | 23
8 | __

Rule: ×3 + 2 → 26 ⭐

Question 5 (Real Life):

A taxi charges $5 plus $2 per kilometre. Make an input-output table for 1 to 4 km and find the cost for 6 km.

Rule: ×2 + 5
6 km = $17 ⭐

6. Real Life in Canada 🇨🇦

Taxi or Uber fares
Cell phone plans with fixed fee + per GB
Plant growth (height each week)
Bank savings with monthly deposit
Hockey practice: push-ups increasing each day

You are an Input-Output Table Expert! 🏆

Amazing work today! You can now find rules and complete input-output tables.

This is a very important step toward algebra.

I’m so proud of you!

Look for input-output rules in prices, growth, and games,
Mrs. Brenda ❤️

📋🔢✨