🌟 Patterning and Algebra – Input-Output Tables 🌟

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

Today we are learning about **Input-Output Tables**! These are special tables that show how numbers change when we follow a rule. They help us find patterns and solve problems like little detectives!

📊 What is an Input-Output Table?

An Input-Output table shows:

The rule stays the same for every row!

🌟 Example Table

Input Output
2 8
3 12
4 16
5 20
Rule: Multiply the input by 4

🔍 How to Find the Rule

  1. Look at the first input and output
  2. Try adding, subtracting, multiplying, or dividing
  3. Check if the same rule works for all rows
  4. Write the rule clearly
Miss Brenda’s Tip: Start with multiplication or addition — they are the most common rules in Grade 4!

✏️ Let’s Practice Together, My Dear Student!

Practice 1: Find the Rule

InputOutput
16
211
316
Rule: Multiply by 5 then add 1 (or Input × 5 + 1)
Practice 2: Fill in the Missing Numbers

InputOutput
513
8___
___25
12___
Rule: Add 8 each time
Answers: 16, 17, 20
Practice 3: Word Problems (Canadian Style)

1. You buy hockey pucks. The table shows how many pucks you get for the money you spend.
Money ($)Pucks
36
510
816
Rule: Multiply money by 2 → How many pucks for $12? 24 pucks
Challenge Question

Input: 2, 4, 6, 8
Output: 5, 9, 13, 17
What is the rule? What is the output when input is 10?
Rule: Multiply by 2 then add 1 → Output for 10 = 21

Fantastic Job, My Dear Student! 🎉

You now understand Input-Output Tables very well! These tables help us see patterns and rules clearly.

I am so proud of you. Try making your own input-output table with your allowance or the number of steps you take each day!

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

When you are ready, tell me the next topic and I will create another beautiful lesson just for you!