Instructions
In this worksheet, you will explore different ways to represent a whole number as the sum of smaller numbers. This will help you understand addition better and discover interesting patterns in numbers.
Exercise 1: Find All the Ways to Add Up to Each Number
For the following whole numbers, list all the different combinations of positive integers that add up to the given number. For example, if the number is 4, you can write (1 + 1 + 1 + 1), (1 + 1 + 2), (2 + 2), etc.
1. The number 4:
2. The number 5:
3. The number 6:
4. The number 7:
5. The number 8:
Exercise 2: Patterns in Addition
Look at the combinations you wrote down for the numbers 4 to 8. Can you find any patterns in how the combinations are structured? Write your observations below:
Exercise 3: Challenge - Creating Your Own Number
Choose a whole number between 9 and 12. Write down at least five different combinations of numbers that add up to your chosen number.
Chosen Number:Your Combinations:
Reflection
What did you learn from this exercise about addition and whole numbers? Write a few sentences below: