What is a Fact Family for 6?

S0-SA1-1308

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A fact family for a number like 6 is a group of four related math facts (two addition and two subtraction) that use the same three numbers. These three numbers show how they are connected through addition and subtraction operations.

Simple Example

Quick Example

Imagine you have 6 ladoos. You can split them into two groups, say 2 ladoos and 4 ladoos. The fact family for 6 using these numbers would be: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2.

Worked Example

Step-by-Step

Let's find the fact family for 6 using the numbers 1 and 5.
1. Identify the three numbers: The total is 6, and the parts are 1 and 5.
---
2. Write the first addition fact: Add the two smaller numbers to get the total. So, 1 + 5 = 6.
---
3. Write the second addition fact: Flip the order of the smaller numbers. So, 5 + 1 = 6.
---
4. Write the first subtraction fact: Start with the total and subtract one of the smaller numbers. So, 6 - 1 = 5.
---
5. Write the second subtraction fact: Start with the total and subtract the other smaller number. So, 6 - 5 = 1.
---
Answer: The fact family for 6 using 1 and 5 is: 1 + 5 = 6, 5 + 1 = 6, 6 - 1 = 5, and 6 - 5 = 1.

Why It Matters

Understanding fact families helps you see the relationship between addition and subtraction, which is super useful in daily life. It's like knowing that if you have 6 items and take away 2, you're left with 4. This skill is crucial for careers in retail management (managing inventory), finance (calculating transactions), and even engineering (balancing equations).

Common Mistakes

MISTAKE: Using numbers that don't add up to the total (e.g., for 6, using 2, 3, and 6, where 2+3=5, not 6). | CORRECTION: Always ensure the two smaller numbers add up to the largest number in the family.

MISTAKE: Writing only two facts instead of four (e.g., only 2+4=6 and 6-2=4). | CORRECTION: Remember, a complete fact family usually has two addition facts and two subtraction facts.

MISTAKE: Confusing the order in subtraction (e.g., for 6-2=4, writing 2-6=4). | CORRECTION: In subtraction, always start with the largest number (the total) and subtract one of the parts.

Practice Questions

Try It Yourself

QUESTION: Write the fact family for 6 using the numbers 3 and 3. | ANSWER: 3 + 3 = 6, 6 - 3 = 3

QUESTION: If you know 6 - 4 = 2, what are the other three facts in this family? | ANSWER: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4

QUESTION: A vegetable seller had 6 kg of potatoes. He sold some and was left with 1 kg. Write the fact family that shows how many kilograms he sold. | ANSWER: The numbers are 6, 1, and 5. The fact family is: 1 + 5 = 6, 5 + 1 = 6, 6 - 1 = 5, 6 - 5 = 1. He sold 5 kg.

MCQ

Quick Quiz

Which of these is NOT part of the fact family for 6 using numbers 2 and 4?

2 + 4 = 6

6 - 2 = 4

4 - 2 = 6

4 + 2 = 6

The Correct Answer Is:

Option C, '4 - 2 = 6', is incorrect because 4 minus 2 equals 2, not 6. The other options are correct facts within the family of 2, 4, and 6.

Real World Connection

In the Real World

Fact families are like understanding how money works! If you have 6 rupees and buy a chai for 2 rupees, you know you have 4 rupees left. Or, if you collect 2 cricket cards today and already had 4, you now have 6. It's the basic math logic used in budgeting your pocket money, splitting bills with friends, or even managing inventory in a small shop.

Key Vocabulary

Key Terms

FACT FAMILY: A group of four related math facts using three numbers | ADDITION: Combining numbers to find a total | SUBTRACTION: Taking away one number from another to find the difference | SUM: The result of addition | DIFFERENCE: The result of subtraction

What's Next

What to Learn Next

Great job understanding fact families! Next, you can explore fact families for other numbers like 7, 8, or even 10. This will strengthen your number sense and prepare you for more complex addition and subtraction problems.