## Relating Addition and Subtraction (Fact Families)

#### Aligned To Common Core Standard:

**Grade 2 Base Ten** - 2.NBT.9

What Are Math Fact Families?
When studying number relationships, the fact family is a key concept. The concept of fact family is a technique that helps a child develop a strong understanding of basic addition and subtraction.
A group of three numbers where each of the members are related to each other through addition or subtraction is known as the fact family. These three numbers make up at least four math facts.
To understand the fact, families lets take the examples of the following three numbers; 4, 6, and 10.
When you add 4 and 6, you get a 10. You can apply commutative property here and get the same answer;

4+6 = 10 and 6+4 = 10

The addition here is the direct relationship between these numbers.
Subtracting 4 from 10 will give you a 6, and subtracting 6 from 10 will give you a four.

10 - 4 = 6 and 10 - 6 = 4

Subtraction here is the family cousin that fulfills the inverse property.
When a child begins to grasp the concept of fact families, addition and subtraction between simple digit become simple and easy.
Students can use these worksheets to learn the ins and outs of math fact families.

### Printable Worksheets And Lessons

- Step-by-step Lesson- Explore
math fact families for the first time. Look at the different properties
of operations.

- Fact Families
5 Pack- Who does and does not belong to these fact families?

- Guided Lesson
- This consists of three parts. Write a missing fact family and
find related fact families.

- Guided Lesson
Explanation - We look at how fact families are related and how
to determine all four family members.

- Practice Worksheet
- You are asked to write a related fact family for each of the equations.

- Matching Worksheet - Match the related fact families.

#### Homework Sheets

One sheet focuses on addition, another on subtraction, and then we combine them in the third sheet.

- Homework 1- Write a related addition fact for the fact family.
- Homework 2- Related subtraction facts use the same numbers and difference. To find the related subtraction fact, swap the numbers after the minus sign and equals sign.
- Homework 3- What fact is missing from this fact family?

#### Practice Worksheets

Make sure to read slowly. Some times kids now the skill, but get it wrong because they rush.

- Practice 1- What addition facts are missing?
- Practice 2- Write a related subtraction fact for the fact family.
- Practice 3- Find the final value of the following problem.