# Fact Family Worksheets

This topic is great to help students enhance their problem-solving ability and on-their-feet thinking. Fact families are a series of three numbers that share a relationship of some kind through math operations that inverses or counters of one another. Specifically, the operations of addition and subtraction or multiplication and division. This topic really helps students begin to see patterns emerge between different operations. As a result, you will find that students will begin to develop mental math skills at a much faster rate. We encourage teachers to approach using both horizontal and vertical orientations when working with this. These worksheets help students learn their math facts and the operations that take place.

## Aligned Curriculum Standards: 1.OA.B, 1.OA.C.6, 3.OA.4

### Addition and Subtraction Math Facts

- Missing Math Fact Families- Which fact is missing from those listed?
- Fact Family Guess Worksheet 2 - You are now asked to create your own math fact with minimal help.
- Triangle Fact Family Terror Worksheet 3 - This is my favorite sheet in the series. It gives you just enough to get going.
- Put It All Together Worksheet 4 - This sheet really helps students get the concept.
- Fact Family Practice Pack - A triangle 5 pack for you. Make sure to grab the answers too.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

- Homework 1 - Circle the missing fact from each fact family.
- Homework 2 - I Know There Is One More...
- Homework 3 - Complete each family of facts.
- Homework 4 - We have seen this show before.
- Homework 5 - Fill in the blanks in each fact family.

### Practice Worksheets

- Practice 1 - Which are correct?
- Practice 2 - Finish It Off
- Practice 3 - Line Finisher Practice
- Practice 4 - What is missing here?

### Quizzes

- Quiz 1 - I wish you could bring it in with this one.
- Quiz 2 - What is missing here?
- Quiz 3 - Put It All Together
- Quiz 4 - Take the value from each box to complete the missing facts.

### Multiplication and Division Math Facts

- Triangle Divide and Conquer- It's time to consider quotients and products.
- Find the Fact Family Worksheet 2 - Which fact would complete the entire family?
- Filler Up Families Worksheet 3 - Use the other facts to help you determine what is missing.
- Math Fact Families Wall 4- Can you figure out just the last one?
- View Answer Keys- All the answer keys in one file.

### Homework Sheets

- Homework 1 - These are division and multiplication facts.
- Homework 2 - Product and Quotient Completer
- Homework 3 - Multiply & Divide
- Homework 4 - Circle up that fact.
- Homework 5 - Something odd is missing see if you can figure it out.
- Homework 6 - Put it all together here.

### Practice Worksheets

- Practice 1 - Triangle Fact Family
- Practice 2 - Another round, but different numbers are involved.
- Practice 3 - More missing facts.
- Practice 4 - Give it a circle.
- Practice 5 - I wish I knew what went in the box.
- Practice 6 - One more go around for you.

### Quizzes

- Quiz 1 - A nice way to quiz you.
- Quiz 2 - Fill in the blanks in each fact family.
- Quiz 3 - Which are right?
- Quiz 4 - More circles.

### What Are Fact Families?

There are many facts that we know, right? We know that the sun rises in the East, and we also know for a fact that all the planets revolve around the Sun. The statement that the Earth is curved is also a fact. When we combine all these facts together, they will form a small group. We have something very similar to that in mathematics as well. When you have a collection of addition and subtraction facts that are created by the same numbers, we call them fact families. This also holds true for numbers that have related multiplication and division facts. For example, 2,4 and 6: So, the fact family for addition and subtraction will be: 2 + 4 = 6 | 4 + 2 = 6 | 6 - 2 = 4 | 6 - 4 = 2. Suppose the numbers are 2,4, 8 : The equations for fact families will be: 2 x 4 = 8 | 4 x 2 = 8 | 8 ÷ 2 = 4 | 8 ÷ 4 = 2.

In math a fact family is a group of numbers that relate directly to each other on a base set of operations. In mathematics, if you find a series of three numbers appearing in four statements or facts, it is known as fact family. The numbers, in fact, families are identical in each of the four facts. You may also hear these referred to as number families.

There are two types of fact families. The first family is known as the addition and subtraction family. The second family is known as the multiplication and division family. These operators share an inverse relationship. This also goes to show us how these operations have a direct relationship with one another. When we start working with algebra and solving for unknown variables within an equation this skill is super valuable to remember. The concept of countering operations that are already present are what we are trying focus on here. When you take time to practice finding these values all on your own, you will find that your mental arithmetic skills will become greatly heightened.