Fact Families

Related Topics:
First Grade
Common Core for Grade 1
Math Worksheets

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Videos, examples, solutions, and songs to help Kindergarten and Grade 1 kids learn the Fact Families.

Fact Families will help students to apply properties of operations as strategies to add and subtract.

If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.)
To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

Understand subtraction as an unknown-addend problem.
For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.

Common Core: 1.OA.4

Learning Targets:

  • I can use properties of operations to add and subtract.
  • I can give an example and explain how a subtraction equation can be rewritten as an addition equation.
  • I can rewrite a subtraction equation as an addition equation with a missing addend.
  • I can connect addition to subtraction (Inverse Operation)
  • I can apply the strategy to think addition rather than take away:
    Rather than 9 - 6 = ___ ask how many would you add to six to equal nine?
  • I can use concrete models with manipulatives to find the unknown

The following diagram shows an example of fact family using fact triangles, part-part-whole and number bond. Scroll down the page for more examples and solutions.
Fact Family

Fact Family, Fact Triangle and Number Bond

Fact Families and Fact Triangles
How to solving addition and subtraction fact families when all three numbers are given?
How to solving addition and subtraction fact families when there is a missing addend or sum?
13, 8 and 5;
11, 7 and 4;
16, 9 and 7.

Break the total into parts. Write a number bond and addition and subtraction number sentences to match the story.
Fact Family

  1. Rachel and Lucy are playing with 5 trucks. If Rachel is playing with 2 of them, how many is Lucy playing with?

  2. Jane caught 9 fish at the end of the day. She caught 7 fish before she ate lunch. How many fish did she catch after lunch?

  3. Dad bought 6 shirts. The next day he returned some of them. Now he has 2 shirts. How many shirts did Dad return?

Fact Family using Part-Part Whole Model
3, 4, and 7 (Addition and subtraction).

Fact Family Song
This song helps children understand fact family for addition and subtraction.

Fact Families and Fact Triangles
Learn about fact families and fact triangles for subtraction.

  1. Write a fact family for the group of numbers.
    8, 7, 15
  2. Complete the Fact Triangle and write the fact family.

Want to help your first grade child with their math lessons?
Teach your child the fact families.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

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