Enter three related numbers and get a clean, printable fact family in seconds. Triangles, houses, and worksheets for addition, subtraction, multiplication, and division. Print for class or share digitally.
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The classic triangle format with the part numbers in the bottom corners and the whole at the top, listing all four related number sentences.
The house format with the three numbers on the roof and the related number sentences written inside the windows.
A clear addition and subtraction fact family showing how two parts and one whole connect through four related sentences.
A multiplication and division fact family showing two factors and one product connected through four related sentences.
A clean blank fact family triangle with empty corners and ruled lines, ready for students to fill in their own numbers and sentences.
A printable practice worksheet with multiple fact family triangles and blank lines for students to complete the number sentences.
Start with one of these examples, then adapt the subject, labels, data, or layout for your own use.
The classic triangle format with the part numbers in the bottom corners and the whole at the top, listing all four related number sentences.
Create a colorful fact family triangle for the numbers 2, 3, and 5. Place 5 at the top corner and 2 and 3 in the bottom corners, then list the four related sentences 2+3=5, 3+2=5, 5-2=3, and 5-3=2 below. Bold title. White background.
The house format with the three numbers on the roof and the related number sentences written inside the windows.
Create a colorful fact family house for the numbers 4, 6, and 10. Put 4, 6, and 10 on the roof and list the four related sentences 4+6=10, 6+4=10, 10-4=6, and 10-6=4 inside the house. Friendly classroom style. White background.
A clear addition and subtraction fact family showing how two parts and one whole connect through four related sentences.
Create a colorful addition and subtraction fact family for the numbers 7, 8, and 15. Show the four related sentences 7+8=15, 8+7=15, 15-7=8, and 15-8=7 in color-coded rows with a small triangle diagram at the top. White background.
A multiplication and division fact family showing two factors and one product connected through four related sentences.
Create a colorful multiplication and division fact family for the numbers 3, 4, and 12. Show the four related sentences 3x4=12, 4x3=12, 12 divided by 3=4, and 12 divided by 4=3 in color-coded rows with a small triangle diagram at the top. White background.
A fact family is a group of related number sentences that use the same set of numbers. For addition and subtraction, three numbers such as 2, 3, and 5 produce four facts: 2+3=5, 3+2=5, 5-2=3, and 5-3=2. For multiplication and division, three numbers such as 3, 4, and 12 produce 3x4=12, 4x3=12, 12 divided by 3=4, and 12 divided by 4=3. Fact families help students see how operations are connected and how addition undoes subtraction and multiplication undoes division. A fact family generator turns any set of three numbers into a clean, printable triangle, house, or worksheet in seconds.
The two most common fact family formats are the triangle and the house, and both show the same relationships in a slightly different way. In a triangle, the whole (the sum or the product) sits at the top corner and the two parts (the addends or the factors) sit in the bottom corners. Students slide their finger along the sides to read each related fact. In a house, all three numbers go on the roof and the four related number sentences are written inside, like family members living together. Younger students often find the house more friendly and concrete, while the triangle makes the part-whole relationship easier to see. Figviz can generate either format, so you can match the one your curriculum uses.
Yes. To generate a blank fact family template, describe the structure you want, for example "a blank fact family triangle with empty corners and ruled lines for the number sentences." Figviz will draw the triangle or house with empty number spaces and blank lines that students fill in by hand after printing, or annotate digitally in any PDF editor. Blank templates are ideal for guided practice, math centers, and timed drills, and you can print several copies so every student gets one.
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