Fact family
Multiplication and division fact families
Connect two multiplication facts with two exact divisions in each of six triangles. Choose first factors from 2–11; the other factor is from 2–9.
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Multiplication and division family flash cards
Connect factors, products and exact divisions in complete triangle decks through a larger factor of 9 or 12.
Ready-made English PDF · fixed settings
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Cards with references
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Fixed English ready-made files. Custom settings below apply only to the configured PDF.
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Read both factors and their product. State two multiplication facts and two divisions, then check the reference card.
77 cards on 20 pages in the default deck. The image shows its first page. Adding the reference set produces 40 PDF pages in total.
The complete set contains 44 cards through factor 9 or 77 through factor 12. Products can reach 144 in the larger deck.
The ready-made image shows page 1; each PDF contains the full deck. Cards with references adds a separate complete set with answers or annotations. These are not mirrored duplex backs and make no front/back alignment promise. Print at actual size and cut along the optional guides.
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Fixed decks keep every card when density changes. Ordered fixed decks ignore the seed; choose Shuffled to use the seed for a different order. Time, number and money-amount decks generate a count from pages × density and can contain repeats.
Learning objective
What this activity builds
Explain multiplication and division as inverse relationships using the same factors and product.
Worked example
Which four equations connect 3, 4 and 12?
3 × 4 = 12; 4 × 3 = 12; 12 ÷ 4 = 3; 12 ÷ 3 = 4.
Changing factor order keeps the product. Dividing that product by either factor recovers the other.
Teaching notes
Make the practice count
- Factor 1 and equal-factor families are included; the pair 1 and 1 is excluded. Larger factors run from 2 to the chosen endpoint.
- Doubles intentionally repeat equivalent equations in the four-fact reference.
- The six-triangle worksheet offers a smaller written task; this card activity prints the complete selected deck.
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Customize the full deck
Choose your options and review every card page. Reference cards are a separate optional set.
Enlarged pages scroll. PDF size stays the same.
The preview shows the complete set for the selected role. Reference cards form a separate annotated set, not mirrored duplex backs. Density and paper determine the sheet layout.
A useful next step
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Multiplication and division array facts
Use one rectangular array to write two multiplication equations and two related division equations.
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Flash cards
Division flash cards
Practice exact divisions by one fixed divisor from 1–12. Quotients cover every value from 1 through 9 or 12.
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