Fact family
Addition and subtraction fact families
Use six number triangles to write two additions and two subtractions per family. Choose first addends from 1–12; the other addend is from 1–9.
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Fact family worksheets
Read one triangle and connect four equations. Join parts and undo addition, or connect factors with a product and its exact divisions.
Find a worksheet3 + 5 = 85 + 3 = 88 − 5 = 38 − 3 = 5
Related facts
Connect parts and a whole
Use the same triangle for addition and subtraction. Choose the first addend, or narrow both addends for a focused lesson.
Fact family
Fact families with both addends selected
Choose at least three addends from 1–12 and use only those choices for both parts of six addition and subtraction triangles.
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Connect factors and a product
Use familiar arrays or equal groups to explain how two multiplications and two divisions share a relationship.
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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Build the parts before writing the equations
For teacher-led first practice, choose both addends from 1, 2 and 3 after the learner can compose and decompose quantities. Show the same whole being joined and separated. Reading and writing the symbols can follow the hands-on explanation.
Join and separate parts of 1, 2 and 3
Use counters with a teacher after composing and decomposing quantities is familiar. Both addends stay within 1–3 and sums within 2–6.
Open this small-parts preset →Choose the right kind of selection
Choose one or more first addends from 1–12. The other addend comes from 1–9, whether or not it is checked. Sums can reach 21. To restrict both addends, choose the separate both-addends activity.
Choose at least three different addends from 1–12. Both parts of every triangle come from that set, with doubles allowed. Sums can reach 24; the sum itself does not need to be selected.
Choose one or more first factors from 2–11. The other factor comes from 2–9, whether or not it is checked. Products can reach 99, and every division is exact.
Connect representations
Try a number bond or an array
A number bond makes the parts and whole visible before equation writing. An array shows equal groups and helps explain why turning the arrangement leaves the product unchanged.
Number bonds
Horizontal number bonds
Find one missing part in two-part equations with a fixed whole from 5 to 100, six equation layouts and up to 30 problems.
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Multiplication
Multiplication and division array facts
Use one rectangular array to write two multiplication equations and two related division equations.
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related facts
Keep the relationship while changing the operation
Every printable has six family panels and four equation rows per panel. The triangle gives the numbers; the learner completes the number boxes. Student and answer pages keep the same arrangement for easy checking.
- Read the triangleFind the whole or product at the top and its two parts or factors below.
- Swap the partsReverse the addends or factors to write the second addition or multiplication.
- Undo the operationStart with the whole or product for subtraction or division, then recover either part.