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Fact Families

This educational guide provides insights into fact families for addition and multiplication, helping learners grasp the relationships between numbers. It explains key definitions, such as addend and multiplicand, and illustrates how to find fact families through simple operations. Each example includes four members of a fact family derived from given addition or multiplication facts. By exploring these concepts, students will enhance their understanding of inverse operations and the connections between addition and subtraction as well as multiplication and division.

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Fact Families

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  1. Fact Families By Monica Yuskaitis

  2. Definitions • Addend - Any number being added. • 6 + 5 = 11 • Inverse Operation - An opposite operation that undoes another. • 5 + 4 = 9 9 - 5 = 4

  3. Addition/Subtraction Fact Families are found by: • Starting with a simple addition fact. ( 2 + 5 = 7) • Changing the addends around. • (5 + 2 = 7) • Writing the Inverse operations for both. • (7 - 2 = 5 & 7 - 5 = 2)

  4. What are the 4 members of the Fact Family of 3 + 4 = 7? • 3 + 4 = 7 • 4 + 3 = 7 • 7 - 3 = 4 • 7 - 4 = 3

  5. What are the 4 members of the Fact Family of 8 + 1 = 9? • 8 + 1 = 9 • 1 + 8 = 9 • 9 - 8 = 1 • 9 - 1 = 8

  6. What are the 4 members of the Fact Family of 11 + 5 = 16? • 11 + 5 = 16 • 5 + 11 = 16 • 16 - 11 = 5 • 16 - 5 = 11

  7. What are the 4 members of the Fact Family of 9 + 7 = 16? • 9 + 7 = 16 • 7 + 9 = 16 • 16 - 9 = 7 • 16 - 7 = 9

  8. What are the 4 members of the Fact Family of 12 + 7 = 19? • 12 + 7 = 19 • 7 + 12 = 19 • 19 - 12 = 7 • 19 - 7 = 12

  9. Definitions • Multiplicand - The numbers being multiplied. • 4 x 8 = 32 • Inverse Operation - An opposite operation that undoes another. • 4 x 8 = 32 32 / 4 = 8

  10. Multiplication/Division Fact Families are found by: • Starting with a simple multiplication fact. ( 3 x 9 = 27) • Changing the multiplicands around. • (9 x 3 = 27) • Writing the Inverse operations for both. • (27 / 3 = 9 & 27 / 9 = 3)

  11. What are the 4 members of the Fact Family of 3 x 7 = 21? • 3 x 7 = 21 • 7 x 3 = 21 • 21 / 3 = 7 • 21 / 7 = 3

  12. What are the 4 members of the Fact Family of 6 x 4 = 24? • 6 x 4 = 24 • 4 x 6 = 24 • 24 / 6 = 4 • 24 / 4 = 6

  13. What are the 4 members of the Fact Family of 7 x 8 = 56? • 7 x 8 = 56 • 8 x 7 = 56 • 56 / 7 = 8 • 56 / 8 = 7

  14. What are the 4 members of the Fact Family of 9 x 7 = 63? • 9 x 7 = 63 • 7 x 9 = 63 • 63 / 9 = 7 • 63 / 7 = 9

  15. What are the 4 members of the Fact Family of 6 x 7 = 42? • 6 x 7 = 42 • 7 x 6 = 42 • 42 /6 = 7 • 42 / 7 = 6

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