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Features

  • Write all four facts for each fact triangle
  • Write two × facts and two ÷ facts for an array, and see why a square array has only two
  • Divide by thinking of multiplication: 42 ÷ 6 = 7 because 7 × 6 = 42
  • Divide with a times row from 1 × 6 to 10 × 6
  • Find the missing number in 24 equations such as 7 × □ = 56 and 5 = □ ÷ 10
  • Cross out the fact that does not belong, and finish a family from one fact
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Write the four facts of a fact family
  • Write facts from an array
  • Know why a square family has two facts
  • Divide by thinking of a multiplication fact
  • Find a missing number in a × or ÷ equation
  • Tell which fact belongs in a family

How to Use This Pack

Five pages on fact families, with factors from 2 to 10. Page 1 has six fact triangles with the product at the top and the factors at the bottom: students write the two multiplication facts and the two division facts. Page 2 shows an array of dots for each family, such as 3 rows of 5, to write two × facts and two ÷ facts; the last array is square, 7 rows of 7, and its family has only two facts. Page 3 turns division into a missing factor: 42 ÷ 6 = 7 because 7 × 6 = 42, then two times rows (1 × 6 to 10 × 6, and the 9s) to find a number in and read the quotient from. Page 4 has 24 equations with the missing number in every place, such as 7 × □ = 56, □ ÷ 4 = 9 and 28 = □ × 4. On page 5 students cross out the fact that does not belong in a family and write the one that is missing, then write the rest of a family from one fact. Each page starts with a worked example.

In the Classroom

Make fact triangle cards: cover one corner with a thumb and ask a partner for the hidden number, then for the fact that finds it. Build a 3 by 5 array with counters and turn it a quarter turn: the facts stay in the same family. Before page 4, read 28 = □ × 4 aloud as "28 is how many fours?" so students see the equal sign works both ways.

At Home

Pick a fact, such as 6 × 8 = 48, and ask for the other three facts in its family at dinner or in the car. Then ask a division question with the same numbers, like how many 8s make 48, and let your child find it by thinking of the multiplication.

Tips for Success

  • A fact family uses the same three numbers in every fact
  • The product is the biggest number; it comes first in each division fact
  • To divide, ask what times the divisor makes the dividend
  • A square number like 49 has only two facts: 7 × 7 = 49 and 49 ÷ 7 = 7
  • The missing number can be anywhere, even before the equal sign

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 3.OA.A.4 Solve for the missing number in multiplying or dividing equations, such as 7 × ? = 42 or ? ÷ 3 = 6.
  • 3.OA.B.6 Treat division as finding a missing factor: solve 35 ÷ 5 by asking what times 5 equals 35.
  • 3.OA.C.7 Multiply and divide to 100 fluently with strategies, and by year's end instantly recall every product of two single-digit numbers.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Multiplication and Division Fact Families

3rd Grade

How multiplication and division facts belong together in families, with every fact within 10 × 10. Students write the facts for fact triangles and arrays, divide by thinking of a multiplication fact, find missing numbers anywhere in an equation and fix families with a fact that does not belong.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Fact triangles and arrays, with a square family
  • Dividing by thinking of multiplication, and dividing with a times row
  • 24 missing number equations, and families to fix and finish
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