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Fact Triangles: Multiplication and Division

Fact Triangles are similar to flashcards although they are a better way of showing and practicing fact families. Fact Families are sets of three numbers that can be divided or multiplied together and they help develop the understanding of the relationship between multiplication and division.

Working with the Fact Triangles

Cut along the lines to produce the triangles. This should give you twenty-seven triangles.

To practice multiplication, cover the largest number (the product) with your thumb and ask your child to say both multiplication facts.

To practice division, show the largest number and cover-up one of the others.
e.g. for a triangle showing 20 , 4 & 5 , cover the 5 and ask your child to tell what 20 ÷ 4 =

Spend a few minutes each day on these activities and try to make them as much fun as possible.

Guidance on Memorization of Basic Facts

  1. Before working on memorization, be sure that your child has an understanding of the concepts behind the facts.
  2. During drills, you should focus on memorizing. Do not explain answers and make sure your child knows that memorizing is the goal.
  3. Have short, daily sessions and combine memorizing a few new facts with a review of facts that have been memorized.
  4. Tell your child immediately if the answer is correct or incorrect.
  5. If an answer is incorrect, do not allow a second (or third, or fourth, or fifth!) attempt. Give the correct answer and repeat the question shortly afterwards.
  6. Schedule review sessions once all the facts are memorized.

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Multiple triangles for multiplication and division fact practice

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A Printable Math Resource - By HelpingWithMath.com

Related Resources

The Multiplication and division Flashcard shown above is aligned with standard 3OA07 taken from the Common Core Standards For Mathematics (see the extract below) as are the resources listed below.

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

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