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Features

  • One fact family a page: 3s, 4s, 6s, 7s, 8s and 9s
  • A worked example on each page with an array split into facts students know
  • 3s: 2 groups and 1 more group; 6s: 5 groups and 1 more group
  • 4s: double the 2s; 8s: double the 4s
  • 7s: break 7 apart into 5 and 2
  • 9s: 10 groups take away 1 group, and the 9s pattern
  • Fill in the strategy steps on four arrays, then practice the facts
  • Divide by thinking of the times fact
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Multiply by 3 and 6 by adding one more group to a fact you know
  • Multiply by 4 and 8 by doubling
  • Multiply by 7 by breaking 7 apart into 5 and 2
  • Multiply by 9 by taking 1 group away from 10 groups
  • Find the pattern in the 9s
  • Divide by thinking of the times fact

How to Use This Pack

Six pages, one a fact family, each built the same way. At the top a worked example shows the fact as an array split into facts students already know, with the steps written out: 3 × 3 is 2 × 3 = 6, then 6 + 3 = 9. Under it are four arrays to do the same way by filling in the steps, then six facts from the family to multiply and six division facts, each written with the times fact that goes with it (24 ÷ 3 = 8 and 3 × 8 = 24). Page 1 is the 3s (2 groups and 1 more group), page 2 the 4s (double the 2s), page 3 the 6s (5 groups and 1 more group), page 4 the 7s (5 groups and 2 groups), page 5 the 8s (double the 4s) and page 6 the 9s (10 groups take away 1 group), where counting by 9s shows the pattern in the digits.

In the Classroom

Build the example array with counters or on grid paper and cover part of it with a sheet of paper: what fact do you see now? Then uncover the rest. Take one family a day, as the lessons do, and keep the sheets in a folder so students can look back at the strategy for a fact they forget.

At Home

Ask for a fact, then ask how your child worked it out: 6 × 3 is 5 × 3 = 15 and 3 more, 18. Draw dots in rows on scrap paper and split them with a line, or use rows of coins or cereal.

Tips for Success

  • Start from a fact you know: the 2s, 5s and 10s are the helpers
  • For 3s and 6s, add one more group to the 2s or 5s fact
  • For 4s and 8s, double the 2s or the 4s fact
  • For 7s, add the 5s fact and the 2s fact
  • For 9s, take one group away from the 10s fact: 9 × 4 = 40 − 4
  • To divide, think of the times fact: 24 ÷ 6 is 4 because 6 × 4 = 24

Common Core Standards Alignment

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

  • 3.OA.B.5 Use the commutative, associative and distributive properties to multiply and divide, such as finding 7 × 8 from 7 × 5 and 7 × 3.
  • 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.
  • 3.MD.C.7c Use tiles or area models to show that splitting a rectangle's side into two parts splits its area into two products (the distributive property).

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

Multiplication Fact Strategies

3rd Grade

The 3s, 4s, 6s, 7s, 8s and 9s facts, one family at a time, each with a strategy that starts from a fact students already know. Students follow a worked example on an array, fill in the strategy steps on four more arrays, practice the facts and divide by thinking of the times fact.

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What’s Included

  • 6 worksheets in color and in black and white, with answer keys (18 pages)
  • A worked example and four arrays a page for the 3s, 4s, 6s, 7s, 8s and 9s
  • Facts to practice and division with the times fact that goes with it
  • The 9s pattern
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