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Features

  • Solve equal groups stories with pictures and with drawings of your own
  • Solve array stories about rows of cupcakes, stickers, carrots and oranges
  • Share equally or make equal groups in division stories
  • Write an equation with ? for the product, the group size or the number of groups
  • Multiply or divide with centimeters, liters, kilograms and dollars
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Solve equal groups and array stories within 100
  • Tell sharing (how many in each group) from grouping (how many groups)
  • Write a multiplication or division sentence for a story
  • Use ? for the unknown number in any place of an equation
  • Solve stories about lengths, liquid volumes, masses and money
  • Draw equal groups, arrays and bar models

How to Use This Pack

Five pages of story problems that multiply and divide within 100. Page 1 is equal groups: the first two stories show the bags and boxes, and in the others students draw the groups, then write a multiplication sentence such as 4 × 5 = 20. Page 2 is arrays: read rows of cupcakes and stickers, then draw arrays of carrots and oranges. Page 3 divides: some stories share things out equally (how many in each group?) and some make groups of a size (how many groups?); students draw the groups and write a division sentence. On page 4 the unknown moves: students draw a bar model and write an equation with a ? for the product, the number in each group or the number of groups, such as 4 × ? = 36. Page 5 has six measurement stories with centimeters, liters, kilograms and dollars, where students choose whether to multiply or divide and write the sign themselves. Every page starts with a worked example.

In the Classroom

Act out a story from page 3 with counters before anyone writes: deal 12 counters to 3 students one at a time, then make bags of 3 from another 12. Ask what was the same and what was different, and which number the answer tells. On page 4, ask two students to write different equations for the same story (4 × ? = 36 and 36 ÷ 4 = ?) and talk about why both are right.

At Home

Make up stories at the table: 3 plates with 4 grapes each, 20 crackers shared by 4 people, 18 socks put in pairs. Ask your child to say the multiplication or division sentence first, then solve it. Turn one around: if we know there are 24 in all and 4 plates, how many on each plate?

Tips for Success

  • Find what the story asks: how many in all, how many in each group, or how many groups?
  • Equal groups: the number of groups times the number in each group is the total
  • Arrays: rows times the number in each row
  • Sharing and grouping are both division
  • Write ? where the number you do not know goes, then solve
  • Write the unit with the answer: centimeters, liters, kilograms or dollars

Common Core Standards Alignment

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

  • 3.OA.A.1 Understand a product as the total in equal groups, such as 4 × 6 meaning 4 groups with 6 in each.
  • 3.OA.A.3 Solve story problems about equal groups, arrays and measurements by multiplying or dividing within 100, using drawings and equations.
  • 3.OA.A.4 Solve for the missing number in multiplying or dividing equations, such as 7 × ? = 42 or ? ÷ 3 = 6.
  • 3.OA.D.8 Solve two-step story problems with +, −, × and ÷, using a letter for the missing amount, and check answers by estimating or rounding.

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

Multiplication and Division Word Problems

3rd Grade

Story problems that multiply and divide within 100, with equal groups, arrays and measurements. Students draw groups and arrays, write multiplication and division sentences, use a question mark for the unknown number and solve stories about lengths, liters, kilograms and dollars.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • 22 story problems with × and ÷ within 100, 5 of them worked examples
  • Equal groups, arrays, sharing and grouping, and bar models to draw
  • Equations with ? for the unknown, and measurement stories
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