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Features

  • Read a bar model, then write a number sentence for each step: multiply or divide first, then add or subtract
  • Draw a bar model for stories that add or subtract first, then multiply or divide
  • Circle the equation that matches a story, then write equations with a letter for the unknown, such as 6 × 9 + 15 = b
  • Round to the nearest ten to estimate, then decide whether a child's answer is reasonable
  • Solve mixed two-step stories, writing both steps
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Solve two-step stories with all four operations
  • Read and draw bar models for two-step stories
  • Write a number sentence for each step
  • Write one equation with a letter for the unknown
  • Round to the nearest ten to estimate
  • Decide whether an answer is reasonable

How to Use This Pack

Five pages of two-step story problems. On page 1 each story has a bar model with a ? for the answer: students multiply or divide first, then add or subtract, writing a number sentence for each step. Page 2 turns it around (add or subtract first, then multiply or divide), and students draw the bar model themselves. Page 3 is about equations with a letter for the unknown: circle the equation that matches a story, then write one equation for each story, such as (34 + 38) ÷ 9 = n, and solve it. On page 4 children have already given their answers: students round each number to the nearest ten, estimate, and circle Yes or No for whether the answer is reasonable. Page 5 mixes six two-step stories, with a line for each step. Pages 1 to 4 start with a worked example.

In the Classroom

Read a story from page 1 aloud and stop after the first two sentences: what can we find out already? Write that step, then read on. On page 3, ask why the equation for the apples needs parentheses and the one for the theater does not. On page 4, let partners argue for Yes or No before anyone works the exact answer, then check together.

At Home

Make two-step stories from the day: we have 3 packs of 6 juice boxes and drink 4, how many are left? Ask your child what to find first. When your child gives an answer, ask "about how much should it be?" and round the numbers together to check.

Tips for Success

  • Read the whole story, then find what it asks
  • Find the hidden question first: what do you need to know before you can answer?
  • Use the answer to Step 1 in Step 2
  • A letter can stand for the number you do not know: 6 × 9 + 15 = b
  • Multiply and divide before you add and subtract, unless parentheses say to do something first
  • Round to the nearest ten and estimate: is your answer close?

Common Core Standards Alignment

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

  • 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.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.

Two-Step Word Problems for 3rd Grade

3rd Grade

Story problems that take two steps, with all four operations: multiplying and dividing within 100, adding and subtracting within 1,000. Students read and draw bar models, write a number sentence for each step, write one equation with a letter for the unknown and estimate to check whether an answer is reasonable.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • 26 two-step stories, 5 of them worked examples
  • Bar models to read and to draw, a number sentence for each step
  • Equations with a letter, and estimating to check answers
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