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Features

  • Eight sections of a class newspaper on 13 pages, each a different kind of activity
  • Read 24 = 3 × 8 two ways, with a tape diagram for each
  • The Ken and Mark money problem worked step by step, with the total
  • Times as many and more than side by side with the same numbers
  • Missing bigger amounts, smaller amounts and multipliers, with equations using a letter
  • Classroom news articles to log comparison phrases, plus a field assignment for phrases from real reading
  • A fact-check desk: check claims, repair a graphic, prove claims with a model and write headlines
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Read a multiplication equation as a comparison
  • Tell times as many from more than or fewer than
  • Draw tape diagrams with equal units
  • Find the bigger amount, the smaller amount or the multiplier
  • Write equations with a letter for the unknown
  • Solve two-step comparison problems and explain them

How to Use This Pack

Eight sections of a class newspaper called The Comparison Times, on 13 pages, each built around one question: how does a model help you solve a comparison problem? Page 1 (Headline Hunt) has six news briefs: students underline the comparison, decide whether it is times as many or more or fewer, and write an equation. Pages 2 and 3 (The Equation Desk) read 24 = 3 × 8 two ways, as 24 is 3 times as many as 8 and as 24 is 8 times as many as 3, with a tape diagram for each, then caption news graphics and decide which sentence fits a story. Pages 4 and 5 (Money Matters) are the problem Ken has $5, Mark has 3 times as much, step by step from bills to a tape diagram to 3 × 5 and the total, then two problems to try. Pages 6 and 7 (Diagram Detective) match stories to models, explain a wrong model, finish a model and draw models from scratch. Page 8 (Missing Number Bureau) keeps one story and hides a different number each time, so students see why division solves two of them. Page 9 pairs stories with the same numbers, one more than and one times as many. Pages 10 and 11 (Reporter’s Notebook) have two classroom articles to log and solve, then a page for phrases from real books, magazines and news and a news brief of the student’s own. Pages 12 and 13 (The Fact-Check Desk) are a memo from the editor: check two claims, repair a graphic, prove two more claims and write two true headlines.

In the Classroom

Start with page 4 and real or play money: hand one student a $5 bill and another three, and ask who has 3 times as much. Draw the same thing as a tape diagram on the board, Ken’s one box under Mark’s three. Use pages 2, 3 and 9 for partner talk: one partner reads a sentence, the other says what is compared to what. Pages 12 and 13 make a good challenge at the end of the unit.

At Home

Look for comparisons together in a newspaper, a sports page or a recipe: twice as many, 3 more than, 5 times as long. Ask your child which amount is being compared to which, and whether it is “more than” or “times as many.” Then make up a question each phrase could answer.

Tips for Success

  • Ask which amount is the one the other is compared to before solving
  • Times as many: the bigger amount is equal units the size of the smaller one
  • More than: the bigger amount is the smaller one plus a piece
  • The operation depends on which number is missing, not on the key words
  • Check that the bigger amount is still the bigger one in the answer

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.
  • 4.OA.A.1 Read a multiplication equation as a comparison (24 = 3 × 8: 24 is 3 times as many as 8) and write comparisons as equations.
  • 4.OA.A.2 Multiply or divide to solve story problems that compare amounts (times as many), using drawings and equations, and tell them apart from comparing by adding.
  • 4.OA.A.3 Solve multi-step story problems with whole numbers and all four operations, deciding what remainders mean, writing equations with a letter, and checking by estimating.

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

The Comparison Times: Multiplicative Comparison

4th Grade

A newspaper-themed collection about comparison problems: times as many, more than and fewer than, and how a model shows the difference. Students read headlines and articles, draw tape diagrams, find the bigger amount, the smaller amount or the multiplier, fact-check reporters’ claims and explain their thinking.

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What’s Included

  • 13 worksheets in color and in black and white, with answer keys
  • Support pages (1-5), on-level pages (6-11) and challenge pages (12-13)
  • Every section works on its own
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