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Features

  • A box of 50 dots beside a bigger set: circle the best of three estimates
  • Jars of beans: the same jar with a known number, or a jar filled to its 1/4 or 1/2 mark
  • Everyday referents: a stack of 100 sheets, a shelf of about 30 books, a row of seats
  • Write an estimate, with a range of good answers in the key
  • Judge a friend’s estimate: too low, about right or too high
  • One group of 25 or 50 looped inside a set: how many groups, so about how many
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Estimate an amount by comparing it with a known amount
  • Use referents of 25, 50, 100 and 200
  • Estimate from a jar filled to a fraction
  • Choose the best estimate and explain why the others are off
  • Write an estimate and check that it makes sense
  • Judge whether an estimate is too low, about right or too high

How to Use This Pack

Five pages on estimating amounts under 1,000 with a referent: an amount you already know. On page 1 each row has a box of 50 dots beside a bigger set of the same dots; students think about how many boxes would fit and circle the best of three estimates. Page 2 has jars of jelly beans: the same jar holding a known number, or one jar filled to its 1/4 or 1/2 mark. Page 3 uses everyday referents: a stack of 100 sheets of paper, one shelf of about 30 books and one row of seats. On page 4 students write their own estimate with a box of 100 or 25 dots, then decide whether a friend’s estimate is too low, about right or too high. On page 5 one group of 25 or 50 dots is looped inside the set: students estimate how many groups there are, then how many dots in all. The first problem on each page is done as an example, and the keys show how each estimate was found.

In the Classroom

Fill a small cup with 50 cubes or beans and count them together: this is your referent. Then show a bigger container and ask how many cups it would take to fill it. Write every estimate on the board and talk about which ones are reasonable and why. Count the big container afterwards in groups of 10 to check.

At Home

Count out 100 pieces of dry pasta or cereal into a cup with your child. Then estimate how many are in the whole box: about how many cups would it fill? Do the same with a stack of 100 sheets of paper and a full pack, or the books on one shelf and a whole bookcase.

Tips for Success

  • Look carefully at the referent first: how much space do its 50 dots take up?
  • Think about how many referents would fit in the bigger amount
  • Multiply or count on by the referent: 4 boxes of 50 is about 200
  • An estimate does not need to be exact, just close
  • A jar half full holds about half of a full jar

Estimating to 1,000 with a Referent

3rd Grade

Estimating big amounts by comparing them with an amount you already know. Students use boxes of 25, 50 and 100 dots, jars of beans, stacks of paper, shelves of books and rows of seats to choose and write estimates, and judge whether other estimates are too low, about right or too high.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Boxes of dots and jars of beans as referents
  • Paper, books and seats as everyday referents
  • Writing estimates and judging other estimates
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