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Math 7 U1-L2 Tools for Problem Solving

Estimation Strategy: Using Rounding

You don't always need the exact answer. You need one close enough to plan with, and you need it fast.

Teacher Notes

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Lesson Goal

Students will estimate sums and differences by rounding each number to a chosen place value, then working with the rounded numbers instead of the real ones. The skill is deciding which place value to round to and trusting the estimate as a check.

Key Concepts

Rounding looks at one digit only, the one immediately to the right of the place value being rounded. Under 5 rounds down, 5 or more rounds up. The same rule works on tens, hundreds, thousands or dollars.

Why This Comes Before The Real Answer

A rounded total tells you whether a real total is even in the right neighborhood. The fund-raising committee needed about $1,400 before Mark added a single real price, and the grocery total was checked the same way after the fact.

Where Students Get Stuck

Rounding several numbers to different place values in the same sum, rather than all to the same one, throws the estimate off. Watch for a student who rounds one price to the nearest ten and another to the nearest hundred in the same problem.

Teaching Suggestion

Hand him a real register receipt or a phone bill and ask him to round every line to the nearest dollar before checking the total. It's the same skill as the grocery example, on paper he can hold.

Key Vocabulary

Round
To change a number to the nearest ten, hundred, or other place value, using the digit next door as the tiebreaker.
Estimate
A fast answer close enough to plan with, found by rounding before adding, subtracting, or checking.
Reasonable
Close enough to your estimate that the real answer probably isn't a mistake.
Greatest Place Value
The leftmost digit's place, such as the hundreds or thousands, which most numbers round to first.
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Before You Start

The Words

The words this lesson uses. Tap a card to see what it means, then come back to them whenever a question uses one.

Part One

The Questions

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Questions about the story you just read. Pick your answer straight off, or press Find it in the story if you would rather hunt for the sentence first.

Part Two

Vocabulary Check

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The word cards are at the top of this page. Look back at them as often as you need, then answer.

When you finish: write the answers out in your own words — not copied word for word from the choices. Saying it your own way is the part that proves you understood it. Then use Print Answer Sheet for a one-page record of what was answered and scored.
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