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Math 7 U2-L3 Applications with Decimals

Estimating with Decimals

The screen says one thing and your head says another. A quick estimate tells you which one to trust.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to estimate with decimals by rounding, by clustering and by patterns, and use the estimate to decide whether an exact answer is reasonable.

None of the three tools is new. Rounding and patterns came in U1-L2 and U1-L3 with whole numbers, and this lesson carries them over to decimals.

Where Students Get Stuck

🚨 Students round every number to the nearest whole number out of habit. The book's rule is the greatest place value: 34.9 rounds to 30, not 35, when you're estimating a product.

Clustering only works when the numbers really do sit near one value. Six numbers between 27 and 35 cluster around 30; a list with 3 and 300 in it doesn't cluster at all.

Teaching Suggestion

Give the student a real receipt and a calculator. Have him estimate the total first, then check it, and talk about how close the two came.

Then deliberately mistype one price and see whether the estimate catches it. That's the whole reason for the lesson.

Key Vocabulary

Estimate
A quick, rounded answer that tells you roughly what the exact answer should be.
Clustering
Estimating a sum by treating numbers that all sit near one value as if they equal that value.
Greatest Place Value
The place of the first digit on the left, which is where you round to when you estimate.
Reasonable
Close enough to your estimate that the exact answer is probably right.
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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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