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Math 7 U1-L4 Tools for Problem Solving

Problem-Solving Strategy: Determine Reasonable Answers

A calculator gives you an answer instantly. It won't tell you if that answer is wrong.

Teacher Notes

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Lesson Goal

Students will use estimation to decide whether a calculated answer is reasonable, catching the kind of mistake a calculator itself cannot catch.

Key Concepts

Build a rough estimate the same way earlier lessons did, by rounding and using patterns, then compare it to the real answer. Close means reasonable; far off means something in the real calculation went wrong.

Where Students Get Stuck

Jordan's problem is the trap: the calculation itself was set up wrong, since 12 times $0.35 does not equal $42.00, and only the estimate catches it, because the calculator will confidently repeat any mistake it's given.

Teaching Suggestion

Type a wrong calculation into a calculator on purpose, in front of him, and have him estimate first to catch it before you reveal the calculator's answer.

Key Vocabulary

Reasonable
Close enough to your estimate that the answer is probably right, not a mistake.
Estimate
A quick, rounded answer used to test whether a real answer makes sense.
Calculator Error
A wrong answer caused by hitting the wrong key, entering a number wrong, or doing steps out of order, not by the calculator itself being wrong.
Check
Comparing a real answer against your estimate to catch a mistake before it goes any further.
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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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