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Math 7 U1-L5 Tools for Problem Solving

Problem-Solving Strategy: Choose the Method of Computation

Before you work anything out, you have to pick how. Sometimes the fastest correct move is not to calculate at all.

Teacher Notes

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Lesson Goal

Students will learn to understand a word problem before calculating. They should ask: what am I trying to find? Do I need an exact answer, or is an estimate enough? Then they can choose a useful method: estimation, mental math, paper and pencil, or a calculator.

Key Concepts

The main idea is simple: think first, then calculate. The situation determines what kind of answer is needed.

If a close answer is enough, students can round and estimate. If the answer must be exact, students should look at the numbers. Easy numbers may be solved with mental math. Problems with several steps or regrouping may be easier on paper. Long or complicated calculations may be easier with a calculator.

The method is a tool, not a rule. Students are learning to choose a tool that fits the problem.

Where Students Get Stuck

๐Ÿšจ Students may begin calculating as soon as they see numbers. Slow them down. Ask: what does the problem actually want to know?

Students may also think that estimation means guessing. Remind them that an estimate is a reasonable answer based on the numbers.

They may also assume that money always requires an exact answer. It depends on the situation. Estimating whether you have enough money is different from finding the exact change you should receive.

Teaching Suggestion

Use one situation and change the question. For example: four notebooks cost 98 cents each, and you have $5. Do you have enough? Round up, $1 times 4 is $4, and an estimate answers the question.

Then ask: you paid with $5, so exactly how much money should you have left? Now the student needs an exact answer. This helps students see that the same numbers can require different methods depending on what they need to know.

Connect this idea to Luke 14:28. Jesus used the example of a man who first sat down and counted the cost before building a tower. The lesson is not that Jesus was teaching arithmetic, but the example reinforces a useful habit: understand what you are doing before you begin.

Key Vocabulary

Computation
The process of using math to find an answer.
Method
A way of doing something.
Mental Math
Solving a math problem in your head without writing out the steps.
Estimate
A reasonable answer that is close to the exact answer.
Exact Answer
The precise answer to a problem, without rounding.
Paper and Pencil
Writing out the math so you can keep track of each step.
Calculator
A tool that performs calculations. You still have to decide what calculation to use.
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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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