Open Number Line Subtraction

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Questions and Answers

What strategy is suggested to verify the answer to a subtraction problem when using an open number line?

  • Adding the difference to the number being subtracted. (correct)
  • Dividing the larger number by the smaller number.
  • Subtracting the result from the original number.
  • Multiplying the two original numbers together.

When using an open number line to solve 382 247, counting back from 382 is the only possible strategy.

False (B)

Explain one advantage of using an open number line to solve subtraction problems.

It allows for flexible jumps or increments, such as adding or subtracting tens or hundreds at a time, making mental calculation easier.

To find 573 - 459 using an open number line, start at 459 and add up to reach ______.

<p>573</p>
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Match the following terms with their corresponding descriptions:

<p>Minuend = The number from which another number is subtracted. Subtrahend = The number that is being subtracted. Difference = The result of subtracting one number from another. Open Number Line = A visual tool used for addition and subtraction showing flexible jumps.</p>
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When solving 672 - 547 using an open number line, which of the following is a reasonable first step?

<p>Subtract 500 from 672. (B)</p>
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According to the image, open number lines can be used for subtraction, but not for addition.

<p>False (B)</p>
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What does the 'Convince Me!' prompt ask you to do?

<p>It asks to provide another way to add up to find 382 - 247.</p>
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In problem 6, to complete the sentences using each word below once, you need to start at the ______ you are subtracting.

<p>number</p>
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Match the problem with the correct first step for each open number line strategy shown:

<p>Finding 382 - 247 by adding up = Add +100 to 247 Finding 382 - 247 by counting back = Add +3 to 132</p>
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In problem 7, Yun has 780 blocks. Marsha has 545 fewer blocks than Yun. How many blocks does Marsha have? Which operation should you use to solve this problem?

<p>Subtraction (B)</p>
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In problem 7, the answer to Yun has 780 Blocks and Marsha has 545 blocks is 1325 blocks.

<p>False (B)</p>
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In problem 8, what does using an open number line help you do?

<p>Using an open number line helps you visualize the steps involved in subtraction, letting you break it down into smaller, more manageable parts.</p>
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In problem 8, to solve 463 - 258, another way involves counting ______.

<p>back</p>
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Match the following math equations with the method used:

<p>100 + 10 + 10 + 10 + 3 + 2 = 135 = One way. +3-50 -100 |- - 100 = Another way.</p>
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In problem 9, you are requested to create what?

<p>A Math Story (B)</p>
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In problem 3, 530 - 318 = 312.

<p>False (B)</p>
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How do you complete the problems in "Independent Practice?"

<p>Using the open number line to subtract.</p>
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In problem 4, 735 - 429 = ______.

<p>306</p>
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Match the correct questions that go together:

<p>Reasoning = Question 7. Higher Order Thinking = Question 8. Assessment Practice = Question 9.</p>
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Flashcards

Open Number Line

A visual tool used to represent numbers and operations, especially for addition and subtraction.

Adding Up to Subtract

A method of subtraction where you find the difference by adding up from the subtrahend to the minuend.

Subtrahend

The number being subtracted from another number.

Minuend

The number from which another number is subtracted.

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Counting Back to Subtract

A subtraction strategy using the open number line involves counting backwards from the larger number to the smaller number.

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Study Notes

  • To find 382 - 247, use an open number line.

One Way

  • Add up from 247, stopping at 382
  • You can add up to find the difference
  • 247 + 100 = 347
  • 347 + 10 = 357
  • 357 + 10 = 367
  • 367 + 10 = 377
  • 377 + 3 = 380
  • 380 + 2 = 382
  • 100 + 10 + 10 + 10 + 3 + 2 = 135

Another Way

  • Count back to find the difference
  • 382 - 100 = 282
  • 282 - 100 = 182
  • 182 - 50 = 132
  • 132 + 3 = 135
  • 382 - 247 = 135
  • Check the work by adding: 247 + 135 = 382
  • 247 is close to 250, therefore count back 250, and then add 3 to subtract 247
  • Use the open number line to subtract 573 - 459: add 100 to 459 = 559; 559 + 10 = 569; 569 + 1 = 570; 570 + 1 = 571; 571 + 1 = 572; 572 + 1 = 573
  • Use the open number line to subtract 672 - 547

Vocabulary

  • You can add up to subtract on an open number line
  • Start at the number you are subtracting
  • Add up hundreds, tens, and ones.
  • Stop at the number you subtract from

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