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place value: 5th Grade 🌐 Ver en Español

Number and Operations
Numbers and Basic Operations
Vertical Alignment

TEKS:

1st1.2(A)
2nd2.2(A)
3rd3.2(A)
4th4.2(A)
5th5.2(A)
Structured Conversation Questions
Observational

What is place value?

Place value is...
Relational

How is place value related to rounding?

Place value is related to rounding because...
Inferential

How can you use place value to write a number in expanded notation? Can you give an example?

I can use place value to write a number in expanded notation by...One example is...
Vocab Visual
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Students might notice in this visual:
  • The words thousand and thousandths look similar but mean very different values.
  • The words hundred and hundredths also look similar but represent different types of numbers.
  • The digits in the number are color-coded to match their corresponding place value labels.
  • Each digit is positioned directly above a labeled place value.
  • The digits show how numbers get smaller as you move to the right of the decimal point.
EXTENDING THE DISCUSSION
After the observational question, randomly call on one or more students to share what they or their partner answered. Then ask the class, “Did anyone notice…?” using the suggestions above or anything else you’ve noticed.
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Students might wonder:
  • Why is each digit a different color?
  • How can you tell what each digit is worth?
  • What does the full number equal?
  • Why are there places to the right of the decimal?
  • How do you use this to write numbers in expanded notation?
EXTENDING THE DISCUSSION
After students have shared what they notice, ask the class, “Did anyone wonder…?” using the suggestions above or anything else you might think is interesting or relevant to the lesson.
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Example student responses

To the observational question, What is place value?

LOW-LEVEL

Place value tells you how much a number is worth depending on where it is.

HIGH-LEVEL

Place value is the value of a digit based on where it is in a number. Like, the 6 is in the hundreds place so it’s worth 600.

RESPONDING TO RESPONSES
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
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