Curriculum / Math / 5th Grade / Unit 1: Place Value with Decimals / Lesson 12
Math
Unit 1
5th Grade
Lesson 12 of 13
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Lesson Notes
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Use place value understanding to round decimals to the nearest whole.
The core standards covered in this lesson
5.NBT.A.4 — Use place value understanding to round decimals to any place.
The foundational standards covered in this lesson
3.NBT.A.1 — Use place value understanding to round whole numbers to the nearest 10 or 100.
4.NBT.A.3 — Use place value understanding to round multi-digit whole numbers to any place.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Is 7.6 closer to 7 or closer to 8? Plot 7 and 8 on the two outermost spots on the number line below. Then plot 7.6 to prove your answer.
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Rounding on the Number Line, accessed on Sept. 11, 2017, 8:36 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Round each of the following numbers to the nearest hundred, ten, and whole. Record your answer with the “$$\approx$$” symbol
a. 99.248
b. 314.5
c. 24.93
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Round each of the following to the nearest whole.
a. 8.546 $${{\approx}}$$ ___________
b. 11.499 $${{\approx}}$$ ___________
Round the following to the nearest hundred, ten, and one.
149.075
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
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Use place value understanding to round decimals to any place.
Topic A: Place Value with Whole Numbers
Build whole numbers to 1 million by multiplying by 10 repeatedly.
Standards
5.NBT.A.15.NBT.A.2
Use whole numbers to denote powers of 10. Explain patterns in the number of zeros when multiplying any powers of 10 by any other powers of 10.
5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the number of zeros of the product when multiplying a whole number by powers of 10.
Explain patterns in the number of zeros of the quotient when dividing a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Explain patterns in the number of zeros of the quotient when dividing a whole number by powers of 10.
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Topic B: Place Value with Decimals
Build decimal numbers to thousandths by dividing by 10 repeatedly.
Explain patterns in the placement of the decimal point when a decimal is multiplied by any power of 10. Recognize that in a multi-digit decimal, a digit in any place represents 10 times as much as it represents in the place to its right.
Explain patterns in the placement of the decimal point when a decimal is divided by a power of 10. Recognize that in a multi-digit decimal, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.
Topic C: Reading, Writing, Comparing, and Rounding Decimals
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.
5.NBT.A.3.A
Compare multi-digit decimals to the thousandths based on meanings of the digits using $${>}$$, $${<}$$, or $$=$$ to record the comparison.
5.NBT.A.3.B
5.NBT.A.4
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