Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 11
Math
Unit 1
4th Grade
Lesson 11 of 19
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Round multi-digit numbers to any place.
The core standards covered in this lesson
4.NBT.A.3 — Use place value understanding to round multi-digit whole numbers 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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Before the Problem Set, you could have students play "Becca's Battle" from Building Conceptual Understanding and Fluency Through Games by the Public Schools of North Carolina.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Is 4,175 closer to 4,100 or 4,200? Plot 4,100 and 4,200 on the two outermost spots on the number line below. Then plot 4,175 to prove your answer.
a. The number 96,381 lies between 96,380 and 96,390 on the number line. Label all the other tick marks between 96,380 and 96,390. Is 96,381 closer to 96,380 or 96,390 on the number line?
b. Which hundred is 96,381 closest to on the number line? Plot 96,300 and 96,400 on the two outermost spots on the number line below. Then plot 96,381 to prove your answer.
c. Which thousand is 96,381 closest to on the number line? Plot 96,000 and 97,000 on the two outermost spots on the number line below. Then plot 96,381 to prove your answer.
d. Which ten thousand is 96,381 closest to? Show or explain your thinking.
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.
a. Solve.
b. What do you notice about the rounded values in Part (a)? What do you wonder?
Grade 4 Mathematics > Module 1 > Topic C > Lesson 9 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Problem Set
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Round 39,150 to the given place:
a. Hundred __________________
b. Thousand __________________
c. Ten thousand __________________
d. Hundred thousand __________________
A veterinarian makes $1,765 in one week. Round the amount of money a veterinarian makes to the nearest hundred and thousand. Which value is more precise? Explain your thinking.
An example response to the Target Task at the level of detail expected of the students.
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
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Lesson 10
Lesson 12
Topic A: Place Value of Multi-Digit Whole Numbers
Review place value understanding for numbers within 1,000.
4.NBT.A.1 4.NBT.A.2 4.NBT.A.3 4.NBT.B.4
Build numbers to 10,000 and write numbers to that place value in standard, unit, and expanded form.
4.NBT.A.1 4.NBT.A.2
Model and write numbers to 10,000 with more than 9 of any unit in standard and unit form.
4.NBT.A.1 4.NBT.A.2 4.NBT.B.4
Build numbers to 1,000,000 and write numbers to that place value in standard and unit form.
Multiply and divide single units by 10. Recognize that a digit represents 10 times the value of what it represents in the place to its right.
4.NBT.A.1
Multiply and divide multiple units by 10. Apply the property of “ten times greater” in the context of problems.
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Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers
Read and write multi-digit numbers using base-ten numerals, number names, and expanded form.
4.NBT.A.2
Locate multi-digit numbers on a number line and explain their placement.
4.NBT.A.2 4.NBT.A.3
Compare numbers based on the meanings of the digits using >, <, or = to record the comparison.
Topic C: Rounding Multi-Digit Whole Numbers
Round multi-digit numbers to their largest place.
4.NBT.A.3
Round multi-digit numbers to any place in more complex cases, including those involving real-world contexts and/or assessing the reasonableness of that estimate.
Topic D: Multi-Digit Whole-Number Addition and Subtraction
Fluently add multi-digit whole numbers using the standard algorithm involving up to two compositions. Solve one-step word problems involving addition.
4.NBT.B.4
Fluently add multi-digit whole numbers using the standard algorithm involving multiple compositions. Solve one-step word problems involving addition.
Solve multi-step word problems involving addition, using rounding to assess the reasonableness of answers.
4.NBT.B.4 4.OA.A.3
Fluently subtract multi-digit whole numbers using the standard algorithm involving up to two decompositions. Solve one-step word problems involving subtraction.
Fluently subtract multi-digit whole numbers using the standard algorithm involving multiple decompositions. Solve one-step word problems involving subtraction.
Solve multi-step word problems involving subtraction, using rounding to assess the reasonableness of answers.
Solve multi-step word problems involving addition and subtraction, using rounding to assess the reasonableness of answers.
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