Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 10
Math
Unit 1
4th Grade
Lesson 10 of 19
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Lesson Notes
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Round multi-digit numbers to their largest 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
You’ll want to avoid using terms like “round up” and “round down” since these terms can be confusing for students. “Rounding up” a number results in a change in the value of the place to which you’re rounding, where “rounding down” does not. Often students will change the value mistakenly as a result.
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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 4,175 closer to 4,000 or 5,000? Plot 4,000 and 5,000 on the two outermost spots on the number line below. Then plot 4,175 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.
a. Round 84,500 to the nearest ten thousand. Record your answer using the $$\approx$$ symbol.
b. Round 973,120 to the nearest hundred thousand. Record your answer using the $$\approx$$ symbol.
c. Round 1,500 to the nearest thousand. Record your answer using the $$\approx$$ symbol.
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 to the place mentioned below. Show or explain your thinking.
a. Round 4,862 to the nearest thousand.
4,862 ≈ ___________
b. Round 308,724 to the nearest hundred thousand.
308,724 ≈ __________
There are 97,385 people who live in Boulder, Colorado. Cathy thinks that rounds to about 100,000 people. Alonzo thinks it rounds to 90,000 people. Who rounded correctly, Cathy or Alonzo? Show or explain your thinking.
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.
Next
Round multi-digit numbers to any place.
Topic A: Place Value of Multi-Digit Whole Numbers
Review place value understanding for numbers within 1,000.
Standards
4.NBT.A.14.NBT.A.24.NBT.A.34.NBT.B.4
Build numbers to 10,000 and write numbers to that place value in standard, unit, and expanded form.
4.NBT.A.14.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.14.NBT.A.24.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.24.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
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.44.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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