Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 6
Math
Unit 1
4th Grade
Lesson 6 of 19
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Lesson Notes
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Multiply and divide multiple units by 10. Apply the property of “ten times greater” in the context of problems.
The core standards covered in this lesson
4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
The foundational standards covered in this lesson
2.NBT.A.1 — Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
2.NBT.A.2 — Count within 1000; skip-count by 5s, 10s, and 100s.
2.NBT.A.3 — Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
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
a. Solve.
b. What do you notice about Part (a)? What do you wonder?
c. Use your conclusions from Part (b) to find the solutions below.
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There are about 39,000 fourth graders in Mississippi and about 390,000 fourth graders in Texas. There are about 3,900,000 fourth graders in the United States.
a. How many times more fourth graders are there in Texas than in Mississippi? How many times more fourth graders are there in the United States than in Texas?
b. There are about 3,900 fourth graders in Boston, MA. How many times more fourth graders are there in the United States than in Boston?
Thousands and Millions of Fourth Graders, accessed on April 12, 2021, 1:57 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.
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
Fill in the blank to make the equation true.
a. 70,030 × 10 = ____________
b. ____________ × 10 = 4,090
Reaves Arena in Georgia has 8,250 seats. MetLife Stadium in New Jersey has 10 times as many seats as the Reaves Arena. How many seats are there in MetLife Stadium?
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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Read and write multi-digit numbers using base-ten numerals, number names, and expanded form.
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
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Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers
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
Round multi-digit numbers to their largest place.
4.NBT.A.3
Round multi-digit numbers to any place.
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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