Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 4
Math
Unit 1
4th Grade
Lesson 4 of 19
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Build numbers to 1,000,000 and write numbers to that place value in standard and unit form.
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.
4.NBT.A.2 — Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
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.
3.NBT.A.3 — Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
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 or at any point to give students more practice with reading numbers, you could have students play "Digit Ski" 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
Look at your paper base ten blocks. The ones piece is the smallest square. Then tens piece is a 10 × 1 strip. The hundreds piece is the larger 10 × 10 square.
a. Use the paper base ten blocks to construct 1,000. Use tape as needed.
b. Use the paper base ten blocks to construct 10,000. Use tape as needed.
c. What comes next? How much bigger will it be?
Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.
a. Look at the ones, tens, hundreds, and thousands base ten blocks.
b. What pattern do you notice in the shapes of the base ten blocks? What pattern do you notice in the names of the place values?
When we write really large numbers, writing commas in between groups of them can help make it easier to write them. We place commas every three places from the right, starting with the ones place. For example, we write 5,678 with the comma placed three places from the right.
a. Write 430325 in standard form with the correct placement of commas. Then read the number name out loud.
b. Write 3 hundred thousands 2 thousands 4 hundreds 5 tens 7 ones in standard form with the correct placement of commas. Then read the number name out loud.
c. Read 50,038 out loud. Then write it in unit form.
Problem Set
Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Write the following numbers in standard form. Include commas where appropriate.
a. 6 thousands 4 tens 9 ones
b. 7 ten thousands 2 thousands 1 hundred 5 tens 3 ones
c. 8 hundred thousands 4 ten thousands 7 hundreds 9 tens 2 ones
Write the following numbers in unit form.
a. 23,091
b. 8,530
c. 360,467
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 3
Lesson 5
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
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.
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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