Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 5
Math
Unit 1
4th Grade
Lesson 5 of 19
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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.
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
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Solve.
b. Explain how you solved Part (a).
b. What do you notice about Part (a)? What do you wonder?
c. Use your conclusions from Part (b) to find the solutions below.
The value of the 7 in 276,945 is how many times as much as the 7 in 17,500?
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Fill in the blank to make the following equations true.
a. 6,000 = 10 × ______________
b. 10 × 30,000 = ______________
c. Use pictures, numbers, or words to explain how you got your answer to (b).
Complete the following statements using your knowledge of place value.
a. 10 times as many as ____________ is 70,000.
b. 10 times as many as 100,000 is ________________.
c. Use pictures, numbers, or words to explain how you got your answer to (a).
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 4
Lesson 6
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.
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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