Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 8
Math
Unit 1
4th Grade
Lesson 8 of 19
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Lesson Notes
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Locate multi-digit numbers on a number line and explain their placement.
The core standards covered in this lesson
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.
4.NBT.A.3 — Use place value understanding to round multi-digit whole numbers to any place.
The foundational standards covered in this lesson
2.MD.B.6 — Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram.
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
25-30 minutes
a. Look at the number line below:
Based on where 0 and 100 are, what number do you think the question mark is on? Explain your choice.
b. Look at the number line below:
Based on where 0 and 1,000 are, what number do you think the question mark is on? Explain your choice.
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Van de Walle, John A. Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013.
a. What is the location of the following point?
b. What is the location of the following point?
a. Plot 27,361 on a number line from 27,360 to 27,370.
b. Plot 27,361 on a number line from 27,300 to 27,400.
c. Plot 27,361 on a number line from 27,000 to 28,000.
d. Plot 27,361 on a number line from 20,000 to 30,000.
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
Label all the other tick marks between 4,610 and 4,620. Then plot 4,618.
Plot 4,600 and 4,700 on the two outermost spots on the number line below. Label the rest of the tick marks. Then plot 4,618.
Plot 4,000 and 5,000 on the two outermost spots on the number line below. Label the rest of the tick marks. Then plot 4,618.
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
Compare numbers based on the meanings of the digits using >, <, or = to record the comparison.
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
4.NBT.A.24.NBT.A.3
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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