Lesson 15
The Nearest Multiples of 1,000, 10,000, and 100,000
Lesson Purpose
Lesson Narrative
Before this lesson, students named multiples of 10,000 and 100,000 that are near given numbers and identified the closest ones. They reasoned visually—by locating the numbers on a number line and approximating their distance from adjacent tick marks that indicate tenthousands, or from endpoints that mark hundredthousands.
In this lesson, students begin to reason numerically—by thinking about the value of the digits in a number to determine its nearest multiple of 1,000, 10,000, and 100,000. They see, for example, that 4,345 is greater than 4,000 but less than 5,000. To determine the multiple of 1,000 that is the nearest to 4,345, they can consider its relationship to 4,500, which is exactly in the middle of 4,000 and 5,000. If it is less than 4,500, it is closer to 4,000. If it is greater than 4,500, then it is closer to 5,000. The number lines play a supporting role here and can be used as needed.
 Representation
 MLR8
Learning Goals
Teacher Facing
 Identify the nearest multiple of 1,000, 10,000, and 100,000 given a multidigit whole number.
Student Facing
 Let’s find multiples of 1 thousand, 10 thousand, and 100 thousand that are the nearest to a number.
Required Preparation
Lesson Timeline
Warmup  10 min 
Activity 1  20 min 
Activity 2  10 min 
Activity 3  15 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Suggested Centers
 Greatest of Them All (1–5), Stage 3: Multidigit Numbers (Addressing)
 Tic Tac Round (3–5), Stage 1: Nearest Ten or Hundred (Supporting)
Print Formatted Materials
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Additional Resources
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