Lesson 8
Beyond 100,000
Lesson Purpose
Lesson Narrative
In previous grades, students used baseten blocks, diagrams, and expanded form, a specific way of writing a number as a sum of hundreds, tens, and ones, to represent numbers within 1,000. In this lesson, they extend their understanding of place value to write and represent numbers within 1,000,000.
Throughout the lesson, students determine the value represented by given sets of blocks and consider how to use blocks to represent given numbers. The reasoning students use helps to develop conceptual understanding of expanded form, allows them to practice reading and writing large numbers, and prompts them to think about the relative value of each place. In the next lesson, students generalize observations in terms of the relationship between any two adjacent digits in a multidigit number.
The emphasis in this lesson and subsequent ones is not on how to write a number in expanded form. However, this notation may be helpful for students to notice a relationship between the same digits in adjacent places in large numbers. For example, when students expand 23,450 as \(20,\!000 +3,\!000+400+50\) and 2,345 as \(2,\!000+300+40+5\), they see that the digit 2 in 23,450 has ten times the value of the 2 in 2,345.
When students use strategies that are based on place value and our number system, they are looking for and making use of structure (MP7).
 Representation
Learning Goals
Teacher Facing
 Represent, read, and write multidigit whole numbers within 1,000,000, including in expanded form.
Student Facing
 Let’s read, write, and represent numbers beyond 100,000.
Required Materials
Materials to Gather
Required Preparation
Lesson Timeline
Warmup  10 min 
Activity 1  15 min 
Activity 2  10 min 
Activity 3  10 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Suggested Centers
 Greatest of Them All (1–5), Stage 2: Threedigit Numbers (Supporting)
 Mystery Number (1–4), Stage 4: Fractions with Denominators 5, 8, 10, 12, 100 (Supporting)
Print Formatted Materials
For access, consult one of our IM Certified Partners.
Additional Resources
Google Slides  For access, consult one of our IM Certified Partners. 

PowerPoint Slides  For access, consult one of our IM Certified Partners. 