Lesson 9
Same Digit, Different Value
Lesson Purpose
Lesson Narrative
This lesson shifts the focus from reading and writing numbers to describing the multiplicative relationship between place values in a multi-digit number. In previous lessons, students used base-ten blocks to represent large numbers, and wrote numbers in expanded form. In this lesson, they use their developing understanding of the value of a digit to begin to articulate that a digit in one place is ten times the value as the same digit in a place to its right.
The syntheses in this lesson help students connect the language of “ten times the value” to equations to help them represent this concept.
- Representation
- MLR2
Learning Goals
Teacher Facing
- Describe that the value of a digit in one place represents ten times what it represents in the place to its right.
Student Facing
- Let’s describe the relationship between the digits in multi-digit numbers.
Required Materials
Materials to Copy
- Card Sort: Large Numbers (4 to 6 digits)
Required Preparation
Activity 1:
- Create a set of cards from the blackline master for each group of 2 students.
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 20 min |
| Activity 2 | 15 min |
| Lesson Synthesis | 10 min |
| Cool-down | 5 min |
Suggested Centers
- Greatest of Them All (1–5), Stage 3: Multi-digit Numbers (Addressing)
- Mystery Number (1–4), Stage 4: Fractions with Denominators 5, 8, 10, 12, 100 (Supporting)
Print Formatted Materials
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| Student Task Statements | docx | |
| Lesson Cover Page | docx | |
| Cool Down | Log In | |
| Teacher Guide | Log In | |
| Teacher Presentation Materials | docx | |
| Blackline Masters | zip |