# Lesson 9

Same Digit, Different Value

### Lesson Purpose

The purpose of this lesson is to describe the value of a digit in one place as having ten times the value of the same digit in a place to its right.

### 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)