# Lesson 10

Ten Times As Much

### Lesson Purpose

The purpose of this lesson is to write equations to represent the relationship between the value of digits in multi-digit numbers.

### Lesson Narrative

In the previous lesson, students wrote multi-digit numbers in expanded form to highlight the value of each digit. They also described the “ten times” relationship between the value of a digit in one place and the value of the same digit in the place to its right. In this lesson, students use multiplication and division equations to represent this relationship.

- Engagement

### Learning Goals

Teacher Facing

- Write equations to show that each place in a multi-digit number is ten times the value of the place to its immediate right.

### Student Facing

- Let's write equations to show the relationship between the digits in multi-digit numbers.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 15 min |

Activity 2 | 20 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

How did the student work you selected impact the direction of the discussion? What student work might you pick next time if you teach the lesson again?

### 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)