# Lesson 13

Multiples of 100

### Lesson Purpose

The purpose of this lesson is for students to reason about the position of numbers relative to their immediate multiples of 100, using number lines to do so.

### Lesson Narrative

In grade 2, students learned to represent whole numbers within 1,000 and make sense of their relative sizes on a number line. They also used number lines to represent addition and subtraction, and they often and intuitively relied on multiples of 10 and 100 as benchmarks to reason about sums and differences. (For example, to find \(105 - 17\), they may start at 105, move 5 to the left to 100, move 10 more to the left to 90 and then move 2 more to land at 88.)

In this lesson, students take a closer look at the relationship between numbers within 1,000 and multiples of 100. The lesson begins by eliciting students’ informal ideas about what it means for numbers to be “close to” multiples of 100. Then, they use number lines to identify the multiples of 100 between which a two- or three-digit number lies and examine their relative distance from the number.

The work with number lines here allows students to reason visually about proximity to multiples of 100, preparing them to reason numerically about nearest multiples of 100 and about the idea of rounding in upcoming lessons.

- Action and Expression

- MLR8

Activity 2: Close to Multiples of 100

### Learning Goals

Teacher Facing

- Recognize that numbers are often approximated by their closest multiples of 10 or 100.
- Understand the meaning of the nearest multiple of 100.

### Student Facing

- Let’s explore multiples of 100 and how other numbers relate to them.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 10 min |

Activity 2 | 25 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

In grade 2, students were introduced to the number line. What previous understandings are students leveraging as they use the number line to find the nearest multiple of 100?

### Suggested Centers

- Target Numbers (1–5), Stage 7: Subtract Hundreds, Tens, or Ones (Addressing)
- How Close? (1–5), Stage 4: Add to 1,000 (Addressing)